NOBLE DRILLING CORP
DEF 14A, 1997-03-28
DRILLING OIL & GAS WELLS
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<PAGE>   1
                            SCHEDULE 14A INFORMATION
 
         PROXY STATEMENT PURSUANT TO SECTION 14(a) OF THE SECURITIES
                             EXCHANGE ACT OF 1934
                          (AMENDMENT NO.           )

     Filed by the Registrant [X]
     Filed by a Party other than the Registrant [ ]
     Check the appropriate box:
     [ ] Preliminary Proxy Statement       
     [ ] Confidential, for Use of the
         Commission Only (as permitted by
         Rule 14a-6(e)(2))
     [X] Definitive Proxy Statement
     [ ] Definitive Additional Materials
     [ ] Soliciting Material Pursuant to sec. 240.14a-11(c) or sec. 240.14a-12

                          NOBLE DRILLING CORPORATION
                (Name of Registrant as Specified in its Charter)
 
                          NOBLE DRILLING CORPORATION
                  (Name of Person(s) Filing Proxy Statement)
 
Payment of Filing Fee (Check the appropriate box):
   [X] No fee required.
   [ ] Fee computed on table below per Exchange Act Rules 14a-6(i)(l) and 0-11.
 
     (1) Title of each class of securities to which transaction applies:
 
         -----------------------------------------------------------------------
     (2) Aggregate number of securities to which transaction applies:
 
         -----------------------------------------------------------------------
     (3) Per unit price or other underlying value of transaction computed
         pursuant to Exchange Act Rule 0-11:(1)
 
         -----------------------------------------------------------------------
     (4) Proposed maximum aggregate value of transaction:
 
         -----------------------------------------------------------------------
     (5) Total fee paid:
 
         -----------------------------------------------------------------------

(1)  (Set forth the amount on which the filing fee is calculated and state how
     it was determined):       

     [ ] Fee paid previously with preliminary materials.
 
     [ ] Check box if any part of the fee is offset as provided by Exchange Act
         Rule 0-11(a)(2) and identify the filing for which the offsetting fee 
         was paid previously. Identify the previous filing by registration 
         statement number, or the Form or Schedule and the date of its filing.
 
     (1) Amount Previously Paid:
 
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     (2) Form, Schedule or Registration Statement No.:
 
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     (3) Filing Party:
 
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     (4) Date Filed:
 
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<PAGE>   2
                      [NOBLE DRILLING CORPORATION LOGO]


                           NOBLE DRILLING CORPORATION
                        10370 RICHMOND AVENUE, SUITE 400
                              HOUSTON, TEXAS 77042

                    NOTICE OF ANNUAL MEETING OF STOCKHOLDERS

                          TO BE HELD ON APRIL 24, 1997


To the Stockholders of
 Noble Drilling Corporation:

      The annual meeting of stockholders of Noble Drilling Corporation, a
Delaware corporation (the "Company"), will be held on Thursday, April 24, 1997,
at 10:00 a.m., local time, at The Ritz-Carlton, 1919 Briar Oaks Lane, Houston,
Texas, for the following purposes:

            1.   To elect two directors to the class of directors whose
                 three-year term will expire in 2000;

            2.   To consider and vote upon a proposal to approve and ratify the
                 Company's 1991 Stock Option and Restricted Stock Plan as
                 amended and restated; and

            3.   To transact such other business as may properly come before
                 the meeting or any adjournment thereof.

      The Board of Directors has fixed the close of business on March 12, 1997
as the record date for the determination of stockholders entitled to notice of
and to vote at the annual meeting or any adjournment thereof. Only holders of
record of Common Stock at the close of business on the record date are entitled
to notice of and to vote at the meeting.  A complete list of such stockholders
will be available for examination at the offices of the Company in Houston,
Texas during normal business hours for a period of 10 days prior to the
meeting.

      A record of the Company's activities during 1996 and financial statements
for the fiscal year ended December 31, 1996 are contained in the accompanying
1996 Annual Report and Form 10-K. The Annual Report and Form 10-K do not form
any part of the material for solicitation of proxies.

      All stockholders are cordially invited to attend the meeting.
Stockholders are urged, whether or not they plan to attend the meeting, to
sign, date and mail the enclosed proxy or voting instruction card in the
postage-paid envelope provided. If a stockholder who has returned a proxy
attends the meeting in person, such stockholder may revoke the proxy and vote
in person on all matters submitted at the meeting.


                                        By Order of the Board of Directors

                                                 Julie J. Robertson
                                                      Secretary


Houston, Texas
March 28, 1997
<PAGE>   3

                      [NOBLE DRILLING CORPORATION LOGO]



                           NOBLE DRILLING CORPORATION
                        10370 RICHMOND AVENUE, SUITE 400
                              HOUSTON, TEXAS 77042

                                PROXY STATEMENT

                       FOR ANNUAL MEETING OF STOCKHOLDERS
                          TO BE HELD ON APRIL 24, 1997

                                    GENERAL

      This proxy statement is furnished to stockholders of Noble Drilling
Corporation (the "Company") in connection with the solicitation by the Board of
Directors of the Company of proxies for use at the annual meeting of
stockholders to be held at the time and place and for the purposes set forth in
the accompanying notice. The approximate date of mailing of this proxy
statement and the accompanying proxy or voting instruction card is March 28,
1997.

PROXY CARDS AND VOTING INSTRUCTION CARDS

      If a proxy card is enclosed, it serves to appoint proxies for record
holders of common stock, par value $.10 per share ("Common Stock"), of the
Company. Shares represented by a proxy in such form, duly executed and returned
to the Company and not revoked, will be voted at the meeting in accordance with
the directions given. If no direction is made, the proxy will be voted for
election of the directors named in the proxy and for the other proposal set
forth in the notice. Any stockholder giving a proxy may revoke it at any time
before it is voted by communicating such revocation in writing to the Secretary
of the Company or by executing and delivering a later-dated proxy.

      If a voting instruction card is enclosed, it serves as a voting
instruction to the trustee of the Noble Drilling Corporation Thrift Plan, as
amended (the "Thrift Plan"), from the plan participant. The trustee under the
Thrift Plan will vote the shares of Common Stock credited to Thrift Plan
participants' accounts in accordance with such participants' instructions. If
no such voting instructions are received from a participant, then, according to
the terms of the Thrift Plan, the trustee under the Thrift Plan will vote the
shares in such participant's account in its absolute discretion.

VOTING PROCEDURES AND TABULATION

      The Company will appoint one or more inspectors of election to act at the
meeting and to make a written report thereof. Prior to the meeting, the
inspectors will sign an oath to perform their duties in an impartial manner and
according to the best of their ability. The inspectors will ascertain the
number of shares outstanding and the voting power of each, determine the shares
represented at the meeting and the validity of proxies and ballots, count all
votes and ballots, and perform certain other duties as required by law.

      With regard to the election of directors, votes may be cast in favor of
or withheld from each nominee. Votes that are withheld will be excluded
entirely from the vote and will have no effect. Abstentions may be specified
with respect to the proposal to approve and ratify the Company's 1991 Stock
Option and Restricted Stock Plan (the "Option Plan"), as amended and restated,
and will be counted as present for purposes of determining the existence of a
quorum regarding such item of business. Abstentions with respect to this
proposal will have the effect of a negative vote because it requires the
affirmative vote of a majority of shares of Common Stock present in person or
represented by proxy at the meeting and entitled to vote thereon. Under the
rules of the New York Stock Exchange, brokers who hold shares in street name
have the authority to vote on certain "routine" items when they have not
received instructions from beneficial owners. Brokers will have discretionary
authority to vote on both of the scheduled items of business. Under applicable
Delaware law, a broker non-vote (or other limited proxy) will have no effect on
the outcome of the election of directors or the proposal to approve and ratify
the Option Plan as amended and restated.
<PAGE>   4
                               VOTING SECURITIES

      The only voting security of the Company outstanding is its Common Stock.
Only holders of record of Common Stock at the close of business on March 12,
1997, the record date for the meeting, are entitled to notice of and to vote at
the meeting. On the record date for the meeting, there were 132,313,617 shares
of Common Stock outstanding and entitled to be voted at the meeting. A majority
of such shares, present in person or represented by proxy, is necessary to
constitute a quorum. Each share of Common Stock is entitled to one vote.

                SECURITY OWNERSHIP OF CERTAIN BENEFICIAL OWNERS

      The following table sets forth as of December 31, 1996 information with
respect to the only persons who were known to the Company to be the beneficial
owners of more than five percent of the outstanding shares of Common Stock.

<TABLE>
<CAPTION>
                                                                              COMMON STOCK
                                                                           BENEFICIALLY OWNED        
                                                                  -----------------------------------
             NAME AND ADDRESS OF                                      NUMBER            PERCENT OF
              BENEFICIAL OWNER                                       OF SHARES             CLASS     
             ------------------                                   ----------------    ---------------
             <S>                                                 <C>                      <C>
             FMR Corp. . . . . . . . . . . . . . . . . . .       10,438,850 (1)           7.9%
             82 Devonshire Street
             Boston, Massachusetts
</TABLE>

- ---------------
(1)   According to a Schedule 13G filed with the SEC by FMR Corp. jointly with
      Edward C. Johnson 3d, Abigail P. Johnson and Fidelity Management and
      Research Company ("Fidelity") dated February 14, 1997, the amount
      beneficially owned includes (i) 9,659,050 shares owned by several
      investment companies ("Funds") for which Fidelity acts as investment
      adviser and (ii) 37,400 shares held by Fidelity American Special
      Situations Trust ("FASST"), for which Fidelity acts as subadviser. FMR
      Corp. is the parent of Fidelity and is controlled by Edward C. Johnson
      3d. FMR Corp., Fidelity, Mr. Johnson and the Funds have sole investment
      power with respect to the shares owned by the Funds. The Board of
      Trustees of each Fund has sole voting power with respect to the shares
      held by such Fund. The investment adviser of FASST is Fidelity Investment
      Services Limited, a subsidiary of Fidelity International Limited ("FIL").
      FIL, FMR Corp., through its control of Fidelity, and FASST each has sole
      voting and investment power with respect to the shares held by FASST.
      Fidelity Management Trust Company ("Fidelity Trust"), acting as
      investment manager for institutional accounts, is the beneficial owner of
      742,400 shares. Mr. Johnson and FMR Corp, through its control of Fidelity
      Trust, each has sole voting and investment power with respect to the
      742,400 shares.


                                       2
<PAGE>   5
                             ELECTION OF DIRECTORS

      The Certificate of Incorporation and Bylaws of the Company provide for
three classes of directors, with approximately one-third of the directors
constituting the Board being elected each year to serve a three-year term.
Pursuant to the Company's Bylaws, the number of directors has been established
by resolution of the Board at seven, effective immediately after the 1997
annual meeting, including the vacancy in the class whose term expires in 1999
which was created by the death of Johnnie W. Hoffman in 1996.

      The Board of Directors has nominated James C. Day and Marc E. Leland from
the class of directors whose term expires at the 1997 annual meeting for
re-election as directors of the Company to serve three-year terms expiring in
2000.

      The directors nominated for election this year will be elected by a
plurality of the shares of Common Stock present in person or represented by
proxy at the meeting and entitled to vote. All duly submitted and unrevoked
proxies in the form enclosed will be voted for the nominees selected by the
Board of Directors, except where authorization so to vote is withheld. THE
BOARD RECOMMENDS THAT STOCKHOLDERS VOTE FOR THE ELECTION OF ITS NOMINEES FOR
DIRECTOR.

      Information with respect to the directors nominated for election this
year, and the directors whose terms do not expire at the 1997 annual meeting,
is presented below.

                                                  NOMINEES FOR DIRECTOR
JAMES C. DAY,
age 53, director since 1983        Mr. Day has served as Chairman of the Board
                                   since October 22, 1992 and as President and
                                   Chief Executive Officer of the Company since
                                   January 1, 1984. From January 1983 until his
                                   election as President and Chief Executive
                                   Officer, Mr. Day served as Vice President of
                                   the Company. Mr. Day is also a director of
                                   Global Industries Limited and Noble
                                   Affiliates, Inc.

MARC E. LELAND,
age 58, director since 1994        Mr. Leland has served since 1984 as
                                   President of Marc E. Leland & Associates,
                                   Inc., a company engaged in the business of
                                   providing financial advisory services.


                                       CLASS WHOSE TERM EXPIRES IN 1998
MICHAEL A. CAWLEY,
age 49, director since 1985        Mr. Cawley has served as President and Chief
                                   Executive Officer of The Samuel Roberts
                                   Noble Foundation, Inc. (the "Foundation")
                                   since February 1, 1992, after serving as
                                   Executive Vice President of the Foundation
                                   since January 1, 1991. For more than five
                                   years prior to 1991, Mr. Cawley was the
                                   President of Thompson & Cawley, a
                                   professional corporation, attorneys at law;
                                   and Mr. Cawley currently serves as of
                                   counsel to the law firm of Thompson, Cawley,
                                   Veazey & Burns, a professional corporation.
                                   Mr. Cawley has served as a trustee of the
                                   Foundation since 1988 and is also a director
                                   of Noble Affiliates, Inc. and Panhandle
                                   Royalty Company.

TOMMY C. CRAIGHEAD,
age 68, director since 1988        Mr. Craighead is the President and owner of
                                   T. C. Craighead & Company (which is the
                                   general partner of The Joy Partners, Ltd.)
                                   and Astro Oil, Inc., all based in Ardmore,
                                   Oklahoma. He is also Vice-President of
                                   Tom-Sam, Inc. He has been an oil and gas
                                   lease broker and independent operator since
                                   1962.





                                       3
<PAGE>   6
JAMES L. FISHEL,
age 65, director since 1989        Mr. Fishel retired as Vice President and
                                   Manager of Corporate Credit Operations of
                                   General Electric Capital Corporation
                                   ("GECC") in 1994, after serving with GECC in
                                   various positions since 1974. He is also a
                                   director of American Health Properties,
                                   Inc., which is a real estate investment
                                   company.

                                   CLASS WHOSE TERM EXPIRES IN 1999
LAWRENCE J. CHAZEN,
age 56, director since 1994        Mr. Chazen has served since 1977 as Chief
                                   Executive Officer of Lawrence J. Chazen,
                                   Inc., a California registered investment
                                   advisor engaged in providing financial
                                   advisory services.


            ADDITIONAL INFORMATION REGARDING THE BOARD OF DIRECTORS

BOARD MEETINGS AND COMMITTEES

      During 1996 the Board of Directors held nine meetings. The Company has
standing audit, compensation and nominating committees of the Board of
Directors. The members of the committees, number of meetings held by each
committee in 1996, and a brief description of the functions performed by each
committee are set forth below:

            Audit Committee (four meetings). Lawrence J. Chazen, Chairman; and
      James L. Fishel. The primary responsibilities of the audit committee are
      to review with the Company's auditors the scope of the audit procedures
      to be applied in conducting the annual audit and the results of the
      annual audit. In addition, the audit committee has responsibility to
      provide oversight review to the management of the Company and its
      subsidiaries responsible for the periodic review of the Company's
      environmental policy statement and procedures and internal controls
      regarding compliance with applicable environmental laws and regulations
      and the establishment of a program for periodic compliance audits.

            Compensation Committee (four meetings). Tommy C. Craighead,
      Chairman; Michael A. Cawley; Marc E.  Leland; and Bill M. Thompson. The
      primary responsibilities of the compensation committee are to review and
      set the compensation levels of the officers of the Company, including
      those officers who are also directors, evaluate the performance of
      management, consider management succession and related matters,
      administer the annual compensation plans of the Company and administer
      the long-term incentive compensation plans of the Company.

            Nominating Committee (one meeting). Michael A. Cawley, Chairman;
      Tommy C. Craighead; James C. Day; and Bill M. Thompson. The primary
      responsibility of the nominating committee is to select and recommend
      nominees for director of the Company. The nominating committee will
      consider nominees recommended by stockholders entitled to vote for the
      election of directors, provided that such recommendations are made in
      accordance with the Bylaws of the Company. Generally, the Bylaws provide
      that a stockholder must deliver written notice to the Secretary of the
      Company not later than 90 days prior to the annual meeting naming such
      stockholder's nominee(s) for director and specifying certain information
      concerning such stockholder and nominee(s).  Accordingly, stockholder
      nominee(s) for director to be presented at the 1998 annual meeting of
      stockholders must be received by the Company no later than January 23,
      1998.

      Compensation Committee Interlocks and Insider Participation. The current
members of the compensation committee identified above were the only persons
who served on such committee during 1996, except that Mr. Hoffman served on the
compensation committee prior to his death in 1996. Mr. Hoffman was an officer
of the Company prior to his retirement in 1986. Mr. Day serves as an executive
officer of certain wholly owned subsidiaries of the Company, and in some
instances, one or more directors of these subsidiaries is also an executive
officer of the Company. However, Mr. Day's compensation is set solely by the
compensation committee of the Board of Directors of the Company, and he
receives no additional compensation for performing duties as an executive
officer of these subsidiaries. Neither Mr. Day nor any other officer or
employee of the Company or its subsidiaries is a member of the Company's
compensation committee.





                                       4
<PAGE>   7
COMPENSATION OF DIRECTORS

      Annual Retainer and Other Fees and Expenses. Directors (other than
officers of the Company) are paid an annual retainer of $25,000 plus $1,000 for
each Board meeting attended. Such directors also receive a fee of $500 for each
Board committee meeting attended, but only if the committee meeting is held
otherwise than in connection with a scheduled Board meeting. A director who is
an officer of the Company receives a fee of $100 for each Board meeting
attended. The Company also reimburses directors for travel, lodging and related
expenses they may incur in attending Board and committee meetings.

      Under the terms of the Equity Compensation Plan for Non-Employee
Directors, effective commencing in 1996, non-employee directors are paid
$5,000 of their annual retainer in Common Stock at the end of each year and are
permitted to elect to apply up to 100 percent of the balance of such retainer
to the purchase of Common Stock on a quarterly basis.

      Non-Employee Director Stock Options. Under the 1992 Nonqualified Stock
Option Plan for Non-Employee Directors (the "1992 Option Plan"), which was
approved and ratified by stockholders at the 1993 annual meeting, non-employee
directors receive a one-time grant of an option to purchase 10,000 shares of
Common Stock. Thereafter, on the next business day after each annual meeting of
stockholders of the Company, such directors receive an annual grant of an
option to purchase 3,500 shares of Common Stock. The options are granted at
fair market value on the grant date and are exercisable from time to time over
a period commencing one year from the grant date and ending on the expiration
of 10 years from the grant date, unless terminated sooner as described in the
1992 Option Plan.





                                       5
<PAGE>   8
                        SECURITY OWNERSHIP OF MANAGEMENT

      The following table sets forth as of January 31, 1997 the beneficial
ownership of Common Stock by each director of the Company, each named executive
officer listed in the Summary Compensation Table appearing on page 10 of this
proxy statement, and all directors and executive officers as a group.

<TABLE>
<CAPTION>
                                                                              COMMON STOCK
                                                                         BENEFICIALLY OWNED (1)      
                                                                  -----------------------------------
                                                                       NUMBER            PERCENT OF
            NAME                                                     OF SHARES           CLASS (2)   
            ----                                                  ----------------    ---------------
            <S>                                                   <C>                     <C>
            Directors                                     
            Michael A. Cawley . . . . . . . . . . . . . .         5,537,802 (3)(4)        4.2%
            Lawrence J. Chazen  . . . . . . . . . . . . .            10,506 (4)             --
            Tommy C. Craighead  . . . . . . . . . . . . .            53,006 (4)             --
            James C. Day  . . . . . . . . . . . . . . . .           697,091 (4)           0.5%
            James L. Fishel . . . . . . . . . . . . . . .            17,253 (4)             --
            Marc E. Leland  . . . . . . . . . . . . . . .            48,569 (4)             --
            Bill M. Thompson  . . . . . . . . . . . . . .            23,753 (4)             --
                                                          
            Named Executive Officers (excluding           
             any director named above) and Group          
            Byron L. Welliver . . . . . . . . . . . . . .           250,006 (4)           0.2%
            Julie J. Robertson  . . . . . . . . . . . . .            75,060 (4)           0.1%
                                                          
            All directors and executive                   
             officers as a group (9 persons)  . . . . . .         6,713,046 (5)           5.1%
</TABLE>

- --------------
                  

(1)   Unless otherwise indicated, the beneficial owner has sole voting and
      investment power with respect to all shares listed.
(2)   The percent of class shown is less than one-tenth of one percent unless
      otherwise indicated.  
(3)   Includes 5,474,639 shares held of record by the Foundation. Mr. Cawley, 
      as President and Chief Executive Officer and a trustee of the Foundation,
      may be deemed to beneficially own, and have voting and investment power 
      with respect to, the 5,474,639 shares held by the Foundation. As one of
      the nine members of the board of trustees of the Foundation, Mr. Cawley
      does not represent sufficient voting power on the Foundation's board of
      trustees to determine voting or investment decisions with respect to the
      5,474,639 shares. Mr. Cawley disclaims any pecuniary interest in the
      5,474,639 shares.
(4)   Includes shares attributable to shares of Common Stock not outstanding
      but subject to currently exercisable options, as follows: Mr. Cawley --
      62,000 shares; Mr. Chazen -- 10,000; Mr. Craighead -- 17,000 shares; Mr.
      Day -- 450,999 shares; Mr. Fishel -- 17,000; Mr. Leland -- 10,000; Mr.
      Thompson -- 13,500 shares; Mr. Welliver -- 184,666 shares; and Ms.
      Robertson -- 51,799 shares.
(5)   Includes 816,964 shares not outstanding but subject to currently
      exercisable options and 5,474,639 shares held of record by the
      Foundation. See footnotes (3) and (4) above.





                                       6
<PAGE>   9
                             EXECUTIVE COMPENSATION

      The following report of the compensation committee on executive
compensation and the information herein under "Executive
Compensation--Performance Graph" shall not be deemed to be "soliciting
material" or to be "filed" with the SEC or subject to the SEC's proxy rules,
except for the required disclosure herein, or to the liabilities of Section 18
of the Securities Exchange Act of 1934 (the "Exchange Act"), and such
information shall not be deemed to be incorporated by reference into any filing
made by the Company under the Securities Act of 1933 or the Exchange Act.

                      REPORT OF THE COMPENSATION COMMITTEE
                           ON EXECUTIVE COMPENSATION

To the Stockholders
of Noble Drilling Corporation:

      As members of the compensation committee (the "Committee") of the Board
of Directors, it is our responsibility to review and set the compensation
levels of the Company's Chief Executive Officer ("CEO") and other executives,
evaluate the performance of management, and consider management succession and
related matters. In addition, we administer the annual and long-term incentive
compensation plans of the Company. All decisions by the Committee relating to
the compensation of executive officers are reviewed by the full Board, except
for decisions about grants or awards under the 1991 Stock Option and Restricted
Stock Plan (the "Option Plan") of the Company, which are made solely by the
Committee in accordance with the terms of the Option Plan. Decisions under the
Option Plan were made by a stock option committee of the Board in 1996 prior to
the death of director Johnnie W. Hoffman, following which the duties of the
stock option committee were consolidated with those of the Committee.

      The Company has retained the services from time to time of Towers Perrin
("Towers Perrin") and William M. Mercer, Incorporated ("Mercer"), management
and compensation consulting firms, to assist the Committee in the performance
of its responsibilities. The Committee considers information with respect to
the reasonableness of compensation paid to senior officers of the Company, as
well as all employees of the Company and its subsidiaries in managerial
positions. The Committee also takes into account how compensation compares to
compensation paid by competitors in the Company's industry as well as the
performance of the Company. Members of the Committee review results of
compensation surveys provided by Towers Perrin, Mercer and others.

COMPENSATION POLICIES AND PROGRAMS

      The compensation policies of the Company, set by management and supported
by the Committee, focus on enhancing shareholder value. Specific policies are
designed to attract, motivate and retain persons of high quality who will have
the skill, training and dedication to assist the Company to achieve its
corporate goals. The executive compensation program for 1996 consisted of three
elements: base salary, annual incentive bonus, and long-term incentive through
the granting of stock options and awarding of restricted stock pursuant to the
Option Plan.

      Base Salary: Base salary for executive officers is determined principally
by competitive factors and the marketplace. The policy of the Committee is
generally to set base salary levels for positions at approximately the average
levels determined from survey information for positions deemed comparable by
the Committee.

      Annual Incentive Bonus: The compensation policy of the Company is that a
part of the annual compensation of each officer be related to and contingent
upon the performance of the Company, as well as the individual contribution of
each officer. The short-term incentive compensation plan of the Company (the
"STIP") is available to all full-time employees of the Company or its
subsidiaries in salary classifications 18 and higher who have completed one
year of service at the close of the plan year (December 31). The bonus earned
by employees with less than two years of service is prorated based on the
number of full months served. The target bonus for an employee is the base
salary at year end of such employee multiplied times the percentage factor
assigned to such employee's salary classification. Target percentage factors
range from 15 to 70 percent, with a factor of 70 percent for the CEO and a
maximum factor for an executive officer other than the CEO of 35 percent. The
STIP was amended in 1996 to increase the target percentage factor for the CEO
from 50 to 70 percent.





                                       7
<PAGE>   10
      Annual performance goals for the Company for 1996 were weighted with
respect to five criteria as follows: increased shareholder value (defined as
share price performance compared to industry peer group) (30 percent), cash
flow from operations (30 percent), major new contracts/operating days (20
percent), net income (10 percent), and safety results (10 percent). The
division goals for 1996 were weighted with respect to four criteria as follows:
operating days (40 percent), cash flow from operations (40 percent), safety
results (10 percent), and rig maintenance and appearance (10 percent). The
Committee establishes the annual performance goals at the beginning of each
year.

      Each goal weighting percentage is subject to adjustment within a range of
zero for achievement of less than 75 percent of the goal to 200 percent for
achievement of greater than 135 percent of the goal. The combined, weighted
goal achievement is then determined within a range of zero for achievement of
less than 65 percent of the goal to 200 percent for achievement of more than
160 percent of the goal. The target bonus for employees of divisions is also
adjusted to reflect the combined percentage of achievement of all assigned
goals using the ratio of 50 percent for division goal achievement and 50
percent for Company goal achievement. The bonus amount is then determined by
multiplying the target bonus times the applicable multiplier. Using these
percentages, the bonus received by the CEO will not exceed 140 percent of his
salary and the bonus received by any executive officer other than the CEO will
not exceed 70 percent of his salary.

      Long-term Incentive Compensation: It is also the compensation policy of
the Company to use stock options and restricted stock as a means of furnishing
longer-term incentive to officers and other employees of the Company and its
subsidiaries. Under the Option Plan, which was approved by stockholders at the
1991 annual meeting and amended with stockholder approval in 1994, the Company
has flexibility in creating options and awarding restricted stock.

      On January 18, 1996, the stock option committee of the Board approved the
awarding of performance-based restricted stock to the officers and several
other key employees of the Company and its subsidiaries. Pursuant to the
performance restricted stock agreements setting forth the terms and conditions
of the awards, the shares of restricted stock are subject to certain
vesting/forfeiture provisions over a five-year period, continuous employment by
the awardee, and achievement over a three-year period of performance goals by
the Company. The performance goals for the awards made on January 18, 1996 were
weighted with respect to two criteria as follows: total return to stockholders
(50 percent) and absolute price per share of Common Stock (as determined by the
average price during the last quarter of 1998) (50 percent).

      On January 31, 1996, the stock option committee of the Board considered
stock option grants to each of the officers of the Company. Each of those
officers received stock options that were based on his or her responsibilities
and relative position in the Company. The stock options granted to each
employee in 1996 were granted with an exercise price of fair market value at
the date of grant. One-third of the stock options granted in 1996 vest annually
commencing on the first anniversary of the date of grant.

      On July 25, 1996, the stock option committee of the Board awarded an
aggregate of 58,863 shares of restricted stock to a total of six employees,
including the three executive officers of the Company, as a bonus for their
contributions in connection with the successful completion of the Neddrill
acquisition on July 1, 1996. Pursuant to the performance restricted stock
agreements setting forth the terms and conditions of the awards, the shares of
restricted stock are subject to vesting/forfeiture provisions over a two-year
period and continuous employment by the awardee. The Common Stock had a market
value at the date of award of $13.75 per share.

1996 COMPENSATION OF CEO

      The 1996 salary of the CEO was determined by the Committee in October
1995 as a function of performance and competitive industry factors as provided
by Mercer, a management and compensation consulting firm. In October 1996, the
Committee approved an increase in salary for the CEO to $500,000 per year,
effective November 1, 1996, based upon competitive and financial data presented
by Towers Perrin, a management and compensation consulting firm. The calculated
bonus paid to the CEO for 1996 under the STIP, applying the performance goals
criteria and adjustment factors discussed above under "Compensation Policies
and Programs -- Annual Incentive Bonus," was $700,000.





                                       8
<PAGE>   11
      On January 31, 1996, the stock option committee of the Board granted the
CEO an option to purchase 100,000 shares of Common Stock pursuant to the Option
Plan. In granting this option, the committee relied upon competitive data
provided by Mercer and its own assessment of the CEO's performance. Pursuant to
the above described policies and programs regarding restricted stock awarded
under the Option Plan, the stock option committee of the Board awarded the CEO
37,500 shares of performance-based restricted stock in January 1996 and 36,364
shares of restricted stock in July 1996.

TAX DEDUCTIBILITY OF EXECUTIVE COMPENSATION

      Section 162(m) of the Internal Revenue Code contains provisions which
could limit the deductibility of certain compensation payments to the Company's
executive officers. The Company believes that any compensation realized in
connection with the exercise of stock options granted by the Company will
continue to be deductible as performance-based compensation. The policy of the
Company is to design its compensation programs generally to preserve the tax
deductibility of compensation paid to its executive officers. The Committee
could determine, however, taking into consideration the burdens of compliance
with Section 162(m) and other relevant facts and circumstances, to pay
compensation that is not fully deductible, if the Committee believes such
payments are in the Company's best interests.

SUMMARY

      The members of the Committee believe that linking executive compensation
to corporate performance results in a better alignment of compensation with
corporate goals and stockholder interests. As performance goals are met or
exceeded, resulting in increased value to stockholders, executive officers are
to be rewarded commensurately. The members of the Committee believe that
compensation levels during 1996 adequately reflect the compensation goals and
policies of the Company.


March 28, 1997                                COMPENSATION COMMITTEE

                                              Tommy C. Craighead, Chairman
                                              Michael A. Cawley
                                              Marc E. Leland
                                              Bill M. Thompson





                                       9
<PAGE>   12
      The following table sets forth certain summary information concerning the
compensation awarded to, earned by or paid to the Chief Executive Officer of
the Company and each other person who is an executive officer of the Company
whose combined salary and bonus for 1996 exceeded $100,000 (collectively, the
"named executive officers") for the years indicated.

                           SUMMARY COMPENSATION TABLE
<TABLE>
<CAPTION>


                                                                                    Long-Term
                                                                                   Compensation
                                                                             -------------------------
                                              Annual Compensation                     Awards                      
                                        --------------------------------------------------------------
                                                                                           Securities
                                                                  Other                    Underlying
                                                                  Annual     Restricted      Options        All Other
         Name and                                                Compen-       Stock       (number of        Compen-
    Principal Position        Year       Salary       Bonus       sation     Awards(1)      shares)(2)        sation  
    ------------------        ----       ------       -----      --------    ---------    ------------      ----------
 <S>                          <C>       <C>        <C>           <C>         <C>            <C>          <C>       
 James C. Day,                1996      $ 425,000  $  700,000    $   5,476   $  500,000     100,000        $  13,023(3)
 Chairman, President          1995      $ 379,375  $        0    $   4,699   $        0     100,000        $  10,996
 and CEO                      1994      $ 295,000  $   95,150    $   6,161   $        0     100,000        $  10,998



 Byron L. Welliver,           1996      $ 191,667  $  150,500    $   3,488   $  137,500      40,000        $   9,883(4)
 Senior Vice                  1995      $ 180,875  $        0    $   3,307   $        0      35,000        $   6,985
 President--                  1994      $ 165,000  $   37,250    $   3,307   $        0      30,000        $   7,321
 Finance, Treasurer and
 Controller

 Julie J. Robertson,          1996      $ 115,833  $   81,000    $       0   $   45,800      25,000        $   6,950(4)
 Vice President--             1995      $ 101,500  $        0    $       0   $        0      25,000            6,470
 Administration and           1994      $  85,000  $   16,450    $       0   $        0      15,000            4,562
 Corporate Secretary
</TABLE>

- ---------------

(1)   Dollar values of awards of restricted Common Stock ("Restricted Shares")
      shown in the table are based on the closing price of the Common Stock on
      July 24, 1996 ($13.75), the day preceding the date of the awards, and
      represent the following number of shares: Mr. Day -- 36,364 shares; Mr.
      Welliver -- 10,000 shares; and Ms.  Robertson -- 3,333 shares. These
      Restricted Shares will vest, if at all, 50 percent each year on a
      cumulative basis commencing one year from the date of award. The total
      number of Restricted Shares held, and their aggregate value, at December
      31, 1996, were as follows: Mr. Day -- 148,864 shares valued at
      $2,959,000; Mr. Welliver -- 49,000 shares valued at $974,000; and Ms.
      Robertson -- 16,083 shares valued at $320,000. Delivery of the Restricted
      Shares (and any dividends paid on the Common Stock) is subject to
      vesting/forfeiture provisions, continuous employment of the awardee by
      the Company or any of its subsidiaries and, with respect to Restricted
      Shares other than those reported in the table above, achievement of
      performance goals by the Company. For information regarding Restricted
      Shares (other than those reported in the table above) awarded in 1996
      subject to performance-based conditions, see "Long-Term Incentive Plans
      -- Awards in 1996" on page 12.
(2)   Options represent the right to purchase shares of Common Stock at a fixed
      price per share.  
(3)   Consists of Company (or subsidiary) contributions to defined contribution
      plan (and unfunded, nonqualified excess benefit plan) of $9,000, term 
      life insurance premiums of $3,123 and directors' fees of $900.  
(4)   Consists of Company (or subsidiary) contributions or other allocations 
      to defined contribution plan (and unfunded, nonqualified excess benefit 
      plan) and term life insurance premiums, respectively, as follows: 
      Mr. Welliver -- $8,719 and $1,164; and Ms. Robertson -- $6,950 and $0.





                                       10
<PAGE>   13
      The following table sets forth certain information with respect to
options to purchase Common Stock granted during the year ended December 31,
1996 to each of the named executive officers.

                           OPTION/SAR GRANTS IN 1996
<TABLE>
<CAPTION>
                                                                                       POTENTIAL REALIZABLE
                                                                                      VALUE AT ASSUMED ANNUAL
                                                                                       RATES OF STOCK PRICE
                                                                                      APPRECIATION FOR OPTION
                                         INDIVIDUAL GRANTS                                   TERM (1)
                         --------------------------------------------------           -----------------------                  
                           Number of                  
                          Securities      Percent of  
                          Underlying         Total                          
                            Options         Options     Exercise            
                            Granted       Granted to      Price     Expira- 
                          (number of       Employees       Per        tion  
 Name                      shares) (2)      in 1996       Share       Date             5% (3)       10% (4)
 ----                    -------------     ---------     -------    -------           -------      ----------
 <S>                        <C>             <C>          <C>        <C>               <C>          <C>
 James C. Day               100,000           7%         $9.8125    1/30/06           $618,000     $1,560,000

 Byron L. Welliver           40,000           3%         $9.8125    1/30/06           $247,000      $ 624,000

 Julie J. Robertson          25,000           2%         $9.8125    1/30/06           $155,000      $ 390,000
</TABLE>


- ---------------

(1)   The values shown are based on the indicated assumed annual rates of
      appreciation compounded annually. Actual gains realized, if any, on stock
      option exercises and Common Stock holdings are dependent on the future
      performance of the Common Stock and overall stock market conditions.
      There can be no assurance that the values shown in this table will be
      achieved.
(2)   Represents a single grant of options on January 31, 1996. One-third of
      the options became exercisable on January 31, 1997, and one-third of the
      options becomes exercisable on each of January 31, 1998 and 1999. Options
      granted in 1996 were without SARs.
(3)   Represents an assumed market price per share of Common Stock of $15.99.
(4)   Represents an assumed market price per share of Common Stock of $25.41.





                                       11
<PAGE>   14
      The following table sets forth certain information with respect to the
exercise of options to purchase Common Stock and SARs during the year ended
December 31, 1996, and the unexercised options held at December 31, 1996 and
the value thereof, by each of the named executive officers.

                    AGGREGATED OPTION/SAR EXERCISES IN 1996
                         AND 12/31/96 OPTION/SAR VALUES

<TABLE>
<CAPTION>
                                                                                                         
                                                            NUMBER OF                     VALUE OF       
                                                           SECURITIES                   UNEXERCISED      
                         SHARES                            UNDERLYING                   IN-THE-MONEY     
                        ACQUIRED                         OPTIONS/SARS AT              OPTIONS/SARS AT    
                      ON EXERCISE                       12/31/96 (SHARES)                  12/31/96      
                        (NUMBER        VALUE       --------------------------    ---------------------------
       NAME            OF SHARES)     REALIZED     EXERCISABLE  UNEXERCISABLE    EXERCISABLE   UNEXERCISABLE
- --------------------   ----------     --------     -----------  -------------    -----------   -------------
<S>                       <C>        <C>              <C>            <C>        <C>             <C>
James C. Day ........          0     $        0       384,000        166,667    $  5,688,000    $ 1,985,000
Byron L. Welliver....     50,000     $  840,625       159,666         63,334    $  2,342,000    $   745,000
Julie J. Robertson...          0     $        0        35,133         41,667    $    496,000    $   496,000
</TABLE>


      The following table sets forth certain information with respect to awards
of performance-based Restricted Shares made during the year ended December 31,
1996 to each of the named executive officers. For information regarding awards
of Restricted Shares not subject to performance-based conditions, see "Summary
Compensation Table."

                   LONG-TERM INCENTIVE PLANS - AWARDS IN 1996

<TABLE>
<CAPTION>
                                                            NUMBER OF           PERFORMANCE OR
                                                             SHARES,          OTHER PERIOD UNTIL
                                                         UNITS OR OTHER          MATURATION OR
          NAME                                            RIGHTS(1)(3)            PAYOUT (2)  
          ----                                         ------------------       --------------
          <S>                                                 <C>                 <C>
          James C. Day  . . . . . . . . . . . . . .           37,500              1/96--3/99
          Byron L. Welliver . . . . . . . . . . . .           13,000              1/96--3/99

          Julie J. Robertson  . . . . . . . . . . .            4,250              1/96--3/99
</TABLE>

- ---------------

(1)   Delivery of these Restricted Shares is subject to vesting/forfeiture
      provisions, achievement of performance goals by the Company, and
      continuous employment of the awardee by the Company or any of its
      subsidiaries.
(2)   As soon as practicable after December 31, 1998 (the "Performance Date"),
      the Compensation Committee of the Board of Directors will review the
      performance goals applicable to the award (see footnote 3 below) and
      confirm the maximum number of Restricted Shares, if any, that may be
      vested (the "Calculated Shares"). The Calculated Shares will then vest,
      if at all, 33-1/3 percent annually on a cumulative basis commencing on
      the March 31st immediately following the Performance Date.
(3)   The number of Restricted Shares deemed earned will be determined based on
      the following corporate objectives (each to be given a 50 percent
      weight): (i) total return to stockholders (as compared to a peer group)
      and (ii) absolute target price per share of Common Stock (as determined
      in the last quarter of 1998). The percentage of Restricted Shares deemed
      earned under each corporate objective can range from zero percent to 100
      percent. Restricted Shares delivered will include any dividends paid on
      the Common Stock.





                                       12
<PAGE>   15
DEFINED BENEFIT PLANS

      The defined benefit plans of the Company that cover its executive
officers provide the benefits shown below. The estimates assume that benefits
are received in the form of 10-year certain and life annuity.

                               PENSION PLAN TABLE

<TABLE>
<CAPTION>
                                                       ESTIMATED ANNUAL BENEFITS UPON RETIREMENT
                                            AT AGE 65 AFTER COMPLETION OF THE FOLLOWING YEARS OF SERVICE (2)                       
       FIVE-YEAR AVERAGE                 ---------------------------------------------------------------------
     ANNUAL COMPENSATION (1)                 15                 20                   25                   30 
     -----------------------                ----               ----                 ----                 ----
      <S>                                <C>                <C>                 <C>                   <C>
      $ 125,000   . . . . . . .          $ 30,000           $ 40,000            $ 50,000              $ 60,000
        200,000   . . . . . . .            48,000             64,000              80,000                96,000
        300,000   . . . . . . .            72,000             96,000             120,000               144,000
        400,000   . . . . . . .            96,000            128,000             160,000               192,000
        600,000   . . . . . . .           144,000            192,000             240,000               288,000
        800,000   . . . . . . .           192,000            256,000             320,000               384,000
      1,000,000   . . . . . . .           240,000            320,000             400,000               480,000
      1,400,000   . . . . . . .           336,000            448,000             560,000               672,000
</TABLE>

- ---------------

(1)   Benefit amounts under the Noble Drilling Salaried Employees' Retirement
      Plan (and unfunded, nonqualified excess benefit plan) are based on an
      employee's vested percentage, average monthly compensation and number of
      years of benefit service (maximum 30 years). The average monthly
      compensation is defined in the plan generally to mean the participant's
      average monthly rate of compensation from the Company for the five
      successive calendar years which give the highest average monthly rate of
      compensation for the participant. Plan compensation is defined (with
      certain exceptions) to mean basic compensation, bonuses, commissions and
      overtime pay, exclusive of extraordinary compensation but prior to
      reduction for any compensation deferred under a cash or deferred
      arrangement qualifying under Sections 401(k) or 125 of the Internal
      Revenue Code of 1986, as amended. Accordingly, the amounts reported in
      the Summary Compensation Table included elsewhere herein under the table
      caption "Annual Compensation" approximate plan compensation for 1996.
(2)   Retirement benefits shown above are calculated using 1.6 percent of final
      average pay multiplied by years of service. This slightly overstates the
      benefit since that part of the final average pay that is below the Social
      Security "covered compensation" level should be multiplied by 1.0 percent
      instead of 1.6 percent. "Covered compensation" is the average of the
      Social Security Wage Bases during the 35-year period ending with the year
      the employee reaches Social Security Retirement Age. The amount of
      benefit shown is not subject to deductions for Social Security.

      As of December 31, 1996, the named executive officers had the following
approximate credited years of service for retirement purposes: Mr. Day--19; Mr.
Welliver--15; and Ms. Robertson--8.





                                       13
<PAGE>   16
PERFORMANCE GRAPH

      The following graph sets forth the cumulative total stockholder return
for the Common Stock, the NYSE Stock Market Index (U.S. Companies), and a
Competitor Group Index for the years indicated as prescribed by the SEC's
rules.

              COMPARISON OF FIVE YEAR CUMULATIVE TOTAL RETURN (1)
        AMONG NOBLE DRILLING CORPORATION, NYSE STOCK MARKET INDEX (U.S.
                   COMPANIES) AND COMPETITOR GROUP INDEX (2)


<TABLE>
<CAPTION>
- ----------------------------------------------------------------------------------------------
                                    1991       1992      1993       1994       1995      1996
- ----------------------------------------------------------------------------------------------
 <S>                                <C>        <C>       <C>        <C>        <C>       <C>
 Company                            100        142.0     280.0      188.0      288.0     636.0
 NYSE Stock Market Index            100        108.8     120.1      120.1      162.8     197.4
 (U.S. Companies)                   
 Competitor Group Index (3)         100         94.0     158.5      128.9      259.2     602.9
- ----------------------------------------------------------------------------------------------
</TABLE>

(1) Total return assuming reinvestment of dividends. Assumes $100 invested on 
    January 1, 1992 in Common Stock, NYSE Stock Market Index (U.S. Companies) 
    and a Company constructed competitor group index.                         
(2) Fiscal year ending December 31.
(3) In accordance with the SEC's rules, the Company has elected to select a    
    group of peer companies on an industry basis for comparison purposes. The  
    competitor group is composed of eight industry participants: Atwood        
    Oceanics, Inc., Cliffs Drilling Company, Energy Service Company, Inc.      
    (ENSCO), Falcon Drilling Company, Inc., Global Marine Inc., Marine Drilling
    Companies, Inc., Reading & Bates Corporation and Rowan Companies, Inc.     
    Total return calculations were weighted according to the respective        
    company's market capitalization.                                           
                                                                               





                                       14
<PAGE>   17
SUPPLEMENTAL PERFORMANCE GRAPH

    The Company has elected to include a supplemental performance graph which
compares the cumulative total stockholder return for the Common Stock, the NYSE
Stock Market Index (U.S. Companies) and a Competitor Group Index for the period
indicated below.

              COMPARISON OF NINE YEAR CUMULATIVE TOTAL RETURN (1)
        AMONG NOBLE DRILLING CORPORATION, NYSE STOCK MARKET INDEX (U.S.
                   COMPANIES) AND COMPETITOR GROUP INDEX (2)




<TABLE>
- -------------------------------------------------------------------------------------------------------------------
                                      1987    1988    1989    1990     1991    1992    1993    1994   1995    1996
- -------------------------------------------------------------------------------------------------------------------
      <S>                              <C>    <C>     <C>     <C>      <C>     <C>     <C>     <C>    <C>     <C>
      Company                          100    121.9   231.3   181.3     78.1   110.9   218.8   146.9  225.0   496.9
      NYSE Stock Market Index          100    117.6   152.5   145.7    191.3   208.0   229.8   229.7  311.3   377.5
      (U.S.Companies)
      Competitor Group Index (3)       100     88.2   158.9   139.9     80.5    75.7   127.7   103.8  208.8   485.6
- -------------------------------------------------------------------------------------------------------------------
</TABLE>
(1) Total return assuming reinvestment of dividends. Assumes $100 invested on 
    January 1, 1988 in Common Stock, NYSE Stock Market Index (U.S. Companies) 
    and a Company constructed competitor group index.                         
(2) Fiscal year ending December 31.
(3) In accordance with the SEC's rules, the Company has elected to select a    
    group of peer companies on an industry basis for comparison purposes. The  
    competitor group is composed of eight industry participants: Atwood        
    Oceanics, Inc., Cliffs Drilling Company, Energy Service Company, Inc.      
    (ENSCO), Falcon Drilling Company, Inc., Global Marine Inc., Marine Drilling
    Companies, Inc., Reading & Bates Corporation and Rowan Companies, Inc.     
    Total return calculations were weighted according to the respective        
    company's market capitalization.                                           
                                                                               
                                                                               
                                                                               
                                                                               
                                                                               

                                       15
<PAGE>   18
                         PROPOSAL TO APPROVE AND RATIFY
                        AMENDED AND RESTATED OPTION PLAN

GENERAL

      The Option Plan was adopted by the Board of Directors of the Company in
1991 and approved by stockholders at the 1991 annual meeting of stockholders.
The Option Plan was amended with stockholder approval in 1994. At a meeting of
the Board of Directors in January 1997, the Board amended and restated the
Option Plan, subject to stockholder approval, to (i) increase by 5,500,000 the
aggregate number of shares of Common Stock available under the Option Plan;
(ii) extend the period of time during which Optionees may exercise their stock
options and stock appreciation rights ("SARs") after termination of employment
in certain cases; (iii) clarify provisions amended in 1994 to preserve for
federal income tax purposes the deductibility of compensation paid under the
Option Plan in the form of stock options and SARs; (iv) provide that Incentive
Options may be granted under the Option Plan until January 29, 2007; and (v)
update the Option Plan, in particular in regard to amendments in the SEC's
rules and regulations under Section 16 of the Exchange Act (collectively, the
"Plan Amendments").

      The purpose of the Option Plan is to assist the Company in attracting and
retaining as officers and key employees of the Company and its affiliates,
persons of training, experience and ability and to furnish additional incentive
to such persons by encouraging them to become owners of Common Stock. The Board
of Directors believes that the success of the Company is greatly dependent on
its ability to attract and retain individuals of outstanding ability who are
motivated to exert their best efforts on behalf of the Company and its
affiliates. The Board has found that the Company's stock option program has
been highly effective in achieving that goal and has concluded that the stock
option program should be continued. The Board of Directors has also concluded
that the number of shares currently available for the grant of stock options by
the Company under the Option Plan is inadequate to permit the continued use of
a long-term equity component in the Company's compensation program and that the
approval of the Option Plan as amended and restated is warranted. Based upon
the recommendation of Towers Perrin, the Board of Directors has approved the
Plan Amendment increasing the number of shares available under the Option Plan
by 5,500,000 shares in the aggregate (which represented 4.2 percent of the
Company's outstanding Common Stock as of March 12, 1997).

      A copy of the Option Plan as amended and restated, subject to stockholder
approval, is attached hereto as Exhibit A. Capitalized terms not otherwise
defined herein adopt the same meaning as assigned to them in the text of the
Option Plan.

THE PLAN AMENDMENTS

      Increase in Number of Shares Available Under the Option Plan. As of
January 31, 1997, there were outstanding Options covering 4,376,690 shares of
Common Stock and 423,161 shares of Common Stock outstanding as Restricted Stock
which is subject to forfeiture in whole or in part. Only 24,122 shares of
Common Stock remained available for future grant or award under the Option Plan
as of that date. If the Option Plan as amended and restated is approved and
ratified by stockholders, the employees of the Company and its affiliates
eligible to participate therein could receive more benefits under the Option
Plan than are currently available to them.

      Extension of Exercise Period. Prior to the Plan Amendments, the Option
Plan provided that an Optionee's right to exercise any stock option and SARs
would terminate three months after the termination of employment of the
Optionee unless such termination was a result of the Optionee's death or
disability. If the Optionee's termination of employment resulted from death or
disability, then such Optionee's exercise right would terminate one year after
the employment termination date.

      The Plan Amendments give an Optionee, or his or her estate, a longer
period of time after termination of employment in which to exercise a stock
option or SAR that was outstanding and vested on the date of termination of
employment; provided, that such period of time would not in any event extend
beyond the expiration of the term thereof.  Under the Plan Amendments, the
Optionee's right to exercise a stock option and SARs related thereto would be
extended to one year after termination of employment, unless such termination
of employment resulted from the Optionee's death, Disability or Retirement, in
which event the right to exercise would be extended to five years. Disability
is defined in the Option Plan as amended and restated to mean any termination
of employment





                                       16
<PAGE>   19
with the Company or an Affiliate because of a long-term disability, as
determined by the Committee in its sole discretion. Retirement is defined in
the Option Plan as amended and restated to mean a termination of employment
with the Company or an Affiliate either (i) on a voluntary basis by a person
who is at least 55 years of age and has at least five years of continuous
service with the Company or one or more Affiliates immediately prior to such
termination of employment or (ii) otherwise with the written consent of the
Committee in its sole discretion.

      The Plan Amendments provide further that employment shall not be deemed
to have ceased, for purposes of the Option Plan, by reason of the termination
of employment with the Company or an Affiliate, followed by a reemployment with
the Company or an Affiliate within six months of such initial termination,
provided such reemployment is approved for this purpose by the Committee in its
sole discretion, of (i) a person whose employment terminated initially in
December 1996 in connection with the sale by the Company and its Affiliates of
their land drilling assets to Nabors Industries, Inc.  and its affiliates and
(ii) any person not otherwise provided for in clause (i) immediately preceding.
The effectiveness of the amendment described in clause (i) in the preceding
sentence from and after its date of adoption by the Board is not subject to or
conditioned upon stockholder approval and ratification of the Plan Amendments.

      Subject to stockholder approval and ratification of the Plan Amendments,
(i) all stock options and SARs granted after receipt of such approval would
include the longer exercise periods and (ii) all stock option and SAR
agreements in existence at the time of such approval would be amended to
incorporate the longer exercise periods.

      Clarification of Grant Limitation During a Specified Period. Pursuant to
Section 162(m) of the Internal Revenue Code (the "Code"), the amount of
compensation payments to certain highly compensated officers of the Company
that is deductible from income for federal income tax purposes is limited to $1
million per person per year. Compensation recognized by employees in connection
with the exercise of stock options and SARs granted under the Option Plan may,
however, be exempt from the $1 million limitation as "qualified
performance-based compensation."

      The Option Plan was amended in 1994 with stockholder approval to
incorporate provisions necessary to qualify the compensation recognized by
employees in connection with the exercise of stock options and SARs granted
under the Option Plan as performance-based compensation, including, without
limitation, a provision stating the maximum number of shares for which stock
options or SARs could be granted during a specified period to any employee. The
Plan Amendments clarified that the maximum-number-of-shares limitation stated
in Section 4(a) of the Option Plan relates to Options granted, not exercised,
during the specified time period.

      Incentive Option Amendment. Prior to the Plan Amendments, the Option Plan
provided that no Incentive Options and related SARs could be granted after
January 31, 2001. The Plan Amendments change this date to January 29, 2007,
which is the date that is ten years after Board of Director approval of the
Plan Amendments.

      Updating Amendments. The Plan Amendments effect changes to Sections 7(c)
and 10 of the Option Plan to delete language no longer necessary or appropriate
as a result of amendments to Rule 16b-3 under the Exchange Act and a change to
Section 11(a) of the Option Plan to delete a reference to "guardian or legal
representative" as surplusage.

DESCRIPTION OF THE OPTION PLAN

      The material features of the Option Plan, without giving effect to the
Plan Amendments, are described below.

      General. Under the Option Plan, shares of Common Stock may be subject to
grants of Incentive Options, Nonqualified Options SARs or award of Restricted
Stock to officers and other employees of the Company and its affiliates.
Options and any SARs related thereto may be granted, and Restricted Stock may
be awarded, until the 5,200,000 shares of Common Stock available under the
Option Plan have been exhausted or the Option Plan has been terminated. Shares
of Common Stock covered by an Option that expires or terminates prior to
exercise and shares of Restricted Stock returned to the Company are again
available for grant of Options and awards of Restricted Stock. The Option Plan
contains antidilution provisions applicable in the event of increase or
decrease in the number of outstanding shares of Common Stock, effected without
receipt of consideration therefor by the Company, through a stock dividend or
any recapitalization or merger or otherwise in which the Company is the
surviving





                                       17
<PAGE>   20
corporation, resulting in a stock split-up, combination or exchange of shares
of the Company, in which event appropriate adjustments will be made in the
maximum number of shares subject to the Option Plan and the number of shares
and option prices under then outstanding Options.

      Administration. The Option Plan is administered by a committee (the
"Committee") of the Board of Directors of the Company. The Committee must
consist of two or more directors of the Company, all of whom must be
Non-Employee Directors as defined in Rule 16b-3 under the Exchange Act and
Outside Directors within the meaning of Section 162(m) of the Code and the
regulations promulgated thereunder. The Committee determines the grants of
Options and awards of Restricted Stock, the terms and provisions of the
respective agreements covering such grants or awards and all other decisions
concerning the Option Plan. It is impracticable to estimate the total number of
officers and employees eligible to participate in the Option Plan. The Option
Plan provides that the determination of the Committee is binding with respect
to all questions of interpretation and application of the Option Plan and of
Options granted or awards of Restricted Stock made thereunder, subject to the
express provisions of the Option Plan and except as set forth below under
"Stock Options and SARs" and "Amendment of the Option Plan."

      Stock Options and SARs. The Option Plan provides that, from time to time
during the term of the Option Plan, the Committee, in its sole discretion, may
grant Incentive Options, Nonqualified Options, Restricted Stock or any
combination thereof to any employee eligible under the Option Plan. Each person
who accepts an Option shall enter into an agreement with the Company whereupon
such person shall become a participant in the Option Plan in accordance with
the terms of such agreement.

      The Committee may from time to time grant SARs in conjunction with all or
any portion of an Option either at the time of the initial Option grant or,
with respect to a Nonqualified Option, at any time after the initial Option
grant while the Nonqualified Option is outstanding. SARs generally will be
subject to the same terms and conditions and exercisable to the same extent as
Options, as described above. SARs entitle an Optionee to receive without
payment to the Company (except for applicable withholding taxes) the excess of
the aggregate fair market value per share with respect to which the SAR is then
being exercised (determined as of the date of such exercise) over the aggregate
purchase price of such shares as provided in the related Option. Payment may be
made in shares of Common Stock or in cash, or a combination thereof, as
determined by the Committee.

      Option Price. The option price for each Share covered by an Incentive
Option shall not be less than the greater of (a) the par value of such Share or
(b) the Fair Market Value of such Share at the time such Option is granted. The
option price for each Share covered by a Nonqualified Option shall not be less
than the greater of (a) the par value of such Share or (b) 50 percent of the
Fair Market Value of such Share at the time the Option is granted. If the
Company agrees to substitute a new Option under the Option Plan for an old
Option, or to assume an old Option, as provided for in the Option Plan, the
option price of the Shares covered by each such new Option or assumed Option
may be otherwise determined by a formula; provided, however, in no event shall:
(a) the excess of the aggregate Fair Market Value of the Shares subject to the
Option immediately after the substitution or assumption over the aggregate
option price of such Shares be more than the excess of the aggregate Fair
Market Value of all Shares subject to the Option immediately prior to the
substitution or assumption over the aggregate option price of such Shares; (b)
in the case of an Incentive Option, the new Option or the assumption of the old
Option give the Optionee additional benefits that he would not have under the
old Option; or (c) the ratio of the option price to the Fair Market Value of
the stock subject to the Option immediately after the substitution or
assumption be more favorable to the Optionee than the ratio of the option price
to the Fair Market Value of the stock subject to the old Option immediately
prior to such substitution or assumption, on a Share by Share basis.
Notwithstanding the foregoing, the new option price in the case of an Incentive
Option shall be subject to the requirements of Section 424(a) of the Code and
the Treasury regulations and revenue rulings promulgated thereunder.

      Restricted Stock. The Option Plan provides that Restricted Stock may be
awarded by the Committee to such eligible recipients as it may determine from
time to time. The eligible recipients are those individuals who are eligible
for Option grants. Restricted Stock is Common Stock that may not be sold,
assigned, transferred, discounted, exchanged, pledged or otherwise encumbered
or disposed of until the restrictions, terms and conditions, including
forfeitures, if any, set by the Committee, which may include, among other
things, the achievement of specific goals, have been satisfied (the "Restricted
Period"). During the Restricted Period, unless specifically provided otherwise
in accordance with the terms of the Option Plan, the recipient of Restricted
Stock would be the





                                       18
<PAGE>   21
record owner of such shares and have all the rights of a stockholder with
respect to such shares, including the right to vote and the right to receive
dividends or other distributions made or paid with respect to such shares.

      The Option Plan provides that the Committee has the authority to cancel
all or any portion of any outstanding restrictions prior to the expiration of
the Restricted Period with respect to any and all of the shares of Restricted
Stock awarded to an individual on such terms and conditions as the Committee
may deem appropriate. If during the Restricted Period an individual's
continuous employment terminates for any reason, any Restricted Stock remaining
subject to restrictions will be forfeited by the individual and transferred at
no cost to the Company; provided, however, that as noted above, the Committee
has the authority to cancel any or all outstanding restrictions prior to the
end of the Restricted Period, including the cancellation of restrictions in
connection with certain types of termination of employment.

      Amendment of the Option Plan. The Board of Directors may at any time
amend, suspend or terminate the Option Plan; provided, however, the Board may
not, without approval of the stockholders of the Company, amend the Option Plan
so as to (i) increase the maximum number of shares subject thereto, or (ii)
reduce the option price per share covered by Options granted under the Option
Plan below the price specified in the Option Plan. Additionally, the Board may
not modify, impair or cancel any outstanding Option or SARs related thereto, or
the restrictions, terms or conditions applicable to Shares of Restricted Stock,
without the consent of the holder thereof.

UNITED STATES FEDERAL INCOME TAX CONSEQUENCES

      The following summary is based upon an analysis of the Code, existing
laws, judicial decisions, administrative rulings, regulations and proposed
regulations, all of which are subject to change. Moreover, the following is
only a summary of United States federal income tax consequences and such
consequences may be either more or less favorable than those described below
depending on a an employee's particular circumstances.

      Incentive Options. No income will be recognized by an Optionee for
federal income tax purposes upon the grant or exercise of an Incentive Option;
provided, however, that to the extent that an Incentive Option is exercised
more than three months (twelve months in the event of disability) from the date
of termination of employment for any reason other than death, such Incentive
Option will be taxed in the same manner described below for Nonqualified
Options (rather than in the manner described herein for an Incentive Option).
As described above, the Plan Amendments extend the periods of time for
exercise, after termination of employment, beyond those time periods that would
permit the Optionee to receive Incentive Option tax treatment. The basis of
shares transferred to an Optionee pursuant to the exercise of an Incentive
Option is the price paid for the shares. If the Optionee holds the shares for
at least one year after transfer of the shares to the Optionee and two years
after the grant of the Incentive Option, the Optionee will recognize capital
gain or loss upon sale of the shares received upon the exercise equal to the
difference between the amount realized on the sale and the basis of the stock.
Generally, if the shares are not held for that period, the Optionee will
recognize ordinary income upon disposition in an amount equal to the excess of
the fair market value of the shares on the date of exercise over the amount
paid for such shares, or if less (and if the disposition is a transaction in
which loss, if sustained, would be recognized), the gain on disposition. Any
additional gain or loss realized by the Optionee upon such disposition will be
a capital gain or loss.

      The excess of the fair market value of shares received upon the exercise
of an Incentive Option over the option price for the shares is an item of
adjustment for the Optionee for purposes of the alternative minimum tax.

      The Company is not entitled to a deduction upon the exercise of an
Incentive Option by an Optionee. If the Optionee disposes of the shares
received pursuant to such exercise prior to the expiration of one year
following transfer of the shares to the Optionee or two years after grant of
the option, however, the Company may, subject to the deduction limitations
described below, deduct an amount equal to the ordinary income recognized by
the Optionee upon disposition of the shares at the time such income is
recognized by the Optionee.

      If an Optionee uses already owned shares of Common Stock to pay the
exercise price for shares under an Incentive Option, the resulting tax
consequences will depend upon whether the already owned shares of Common Stock
are "statutory option stock", and, if so, whether such statutory option stock
has been held by the Optionee for the applicable holding period referred to in
Section 424(c)(3)(A) of the Code. In general, "statutory option stock" (as
defined in Section 424(c)(3)(B) of the Code) is any stock acquired through the
exercise of an Incentive





                                       19
<PAGE>   22
Option, a qualified stock option, an option granted pursuant to an employee
stock purchase plan or restricted stock option, but not stock acquired through
the exercise of a nonstatutory option. If the stock is statutory option stock
with respect to which the applicable holding period has been satisfied, no
income will be recognized by the Optionee upon the transfer of such stock in
payment of the exercise price of an Incentive Option. If the stock is not
statutory option stock, no income will be recognized by the Optionee upon the
transfer of the stock unless the stock is not substantially vested within the
meaning of the regulations under Section 83 of the Code (in which event it
appears that the Optionee will recognize ordinary income upon the transfer
equal to the amount by which the fair market value of the transferred shares
exceeds their basis). If the stock used to pay the exercise price of an
Incentive Option is statutory option stock with respect to which the applicable
holding period has not been satisfied, the transfer of such stock will be a
disqualifying disposition described in Section 421(b) of the Code which will
result in the recognition of ordinary income by the Optionee in an amount equal
to the excess of the fair market value of the statutory option stock at the
time the Incentive Option covering such stock was exercised over the amount
paid for such stock. Under the present provisions of the Code, it is not clear
whether all shares received upon the exercise of an Incentive Option with
already-owned shares will be statutory option stock or how the Optionee's basis
will be allocated among such shares.

      Nonqualified Options. No income will be recognized by an Optionee for
federal income tax purposes upon the grant of a Nonqualified Option. Upon
exercise of a Nonqualified Option, the Optionee will recognize ordinary income
in an amount equal to the excess of the fair market value of the shares on the
date of exercise over the amount paid for such shares. Income recognized upon
the exercise of Nonqualified Options will be considered compensation subject to
withholding at the time the income is recognized, and, therefore, the Company
must make the necessary arrangements with the Optionee to ensure that the
amount of the tax required to be withheld is available for payment.
Nonqualified Options are designed to provide the Company with a deduction equal
to the amount of ordinary income recognized by the Optionee at the time of such
recognition by the Optionee, subject to the deduction limitations described
below.

      The basis of shares transferred to an Optionee pursuant to exercise of a
Nonqualified Option is the price paid for such shares plus an amount equal to
any income recognized by the Optionee as a result of the exercise of the
option. If an Optionee thereafter sells shares acquired upon exercise of a
Nonqualified Option, any amount realized over the basis of the shares will
constitute capital gain to the Optionee for federal income tax purposes.

      If an Optionee uses already owned shares of Common Stock to pay the
exercise price for shares under a Nonqualified Option, the number of shares
received pursuant to the Nonqualified Option which is equal to the number of
shares delivered in payment of the exercise price will be considered received
in a nontaxable exchange, and the fair market value of the remaining shares
received by the Optionee upon the exercise will be taxable to the Optionee as
ordinary income. If the already owned shares of Common Stock are not "statutory
option stock" or are statutory option stock with respect to which the
applicable holding period referred to in Section 424(c)(3)(A) of the Code has
been satisfied, the shares received pursuant to the exercise of the
Nonqualified Option will not be statutory option stock and the Optionee's basis
in the number of shares received in exchange for the stock delivered in payment
of the exercise price will be equal to the basis of the shares delivered in
payment. The basis of the remaining shares received upon the exercise will be
equal to the fair market value of the shares. However, if the already owned
shares of Common Stock are statutory option stock with respect to which the
applicable holding period has not been satisfied, it is not presently clear
whether the exercise will be considered a disqualifying disposition of the
statutory option stock, whether the shares received upon such exercise will be
statutory option stock, or how the Optionee's basis will be allocated among the
shares received.

      SARs. There will be no federal income tax consequences to either the
recipient or the Company upon the grant of SARs. Generally, the recipient will
recognize ordinary income subject to withholding upon the exercise of SARs in
an amount equal to the amount of cash received and the fair market value of any
shares acquired pursuant to the exercise.  Subject to the deduction limitations
described below, the Company generally will be entitled to a corresponding tax
deduction equal to the amount includable in the recipient's income.

      Restricted Stock. If the restrictions on an award of Restricted Stock are
of a nature that such shares are both subject to a substantial risk of
forfeiture and are not freely transferable within the meaning of Section 83 of
the Code, the recipient will not recognize income for federal income tax
purposes at the time of the award unless such recipient affirmatively elects to
include the fair market value of the shares of restricted stock on the date of
the





                                       20
<PAGE>   23
award, less any amount paid therefor, in gross income for the year of the award
pursuant to Section 83(b) of the Code.  In the absence of such an election, the
recipient will be required to include in income for federal income tax purposes
in the year in which occurs the date the shares either become freely
transferable or are no longer subject to a substantial risk of forfeiture
within the meaning of Section 83 of the Code, the fair market value of the
shares of restricted stock on such date, less any amount paid therefor. The
Company will be entitled to a deduction at the time of income recognition to
the recipient in an amount equal to the amount the recipient is required to
include in income with respect to the shares, subject to the deduction
limitations described below. If a Section 83(b) election is made within 30 days
after the date the Restricted Stock is received, the recipient will recognize
ordinary income at the time of the receipt of the Restricted Stock and the
Company will be entitled to a corresponding deduction equal to the fair market
value (determined without regard to applicable restrictions) of the shares at
such time less the amount paid, if any, by the recipient for the Restricted
Stock. If a Section 83(b) election is made, no additional income will be
recognized by the recipient upon the lapse of restrictions on the Restricted
Stock, but, if the Restricted Stock is subsequently forfeited, no deduction
will be allowed to the recipient with respect to such forfeiture. Dividends
paid to a recipient holding restricted stock before the expiration of the
restriction period will be additional compensation taxable as ordinary income
to the recipient, unless the recipient made an election under Section 83(b).
Subject to the deduction limitations described below, the Company generally
will be entitled to a corresponding tax deduction equal to the dividends
includable in the recipient's income as compensation. If the recipient has made
a Section 83(b) election, the dividends will be dividend income, rather than
additional compensation, to the recipient.

      If the restrictions on an award of Restricted Stock are not of a nature
that such shares are both subject to a substantial risk of forfeiture and not
freely transferable, within the meaning of Section 83 of the Code, the
recipient will recognize ordinary income for federal income tax purposes at the
time of the award in an amount equal to the fair market value of the shares of
Restricted Stock on the date of the award, less any amount paid therefor. The
Company will be entitled to a deduction at such time in an amount equal to the
amount the recipient is required to include in income with respect to the
shares, subject to the deduction limitations described below.

      Limitations on the Company's Compensation Deduction. Section 162(m) of
the Code limits the deduction that the Company may take for otherwise
deductible compensation payable to certain officers of the Company to the
extent that compensation paid to any such officer for such year exceeds $1
million, unless such compensation is performance-based, is approved by the
Company's stockholders, and meets certain other criteria. Compensation
attributable to a stock option or SAR is deemed to satisfy the requirements for
performance-based compensation if (i) the grant or award is made by a
compensation committee composed of two or more outside directors; (ii) the plan
under which the option or right is granted states the maximum number of shares
with respect to which options or rights may be granted during a specified
period to any employee; and (iii) under the terms of the option or right, the
amount of compensation the employee could receive is based solely on an
increase in the value of the stock after the date of the grant or award. The
Option Plan as amended and restated has been designed to enable awards of
Options (other than Nonqualified Options granted at less than fair market value
on the date of grant) and SARs granted by the Committee to qualify as
performance-based compensation for purposes of Section 162(m) of the Code.

RECOMMENDATION AND REQUIRED AFFIRMATIVE VOTE

      The affirmative vote of the holders of record of a majority of shares of
Common Stock present in person or represented by proxy at the meeting and
entitled to vote thereon is required to approve the proposal to approve and
ratify the Option Plan as amended and restated. FOR THE REASONS STATED ABOVE,
THE BOARD OF DIRECTORS OF THE COMPANY UNANIMOUSLY RECOMMENDS THAT THE COMPANY'S
STOCKHOLDERS VOTE FOR THE PROPOSAL TO APPROVE AND RATIFY THE OPTION PLAN AS
AMENDED AND RESTATED.





                                       21
<PAGE>   24
            SECTION 16(a) BENEFICIAL OWNERSHIP REPORTING COMPLIANCE

      Section 16(a) of the Exchange Act requires directors and officers of the
Company, and persons who own more than 10 percent of the Common Stock, to file
with the SEC initial reports of ownership and reports of changes in ownership
of such stock. Directors, officers and beneficial owners of more than 10
percent of the Common Stock are required by SEC regulations to furnish the
Company with copies of all Section 16(a) forms they file.

      To the Company's knowledge, based solely on a review of the copies of
such reports furnished to the Company and written representations that no other
reports were required, during the year ended December 31, 1996, all Section
16(a) filing requirements applicable to its directors, officers, and beneficial
owners of more than ten percent of its Common Stock (or $1.50 Convertible
Preferred Stock of the Company which was outstanding during part of 1996) were
complied with.

                                    AUDITORS

      The Board of Directors has appointed Price Waterhouse LLP, which has
audited the Company's financial statements since October 7, 1994, to audit the
financial statements of the Company for the year ending December 31, 1997. Such
appointment will not be submitted to stockholders for ratification or approval.
Representatives of Price Waterhouse LLP are expected to be present at the
meeting to respond to appropriate questions from the stockholders and will be
given the opportunity to make a statement should they desire to do so.

                    STOCKHOLDER PROPOSALS AND OTHER MATTERS

      Stockholder proposals for inclusion in the Company's proxy materials in
connection with the 1998 annual meeting of stockholders, which is currently
scheduled to be held on April 23, 1998, must be received by the Company at its
office in Houston, Texas, addressed to the Secretary of the Company, no later
than November 28, 1997.

      The cost of solicitation of proxies will be borne by the Company. The
Company has employed Corporate Investor Communications, Inc. to solicit proxies
from brokers, bank nominees, institutional holders and individual holders for
use at the meeting at a fee not to exceed $7,000 plus certain expenses. In
addition, certain officers and employees of the Company, who will receive no
additional compensation for their services, may solicit proxies in person or by
mail, telephone, facsimile telecommunication or telegraph.

      The Board of Directors does not intend to present any other matter at the
meeting and knows of no other matters that will be presented. However, if any
other matter comes before the meeting, the persons named in the enclosed proxy
intend to vote thereon in accordance with their best judgment.

                                         NOBLE DRILLING CORPORATION

                                               James C. Day
                                           Chairman, President and
                                           Chief Executive Officer

Houston, Texas
March 28, 1997





                                       22
<PAGE>   25
                                                                       EXHIBIT A

                           NOBLE DRILLING CORPORATION

                  1991 STOCK OPTION AND RESTRICTED STOCK PLAN

                  AS AMENDED AND RESTATED ON JANUARY 30, 1997,
     SUBJECT TO THE APPROVAL OF STOCKHOLDERS EXCEPT FOR SECTION 9(a)(i)(x)

     [Language added to the Plan is in boldface type and double underscored
                    and language deleted is struck through.]

      SECTION 1.  PURPOSE

      The purpose of this Plan is to assist Noble Drilling Corporation, a
Delaware corporation, in attracting and retaining, as officers and key
employees of the Company and its Affiliates, persons of training, experience
and ability and to furnish additional incentive to such persons by encouraging
them to become owners of Shares of the Company's capital stock, by granting to
such persons Incentive Options, Nonqualified Options, Restricted Stock, or any
combination of the foregoing.

      SECTION 2.  DEFINITIONS

      Unless the context otherwise requires, the following words as used herein
shall have the following meanings:

            (a)  "Affiliate" means any corporation (other than the Company) in
      any unbroken chain of corporations (i) beginning with the Company if, at
      the time of the granting of the Option or award of Restricted Stock, each
      of the corporations other than the last corporation in the unbroken chain
      owns stock possessing 50 percent or more of the total combined voting
      power of all classes of stock in one of the other corporations in such
      chain, or (ii) ending with the Company if, at the time of the granting of
      the Option or award of Restricted Stock, each of the corporations, other
      than the Company, owns stock possessing 50 percent or more of the total
      combined voting power of all classes of stock in one of the other
      corporations in such chain.

            (b)  "Agreement" means the written agreement (i) between the
      Company and the Optionee evidencing the Option and any SARs that relate
      to such Option granted by the Company and the understanding of the
      parties with respect thereto or (ii) between the Company and a recipient
      of Restricted Stock evidencing the restrictions, terms and conditions
      applicable to such award of Restricted Stock and the understanding of the
      parties with respect thereto.

            (c)  "Board" means the Board of Directors of the Company as the
      same may be constituted from time to time.

            (d)  "Code" means the Internal Revenue Code of 1986, as amended.

            (e)  "Committee" means the Committee provided for in Section 3 of
      the Plan as the same may be constituted from time to time.

            (f)  "Company" means Noble Drilling Corporation, a Delaware
      corporation.

            (g)  "Corporate Transaction" shall have the meaning as defined in 
      Section 8 of the Plan.

            (h)  "DISABILITY" MEANS ANY TERMINATION OF EMPLOYMENT WITH THE 
      COMPANY OR AN AFFILIATE BECAUSE OF A LONG-TERM OR TOTAL DISABILITY, AS 
      DETERMINED BY THE COMMITTEE IN ITS SOLE DISCRETION.

            (i)  "Exchange Act" means the Securities Exchange Act of 1934, as 
      amended.

            (j)  "Fair Market Value" means the fair market value per Share as
      determined by the Committee in good faith; provided, however, that if a
      Share is listed or admitted to trading on a securities exchange
      registered under the Exchange





                                      A-1
<PAGE>   26
      Act, the Fair Market Value per Share shall be the average of the reported
      high and low sales price on the date in question (or if there was no
      reported sale on such date, on the last preceding date on which any
      reported sale occurred) on the principal securities exchange on which
      such Share is listed or admitted to trading, or if a Share is not listed
      or admitted to trading on any such exchange but is listed as a national
      market security on the National Association of Securities Dealers, Inc.
      Automated Quotations System ("NASDAQ") or any similar system then in use,
      the Fair Market Value per Share shall be the average of the reported high
      and low sales price on the date in question (or if there was no reported
      sale on such date, on the last preceding date on which any reported sale
      occurred) on such system, or if a Share is not listed or admitted to
      trading on any such exchange and is not listed as a national market
      security on NASDAQ but is quoted on NASDAQ or any similar system then in
      use, the Fair Market Value per Share shall be the average of the closing
      high bid and low asked quotations on such system for such Share on the
      date in question.  For purposes of valuing Shares to be made subject to
      Incentive Options, the Fair Market Value per Share shall be determined
      without regard to any restriction other than one which, by its terms,
      will never lapse.

            (k)  "Incentive Option" means an Option that is intended to satisfy
      the requirements of Section 422(b) of the Code and Section 17 of the
      Plan.

            (L)  "NON-EMPLOYEE DIRECTOR" MEANS A DIRECTOR OF THE COMPANY WHO
      SATISFIES THE DEFINITION THEREOF UNDER RULE 16b-3 PROMULGATED UNDER THE
      EXCHANGE ACT.

            (M)     "Nonqualified Option" means an Option that does not
      qualify as a statutory stock option under Section 422 or 423 of the Code.

            (N)     "Option" means an option to purchase one or more Shares
      granted under and pursuant to the Plan.  Such Option may be either an
      Incentive Option or a Nonqualified Option.

            (O)     "Optionee" means a person who has been granted an Option
      and who has executed an Agreement with the Company.

            (P)     "Outside Director" means a director of the Company who
      is an outside director within the meaning of Section 162(m) of the Code
      and the regulations promulgated thereunder.

            (Q)     "Plan" means this Noble Drilling Corporation 1991 Stock
      Option and Restricted Stock Plan, as amended.

            (R)     "Restricted Stock" means Shares issued or transferred
      pursuant to Section 20 of the Plan.

            (S)  "RETIREMENT" MEANS A TERMINATION OF EMPLOYMENT WITH THE
      COMPANY OR AN AFFILIATE EITHER (i) ON A VOLUNTARY BASIS BY A PERSON WHO
      IS AT LEAST 55 YEARS OF AGE AND HAS AT LEAST FIVE YEARS OF CONTINUOUS
      SERVICE WITH THE COMPANY OR ONE OR MORE AFFILIATES IMMEDIATELY PRIOR TO
      SUCH TERMINATION OF EMPLOYMENT OR (ii) OTHERWISE WITH THE WRITTEN CONSENT
      OF THE COMMITTEE IN ITS SOLE DISCRETION.

            (T)     "SARs" means stock appreciation rights granted pursuant
      to Section 7 of the Plan.

            (U)     "Securities Act" means the Securities Act of 1933, as
      amended.

            (V)     "Share" means a share of the Company's present common
      stock, par value $.10 per share, and any share or shares of capital stock
      or other securities of the Company hereafter issued or issuable in
      respect of or in substitution or exchange for each such present share.
      Such Shares may be unissued or reacquired Shares, as the Board, in its
      sole and absolute discretion, shall from time to time determine.


      SECTION 3.  ADMINISTRATION

      The Plan shall be administered by, and the decisions concerning the Plan
shall be made solely by, a Committee of two or more directors of the Company,
all of whom are (a) NON-EMPLOYEE DIRECTORS and (b) beginning





                                      A-2
<PAGE>   27
immediately after the first meeting of stockholders of the Company at which
directors are to be elected that occurs after December 31, 1994, Outside
Directors.  Each member of the Committee shall be appointed by and shall serve
at the pleasure of the Board.  The Board shall have the sole continuing
authority to appoint members of the Committee.  In making grants or awards, the
Committee shall take into consideration the contribution the person has made or
may make to the success of the Company or its Affiliates and such other
considerations as the Board may from time to time specify.

      The Committee shall elect one of its members as its chairman and shall
hold its meetings at such times and places as it may determine.  A majority of
the members of the Committee shall constitute a quorum.  All decisions and
determinations of the Committee shall be made by the majority vote or decision
of the members present at any meeting at which a quorum is present; provided,
however, that any decision or determination reduced to writing and signed by
all members of the Committee shall be as fully effective as if it had been made
by a majority vote or decision at a meeting duly called and held.  The
Committee may appoint a secretary (who need not be a member of the Committee)
who shall keep minutes of its meetings.  The Committee may make any rules and
regulations for the conduct of its business that are not inconsistent with the
express provisions of the Plan, the bylaws or certificate of incorporation of
the Company or any resolutions of the Board.

      All questions of interpretation or application of the Plan, or of a grant
of an Option and any SARs that relate to such Option or an award of Restricted
Stock, including questions of interpretation or application of an Agreement,
shall be subject to the determination of the Committee, which determination
shall be final and binding upon all parties.

      Subject to the express provisions of the Plan, the Committee shall have
the authority, in its sole and absolute discretion, (a) to adopt, amend or
rescind administrative and interpretive rules and regulations relating to the
Plan; (b) to construe the Plan; (c) to make all other determinations necessary
or advisable for administering the Plan; (d) to determine the terms and
provisions of the respective Agreements (which need not be identical),
including provisions defining or otherwise relating to (i) the term and the
period or periods and extent of exercisability of the Options, (ii) the extent
to which the transferability of Shares issued upon exercise of Options or any
SARs that relate to such Options is restricted, (iii) the effect of termination
of employment upon the exercisability of the Options, and (iv) the effect of
approved leaves of absence (consistent with any applicable regulations of the
Internal Revenue Service) upon the exercisability of such Options; (e) subject
to Sections 9 and 11 of the Plan, to accelerate, for any reason, regardless of
whether the Agreement so provides, the time of exercisability of any Option and
any SARs that relate to such Option that have been granted or the time of the
lapsing of restrictions on Restricted Stock; (f) to construe the respective
Agreements; and (g) to exercise the powers conferred on the Committee under the
Plan.  The Board may correct any defect or supply any omission or reconcile any
inconsistency in the Plan in the manner and to the extent it shall deem
expedient to carry it into effect, and it shall be the sole and final judge of
such expediency.  The determinations of the Committee or Board, as the case may
be, on the matters referred to in this Section 3 shall be final and conclusive.


      SECTION 4.  SHARES SUBJECT TO THE PLAN

            (a)  The total number of Shares that may be purchased pursuant to
      Options, issued or transferred pursuant to the exercise of SARs or
      awarded as Restricted Stock shall not exceed 10,700,000 in the aggregate,
      and the total number of shares FOR WHICH OPTIONS AND SARS may be GRANTED,
      AND WHICH MAY BE awarded as Restricted Stock, to any one person during
      any continuous five-year period shall not exceed 1,500,000 in the
      aggregate; provided that each such maximum number of shares shall be
      increased or decreased as provided in Section 13 of the Plan.

            (b)  At any time and from time to time after the Plan takes effect,
      the Committee, pursuant to the provisions herein set forth, may grant
      Options and any SARs that relate to such Options and award Restricted
      Stock until the maximum number of Shares shall be exhausted or the Plan
      shall be sooner terminated; provided, however, that no Incentive Option
      and any SARs that relate to such Option shall be granted after January
      29, 2007.

            (c)  Shares subject to an Option that expires or terminates prior
      to exercise and Shares that had been previously awarded as Restricted
      Stock that have since been forfeited shall be available for further grant
      of Options or award as Restricted Stock.  No Option shall be granted and
      no Restricted Stock shall be awarded if the number of Shares for which
      Options have been granted and which pursuant to this Section are not
      again available for Option grant, plus the





                                      A-3
<PAGE>   28
      number of Shares that have been awarded as Restricted Stock, would, if
      such Option were granted or such Restricted Stock were awarded, exceed
      10,700,000.

            (d)  Any Shares withheld pursuant to Section 19(c) of the Plan
      shall not be available after such withholding for being optioned or
      awarded pursuant to the provisions hereof.

            (e) Unless the Shares awarded as Restricted Stock are Shares that
      have been reacquired by the Company as treasury shares, Restricted Stock
      shall be awarded only for services actually rendered, as determined by
      the Committee.


      SECTION 5.  ELIGIBILITY

      The persons who shall be eligible to receive grants of Options and any
SARs that relate to such Options, and to receive awards of Restricted Stock,
shall be regular salaried officers or other employees of the Company or one or
more of its Affiliates.


      SECTION 6.  GRANT OF OPTIONS

            (a)  From time to time while the Plan is in effect, the Committee
      may, in its sole and absolute discretion, select from among the persons
      eligible to receive a grant of Options under the Plan (including persons
      who have already received such grants of Options) such one or more of
      them as in the opinion of the Committee should be granted Options.  The
      Committee shall thereupon, likewise in its sole and absolute discretion,
      determine the number of Shares to be allotted for option to each person
      so selected.

            (b)  Each person so selected shall be offered an Option to purchase
      the number of Shares so allotted to him, upon such terms and conditions,
      consistent with the provisions of the Plan, as the Committee may specify.
      Each such person shall have a reasonable period of time, to be fixed by
      the Committee, within which to accept or reject the proffered Option.
      Failure to accept within the period so fixed may be treated as a
      rejection.

            (c)  Each person who accepts an Option offered to him shall enter
      into an Agreement with the Company, in such form as the Committee may
      prescribe, setting forth the terms and conditions of the Option,
      whereupon such person shall become a participant in the Plan.  In the
      event a person is granted both one or more Incentive Options and one or
      more Nonqualified Options, such grants shall be evidenced by separate
      Agreements, one for each Incentive Option grant and one for each
      Nonqualified Option grant.  The date on which the Committee completes all
      action constituting an offer of an Option to a person, including the
      specification of the number of Shares to be subject to the Option, shall
      constitute the date on which the Option covered by such Agreement is
      granted.  In no event, however, shall an Optionee gain any rights in
      addition to those specified by the Committee in its grant, regardless of
      the time that may pass between the grant of the Option and the actual
      signing of the Agreement by the Company and the Optionee.

            (d)  Each Agreement that includes SARs in addition to an Option
      shall comply with the provisions of Section 7 of the Plan.


      SECTION 7.  GRANT OF SARS

      The Committee may from time to time grant SARs in conjunction with all or
any portion of any Option either (i) at the time of the initial Option grant
(not including any subsequent modification that may be treated as a new grant
of an Incentive Option for purposes of Section 424(h) of the Code) or (ii) with
respect to Nonqualified Options, at any time after the initial Option grant
while the Nonqualified Option is still outstanding.  SARs shall not be granted
other than in conjunction with an Option granted hereunder.

      SARs granted hereunder shall comply with the following conditions and
also with the terms of the Agreement governing the Option in conjunction with
which they are granted:





                                      A-4
<PAGE>   29
            (a)  The SAR shall expire no later than the expiration of the 
      underlying Option.

            (b)  Upon the exercise of an SAR, the Optionee shall be entitled to
      receive payment equal to the excess of the aggregate Fair Market Value of
      the Shares with respect to which the SAR is then being exercised
      (determined as of the date of such exercise) over the aggregate purchase
      price of such Shares as provided in the related Option.  Payment may be
      made in Shares, valued at their Fair Market Value on the date of
      exercise, or in cash, or partly in Shares and partly in cash, as
      determined by the Committee in its sole and absolute discretion.

            (c)  SARs shall be exercisable (i) only at such time or times and
      only to the extent that the Option to which they relate shall be
      exercisable, (II) only when the Fair Market Value of the Shares
      subject to the related Option exceeds the purchase price of the Shares as
      provided in the related Option, and (III) only upon surrender of the
      related Option or any portion thereof with respect to the Shares for
      which the SARs are then being exercised.

            (d)  Upon exercise of an SAR, a corresponding number of Shares
      subject to option under the related Option shall be canceled.  Such
      canceled Shares shall be charged against the Shares reserved for the
      Plan, as provided in Section 4 of the Plan, as if the Option had been
      exercised to such extent and shall not be available for future Option
      grants or Restricted Stock awards hereunder.


      SECTION 8.  OPTION PRICE

      The option price for each Share covered by an Incentive Option shall not
be less than the greater of (a) the par value of such Share or (b) the Fair
Market Value of such Share at the time such Option is granted.  The option
price for each Share covered by a Nonqualified Option shall not be less than
the greater of (a) the par value of such Share or (b) 50 percent of the Fair
Market Value of such Share at the time the Option is granted.  Notwithstanding
the two immediately preceding sentences, if the Company or an Affiliate agrees
to substitute a new Option under the Plan for an old Option, or to assume an
old Option, by reason of a corporate merger, consolidation, acquisition of
property or stock, separation, reorganization, or liquidation (any of such
events being referred to herein as a "Corporate Transaction"), the option price
of the Shares covered by each such new Option or assumed Option may be other
than the Fair Market Value of the Shares at the time the Option is granted as
determined by reference to a formula, established at the time of the Corporate
Transaction, which will give effect to such substitution or assumption;
provided, however, in no event shall:

            (a)  the excess of the aggregate Fair Market Value of the Shares
      subject to the Option immediately after the substitution or assumption
      over the aggregate option price of such Shares be more than the excess of
      the aggregate Fair Market Value of all Shares subject to the Option
      immediately prior to the substitution or assumption over the aggregate
      option price of such Shares;

            (b)  in the case of an Incentive Option, the new Option or the
      assumption of the old Option give the Optionee additional benefits that
      he would not have under the old Option; or

            (c)  the ratio of the option price to the Fair Market Value of the
      stock subject to the Option immediately after the substitution or
      assumption be more favorable to the Optionee than the ratio of the option
      price to the Fair Market Value of the stock subject to the old Option
      immediately prior to such substitution or assumption, on a Share by Share
      basis.

Notwithstanding the above, the provisions of this Section 8 with respect to the
option price in the event of a Corporate Transaction shall, in the case of an
Incentive Option, be subject to the requirements of Section 424(a) of the Code
and the Treasury regulations and revenue rulings promulgated thereunder.  In
the case of an Incentive Option, in the event of a conflict between the terms
of this Section 8 and the above cited statute, regulations and rulings, or in
the event of an omission in this Section 8 of a provision required by said
laws, the latter shall control in all respects and are hereby incorporated
herein by reference as if set out at length.





                                      A-5
<PAGE>   30
      SECTION 9.  OPTION PERIOD AND TERMS OF EXERCISE

            (a)  Each Option shall be exercisable during such period of time as
      the Committee may specify, but in no event for longer than 10 years from
      the date when the Option is granted; provided, however, that

                 (i)   All rights to exercise an Option and any SARs that
            relate to such Option shall, subject to the provisions of subsection
            (c) of this Section 9, terminate SIX months after the date the
            Optionee ceases to be employed by at least one of the employers in
            the group of employers consisting of the Company and its Affiliates,
            for any reason other than death, DISABILITY OR RETIREMENT, except
            that, in the event of the termination of employment of the Optionee
            on account of fraud, dishonesty or other acts detrimental to the
            interests of the Company or one or more of its Affiliates, the
            Option and any SARs that relate to such Option shall thereafter be
            null and void for all purposes.  Employment shall not be deemed to
            have ceased by reason of the transfer of employment, without
            interruption of service, between or among the Company and any of its
            Affiliates. IN ADDITION, FOR PURPOSES OF THIS PLAN, EMPLOYMENT SHALL
            NOT BE DEEMED TO HAVE CEASED BY REASON OF THE TERMINATION OF
            EMPLOYMENT WITH THE COMPANY OR AN AFFILIATE, FOLLOWED BY A
            REEMPLOYMENT WITH THE COMPANY OR AN AFFILIATE WITHIN SIX MONTHS OF
            SUCH INITIAL TERMINATION, PROVIDED SUCH REEMPLOYMENT IS APPROVED FOR
            PURPOSES OF THIS SECTION 9(a)(i) BY THE COMMITTEE IN ITS SOLE
            DISCRETION, OF (x) A PERSON WHOSE EMPLOYMENT TERMINATED INITIALLY IN
            DECEMBER 1996 IN CONNECTION WITH THE SALE BY THE COMPANY AND ITS
            AFFILIATES OF THEIR LAND DRILLING ASSETS TO NABORS INDUSTRIES, INC.
            AND ITS AFFILIATES AND (y) ANY PERSON NOT OTHERWISE PROVIDED FOR IN
            CLAUSE (x) IMMEDIATELY PRECEDING.

                 (ii)  If the Optionee ceases to be employed by at least one of
            the employers in the group of employers consisting of the Company
            and its Affiliates, by reason of his death, DISABILITY OR
            RETIREMENT, all rights to exercise such Option and any SARs that
            relate to such Option shall, subject to the provisions of
            subsection (c) of this Section 9, terminate FIVE YEARS thereafter.

            (b)  If an Option is granted with a term shorter than 10 years, the
      Committee may extend the term of the Option and any SARs that relate to
      such Option, but for not more than 10 years from the date when the Option
      was originally granted.

            (c)  In no event may an Option or any SARs that relate to such
      Option be exercised after the expiration of the term thereof.


      SECTION 10.  OPTIONS AND SARS NOT TRANSFERABLE

      No Option or any SARs that relate to such Option shall be transferable by
the Optionee otherwise than by will or the applicable laws of descent and
distribution. 

      SECTION 11.  EXERCISE OF OPTIONS AND SARS

            (a)  During the lifetime of an Optionee, only such Optionee 
      may exercise an Option or any SARs that relate to such Option granted to
      him.  In the event of his death, any then exercisable portion of his
      Option and any SARs that relate to such Option may, within THREE YEARS
      thereafter, or earlier date of termination of the Option, be exercised in
      whole or in part by the duly authorized representative of the deceased
      Optionee's estate.

            (b)  At any time, and from time to time, during the period when any
      Option and any SARs that relate to such Option, or a portion thereof, are
      exercisable, such Option or SARs, or portion thereof, may be exercised in
      whole or in part; provided, however, that the Committee may require any
      Option or SAR that is partially exercised to be so exercised with respect
      to at least a stated minimum number of Shares.





                                      A-6
<PAGE>   31
            (c)  Each exercise of an Option, or a portion thereof, shall be
      evidenced by a notice in writing to the Company accompanied by payment in
      full of the option price of the Shares then being purchased.  Payment in
      full shall mean payment of the full amount due, either in cash, by
      certified check or cashier's check, or, with the consent of the
      Committee, with Shares owned by the Optionee, including an actual or
      deemed multiple series of exchanges of such Shares.

            Notwithstanding anything contained herein to the contrary, at the
      request of an Optionee and to the extent permitted by applicable law, the
      Committee may, in its sole and absolute discretion, selectively approve
      arrangements with a brokerage firm or firms under which any such
      brokerage firm shall, on behalf of the Optionee, make payment in full to
      the Company of the option price of the Shares then being purchased, and
      the Company, pursuant to an irrevocable notice in writing from the
      Optionee, shall make prompt delivery of one or more certificates for the
      appropriate number of Shares to such brokerage firm.  Payment in full for
      purposes of the immediately preceding sentence shall mean payment of the
      full amount due, either in cash or by certified check or cashier's check.

            (d)  Each exercise of SARs, or a portion thereof, shall be
      evidenced by a notice in writing to the Company.

            (e)  No Shares shall be issued upon exercise of an Option until
      full payment therefor has been made, and an Optionee shall have none of
      the rights of a stockholder until Shares are issued to him.

            (f)  Nothing herein or in any Agreement shall require the Company
      to issue any Shares upon exercise of an Option or SAR if such issuance
      would, in the opinion of counsel for the Company, constitute a violation
      of the Securities Act or any similar or superseding statute or statutes,
      or any other applicable statute or regulation, as then in effect.  Upon
      the exercise of an Option or SAR (as a result of which the Optionee
      receives Shares), or portion thereof, the Optionee shall give to the
      Company satisfactory evidence that he is acquiring such Shares for the
      purposes of investment only and not with a view to their distribution;
      provided, however, if or to the extent that the Shares delivered to the
      Optionee shall be included in a registration statement filed by the
      Company under the Securities Act, such investment representation shall be
      abrogated.


      SECTION 12.  DELIVERY OF STOCK CERTIFICATES

      As promptly as may be practicable after an Option or SAR (as a result of
the exercise of which the Optionee receives Shares), or a portion thereof, has
been exercised as hereinabove provided, the Company shall make delivery of one
or more certificates for the appropriate number of Shares.  In the event that
an Optionee exercises both (i) an Incentive Option or SARs that relate to such
Option (as a result of which the Optionee receives Shares), or a portion
thereof, and (ii) a Nonqualified Option or SARs that relate to such Option (as
a result of which the Optionee receives Shares), or a portion thereof, separate
stock certificates shall be issued, one for the Shares subject to the Incentive
Option and one for the Shares subject to the Nonqualified Option.


     SECTION 13.  CHANGES IN COMPANY'S SHARES AND CERTAIN CORPORATE TRANSACTIONS

      If at any time while the Plan is in effect there shall be any increase or
decrease in the number of issued and outstanding Shares of the Company effected
without receipt of consideration therefor by the Company, through the
declaration of a stock dividend or through any recapitalization or merger or
otherwise in which the Company is the surviving corporation, resulting in a
stock split-up, combination or exchange of Shares of the Company, then and in
each such event:

            (a)  An appropriate adjustment shall be made in the maximum number
      of Shares then subject to being optioned or awarded as Restricted Stock
      under the Plan, to the end that the same proportion of the Company's
      issued and outstanding Shares shall continue to be subject to being so
      optioned and awarded;

            (b)  Appropriate adjustment shall be made in the number of Shares
      and the option price per Share thereof then subject to purchase pursuant
      to each Option previously granted and then outstanding, to the end that
      the same proportion of the Company's issued and outstanding Shares in
      each such instance shall remain subject to purchase at the same aggregate
      option price; and





                                      A-7
<PAGE>   32
            (c)  In the case of Incentive Options, any such adjustments shall
      in all respects satisfy the requirements of Section 424(a) of the Code
      and the Treasury regulations and revenue rulings promulgated thereunder.

      Except as is otherwise expressly provided herein, the issue by the
Company of shares of its capital stock of any class, or securities convertible
into shares of capital stock of any class, either in connection with a direct
sale or upon the exercise of rights or warrants to subscribe therefor, or upon
conversion of shares or obligations of the Company convertible into such shares
or other securities, shall not affect, and no adjustment by reason thereof
shall be made with respect to, the number of or option price of Shares then
subject to outstanding Options granted under the Plan.  Furthermore, the
presence of outstanding Options granted under the Plan shall not affect in any
manner the right or power of the Company to make, authorize or consummate (i)
any or all adjustments, recapitalizations, reorganizations or other changes in
the Company's capital structure or its business; (ii) any merger or
consolidation of the Company; (iii) any issue by the Company of debt securities
or preferred stock that would rank above the Shares subject to outstanding
Options granted under the Plan; (iv) the dissolution or liquidation of the
Company; (v) any sale, transfer or assignment of all or any part of the assets
or business of the Company; or (vi) any other corporate act or proceeding,
whether of a similar character or otherwise.


      SECTION 14.  EFFECTIVE DATE

        The Plan WAS ORIGINALLY ADOPTED BY THE BOARD on January 31, 1991, AND
APPROVED BY the stockholders of the Company ON APRIL 25, 1991.  THE PLAN AS
AMENDED AND RESTATED ON JANUARY 30, 1997 SHALL BE EFFECTIVE AS OF THAT DATE, THE
DATE OF THE ADOPTION THEREOF BY THE BOARD, BUT SHALL BE SUBMITTED TO the
stockholders of the Company FOR APPROVAL AND RATIFICATION AT THE NEXT REGULAR OR
SPECIAL MEETING THEREOF TO BE HELD AFTER DECEMBER 31, 1996.  IF AT SUCH A
MEETING OF THE STOCKHOLDERS OF THE COMPANY a quorum is present, the Plan AS
AMENDED AND RESTATED shall be presented for approval and ratification, and
unless at such a meeting the Plan AS AMENDED AND RESTATED is approved and
ratified by the affirmative vote of a majority of the outstanding shares of
common stock, par value $.10 per share, of the Company present in person or by
proxy and entitled to vote, then, and in such event, the AMENDMENTS TO THE PLAN
ADOPTED BY THE BOARD ON JANUARY 30, 1997 (EXCEPT FOR THE AMENDMENT SET FORTH IN
SECTION 9(A)(I)(X) WHICH SHALL, NOTWITHSTANDING ANYTHING HEREIN CONTAINED TO THE
CONTRARY, BE EFFECTIVE FROM AND AFTER THE DATE OF ITS ADOPTION BY THE BOARD) AND
ANY then outstanding Options and any SARs that relate to such Options THAT MAY
HAVE BEEN CONDITIONALLY GRANTED PRIOR TO SUCH STOCKHOLDER MEETING DEPENDENT UPON
AN INCREASE IN THE NUMBER OF SHARES SUBJECT TO THE PLAN shall become null and
void and of no further force or effect.  No award of Restricted Stock DEPENDENT
UPON AN INCREASE IN THE NUMBER OF SHARES SUBJECT TO THE PLAN shall be made prior
to the approval and ratification of the Plan AS AMENDED AND RESTATED by
stockholders in accordance with this Section 14.


      SECTION 15.  AMENDMENT, SUSPENSION OR TERMINATION

      The Board may at any time amend, suspend or terminate the Plan; provided,
however, that after the stockholders have approved and ratified the Plan in
accordance with Section 14 of the Plan, the Board may not, without approval of
the stockholders of the Company, amend the Plan so as to (a) increase the
maximum number of Shares subject thereto, as specified in Sections 4(a) and 13
of the Plan, or (b) reduce the option price for Shares covered by Options
granted hereunder below the price specified in Section 8 of the Plan; and
provided further, that the Board may not modify, impair or cancel any
outstanding Option or SAR that relates to such Option, or the restrictions,
terms or conditions applicable to Shares of Restricted Stock, without the
consent of the holder thereof.

      SECTION 16.  REQUIREMENTS OF LAW

      Notwithstanding anything contained herein or in any Agreement to the
contrary, the Company shall not be required to sell or issue Shares under any
Option or SAR if the issuance thereof would constitute a violation by the
Optionee or the Company of any provision of any law or regulation of any
governmental authority or any national securities exchange; and as a condition
of any sale or issuance of Shares upon exercise of an Option or SAR, the
Company may require such





                                      A-8
<PAGE>   33
agreements or undertakings, if any, as the Company may deem necessary or
advisable to assure compliance with any such law or regulation.


      SECTION 17.  INCENTIVE OPTIONS

      The Committee may, in its sole and absolute discretion, designate any
Option granted under the Plan as an Incentive Option intended to qualify under
Section 422(b) of the Code.  Any provision of the Plan to the contrary
notwithstanding, (a) no Incentive Option shall be granted to any person who, at
the time such Incentive Option is granted, owns stock possessing more than 10
percent of the total combined voting power of all classes of stock of the
Company or any Affiliate unless the option price under such Incentive Option is
at least 110 percent of the Fair Market Value of the Shares subject to the
Incentive Option at the date of its grant and such Incentive Option is not
exercisable after the expiration of five years from the date of its grant; and
(b) the aggregate Fair Market Value of the Shares subject to an Incentive
Option and the aggregate Fair Market Value of the shares of stock of the
Company or any Affiliate (or a predecessor corporation of the Company or an
Affiliate) subject to any other incentive stock option (within the meaning of
Section 422(b) of the Code) of the Company and its Affiliates (or a predecessor
corporation of any such corporation), that may become first exercisable in any
calendar year, shall not (with respect to any Optionee) exceed $100,000,
determined as of the date the Incentive Option is granted.


      SECTION 18.  MODIFICATION OF OPTIONS AND SARS

      Subject to the terms and conditions of and within the limitations of the
Plan, the Committee may modify, extend or renew outstanding Options and any
SARs that relate to such Options granted under the Plan, or accept the
surrender of Options and any SARs that relate to such Options outstanding
hereunder (to the extent not theretofore exercised) and authorize the granting
of new Options and any SARs that relate to such new Options hereunder in
substitution therefor (to the extent not theretofore exercised).
Notwithstanding the foregoing provisions of this Section 18, no modification of
an Option and any SARs that relate to such Option granted hereunder shall,
without the consent of the Optionee, alter or impair any rights or obligations
under any Option and any SARs that relate to such Option theretofore granted
hereunder to such Optionee, except as may be necessary, with respect to
Incentive Options, to satisfy the requirements of Section 422(b) of the Code.


      SECTION 19.  AGREEMENT PROVISIONS

            (a)  Each Agreement shall contain such provisions (including,
      without limitation, restrictions or the removal of restrictions upon the
      exercise of the Option and any SARs that relate to such Option and the
      transfer of shares thereby acquired) as the Committee shall deem
      advisable.  Each Agreement relating to an Option shall identify the
      Option evidenced thereby as an Incentive Option or Nonqualified Option,
      as the case may be.  Incentive Options and Nonqualified Options may not
      both be covered by a single Agreement.  Each such Agreement relating to
      Incentive Options shall contain such limitations and restrictions upon
      the exercise of the Incentive Option as shall be necessary for the
      Incentive Option to which such Agreement relates to constitute an
      incentive stock option, as defined in Section 422(b) of the Code.

            (b)  Each Agreement shall recite that it is subject to the Plan and
      that the Plan shall govern where there is any inconsistency between the
      Plan and the Agreement.

            (c)  Each Agreement shall contain a covenant by the Optionee, in
      such form as the Committee may require in its discretion, that he
      consents to and will take whatever affirmative actions are required, in
      the opinion of the Committee, to enable the Company or appropriate
      Affiliate to satisfy its Federal income tax and FICA and any applicable
      state and local withholding obligations.  An Agreement may contain such
      provisions as the Committee deems appropriate to enable the Company or
      its Affiliates to satisfy such withholding obligations, including
      provisions permitting the Company, upon the exercise of an Option or SAR
      (as a result of which the Optionee receives Shares), to withhold Shares
      otherwise issuable to the Optionee exercising the Option or SAR, or to
      accept delivery of Shares owned by the Optionee, to satisfy the
      applicable withholding obligations.





                                      A-9
<PAGE>   34
            (d)  Each Agreement relating to an Incentive Option shall contain a
      covenant by the Optionee immediately to notify the Company in writing of
      any disqualifying disposition (within the meaning of Section 421(b) of
      the Code) of Shares received upon the exercise of an Incentive Option.


      SECTION 20.  RESTRICTED STOCK

            (a)  Subject to the provisions of Section 14 of the Plan, the
      Committee may from time to time, in its sole and absolute discretion,
      award Shares of Restricted Stock to such persons as it shall select from
      among those persons who are eligible under Section 5 of the Plan to
      receive awards of Restricted Stock.  Any award of Restricted Stock shall
      be made from Shares subject hereto as provided in Section 4 of the Plan.

            (b)  A Share of Restricted Stock shall be subject to such
      restrictions, terms and conditions, including forfeitures, if any, as may
      be determined by the Committee, which may include, without limitation,
      the rendition of services to the Company or its Affiliates for a
      specified time or the achievement of specific goals, and to the further
      restriction that no such Share may be sold, assigned, transferred,
      discounted, exchanged, pledged or otherwise encumbered or disposed of
      until the terms and conditions set by the Committee at the time of the
      award of the Restricted Stock have been satisfied.  Each recipient of an
      award of Restricted Stock shall enter into an Agreement with the Company,
      in such form as the Committee shall prescribe, setting forth the
      restrictions, terms and  conditions of such award, whereupon such
      recipient shall become a participant in the Plan.

            If a person is awarded Shares of Restricted Stock, whether or not
      escrowed as provided below, the person shall be the record owner of such
      Shares and shall have all the rights of a stockholder with respect to
      such Shares (unless the escrow agreement, if any, specifically provides
      otherwise), including the right to vote and the right to receive
      dividends or other distributions made or paid with respect to such
      Shares.  Any certificate or certificates representing Shares of
      Restricted Stock shall bear a legend similar to the following:

                 The shares represented by this certificate have been issued
            pursuant to the terms of the Noble Drilling Corporation 1991 Stock
            Option and Restricted Stock Plan and may not be sold, assigned,
            transferred, discounted, exchanged, pledged or otherwise encumbered
            or disposed of in any manner except as set forth in the terms of
            the agreement embodying the award of such shares dated          ,
            19  .

            In order to enforce the restrictions, terms and conditions that may
      be applicable to a person's Shares of Restricted Stock, the Committee may
      require the person, upon the receipt of a certificate or certificates
      representing such Shares, or at any time thereafter, to deposit such
      certificate or certificates, together with stock powers and other
      instruments of transfer, appropriately endorsed in blank, with the
      Company or an escrow agent designated by the Company under an escrow
      agreement in such form as by the Committee shall prescribe.

            After the satisfaction of the restrictions, terms and conditions
      set by the Committee at the time of an award of Restricted Stock to a
      person, a new certificate, without the legend set forth above, for the
      number of Shares that are no longer subject to such restrictions, terms
      and conditions shall be delivered to the person.

            If a person to whom Restricted Stock has been awarded dies after
      satisfaction of the restrictions, terms and conditions for the payment of
      all or a portion of the award but prior to the actual payment of all or
      such portion thereof, such payment shall be made to the person's
      beneficiary or beneficiaries at the time and in the same manner that such
      payment would have been made to the person.

            The Committee shall have the authority (and the Agreement
      evidencing an award of Restricted Stock may so provide) to cancel all or
      any portion of any outstanding restrictions prior to the expiration of
      such restrictions with respect to any or all of the Shares of Restricted
      Stock awarded to a person hereunder on such terms and conditions as the
      Committee may deem appropriate.

            (c)  Without limiting the provisions of the first paragraph of
      subsection (b) of this Section 20, if a person to whom Restricted Stock
      has been awarded ceases to be employed by at least one of the employers
      in the group of employers consisting of the Company and its Affiliates,
      for any reason, prior to the satisfaction of any terms and





                                      A-10
<PAGE>   35
      conditions of an award, any Restricted Stock remaining subject to
      restrictions shall thereupon be forfeited by the person and transferred
      to, and reacquired by, the Company or an Affiliate at no cost to the
      Company or the Affiliate; provided, however, if the cessation is due to
      the person's death, RETIREMENT OR DISABILITY, the Committee
      may, in its sole and absolute discretion, deem that the terms and
      conditions have been met for all or part of such remaining portion.  In
      the event of such forfeiture, the person, or in the event of his death,
      his personal representative, shall forthwith deliver to the Secretary of
      the Company the certificates for the Shares of Restricted Stock remaining
      subject to such restrictions, accompanied by such instruments of
      transfer, if any, as may reasonably be required by the Secretary of the
      Company.

            (d)  In case of any consolidation or merger of another corporation
      into the Company in which the Company is the surviving corporation and in
      which there is a reclassification or change (including a change to the
      right to receive cash or other property) of the Shares (other than a
      change in par value, or from par value to no par value, or as a result of
      a subdivision or combination, but including any change in such shares
      into two or more classes or series of shares), the Committee may provide
      that payment of Restricted Stock shall take the form of the kind and
      amount of shares of stock and other securities (including those of any
      new direct or indirect parent of the Company), property, cash or any
      combination thereof receivable upon such consolidation or merger.


      SECTION 21.  GENERAL

            (a)  The proceeds received by the Company from the sale of Shares
      pursuant to Options shall be used for general corporate purposes.

            (b)  Nothing contained in the Plan or in any Agreement shall confer
      upon any Optionee or recipient of Restricted Stock the right to continue
      in the employ of the Company or any Affiliate, or interfere in any way
      with the rights of the Company or any Affiliate to terminate his
      employment at any time, with or without cause.

            (c)  Neither the members of the Board nor any member of the
      Committee shall be liable for any act, omission or determination taken or
      made in good faith with respect to the Plan or any Option and any SARs
      that relate to such Option granted hereunder or any Restricted Stock
      awarded hereunder; and the members of the Board and the Committee shall
      be entitled to indemnification and reimbursement by the Company in
      respect of any claim, loss, damage or expenses (including counsel fees)
      arising therefrom to the full extent permitted by law and under any
      directors' and officers' liability or similar insurance coverage that may
      be in effect from time to time.

            (d)  Any payment of cash or any issuance or transfer of Shares to
      the Optionee, or to his legal representative, heir, legatee or
      distributee, in accordance with the provisions hereof, shall, to the
      extent thereof, be in full satisfaction of all claims of such persons
      hereunder.  The Committee may require any Optionee, legal representative,
      heir, legatee or distributee, as a condition precedent to such payment,
      to execute a release and receipt therefor in such form as it shall
      determine.

            (e)  Neither the Committee, the Board nor the Company guarantees
      the Shares from loss or depreciation.

            (f)  All expenses incident to the administration, termination or
      protection of the Plan, including, but not limited to, legal and
      accounting fees, shall be paid by the Company or its Affiliates.

            (g)  Records of the Company and its Affiliates regarding a person's
      period of employment, termination of employment and the reason therefor,
      leaves of absence, re-employment and other matters shall be conclusive
      for all purposes hereunder, unless determined by the Committee to be
      incorrect.

            (h)  Any action required of the Company shall be by resolution of
      its Board or by a person authorized to act by resolution of the Board.
      Any action required of the Committee shall be by resolution of the
      Committee or by a person authorized to act by resolution of the
      Committee.

            (i)  If any provision of the Plan or any Agreement is held to be
      illegal or invalid for any reason, the illegality or invalidity shall not
      affect the remaining provisions of the Plan or such Agreement, as the
      case may be, but such





                                      A-11
<PAGE>   36
      provision shall be fully severable and the Plan or such Agreement, as the
      case may be, shall be construed and enforced as if the illegal or invalid
      provision had never been included herein or therein.

            (j)  Whenever any notice is required or permitted hereunder, such
      notice must be in writing and personally delivered or sent by mail.  Any
      notice required or permitted to be delivered hereunder shall be deemed to
      be delivered on the date on which it is personally delivered, or, whether
      actually received or not, on the third business day after it is deposited
      in the United States mail, certified or registered, postage prepaid,
      addressed to the person who is to receive it at the address which such
      person has theretofore specified by written notice delivered in
      accordance herewith.  The Company, an Optionee or a recipient of
      Restricted Stock may change, at any time and from time to time, by
      written notice to the other, the address that it or he had theretofore
      specified for receiving notices.  Until changed in accordance herewith,
      the Company and each Optionee and recipient of Restricted Stock shall
      specify as its and his address for receiving notices the address set
      forth in the Agreement pertaining to the Shares to which such notice
      relates.

            (k)  Any person entitled to notice hereunder may waive such notice.

            (l)  The Plan shall be binding upon the Optionee or recipient of
      Restricted Stock, his heirs, legatees, distributees and legal
      representatives, upon the Company, its successors and assigns, and upon
      the Committee, and its successors.

            (m)  The titles and headings of Sections and paragraphs are
      included for convenience of reference only and are not to be considered
      in the construction of the provisions hereof.

            (n)  All questions arising with respect to the provisions of the
      Plan shall be determined by application of the laws of the State of Texas
      except to the extent Texas law is preempted by Federal law.

            (o)  Words used in the masculine shall apply to the feminine where
      applicable, and wherever the context of the Plan dictates, the plural
      shall be read as the singular and the singular as the plural.





                                      A-12

<PAGE>   37
 
- --------------------------------------------------------------------------------
 
<TABLE>
<S>               <C>
LOGO                               NOBLE DRILLING CORPORATION
                  THIS PROXY IS SOLICITED ON BEHALF OF THE BOARD OF DIRECTORS
</TABLE>
 
    The undersigned hereby appoints James C. Day and Byron L. Welliver, and each
of them, proxies with power of substitution in each, and hereby authorizes them
to represent and to vote, as designated below, all shares of Common Stock of
Noble Drilling Corporation (the "Company") standing in the name of the
undersigned on March 12, 1997, at the annual meeting of stockholders to be held
on April 24, 1997 at 10:00 a.m. in Houston, Texas, and at any adjournment
thereof and especially to vote on the items of business specified below, as more
fully described in the notice of the meeting and the proxy statement
accompanying the same, receipt of which is hereby acknowledged.
 
<TABLE>
<S>                                        <C>                                        <C>
1. ELECTION OF DIRECTORS                   FOR all nominees listed below              WITHHOLD AUTHORITY
                                           (except as marked to the                   to vote for all nominees
                                           contrary below) [ ]                        listed below [ ]
</TABLE>
 
                        JAMES C. DAY      MARC E. LELAND
 
(INSTRUCTION: To withhold authority to vote for any individual nominee, write
that nominee's name in the space provided below.)
 
- --------------------------------------------------------------------------------
 
2. Proposal to approve and ratify the Company's 1991 Stock Option and Restricted
   Stock Plan as amended and restated:
 
               [ ] FOR          [ ] AGAINST          [ ] ABSTAIN
 
3. In their discretion, the proxies are authorized to vote upon such other
   business or matters as may properly come before the meeting or any
   adjournment thereof.
 
                  (Continued and to be signed on reverse side)
 
- --------------------------------------------------------------------------------
<PAGE>   38
 
- --------------------------------------------------------------------------------
 
    THIS PROXY, WHEN DULY EXECUTED AND RETURNED, WILL BE VOTED IN THE MANNER
DESIGNATED HEREIN BY THE UNDERSIGNED STOCKHOLDER. IF THIS PROXY IS DULY EXECUTED
AND RETURNED, BUT WITHOUT A CLEAR VOTING DESIGNATION, IT WILL BE VOTED FOR ITEMS
1 AND 2.
 
    The undersigned hereby revokes any proxy or proxies heretofore given to
represent or vote such Common Stock and hereby ratifies and confirms all actions
that said proxies, their substitutes, or any of them, may lawfully take in
accordance with the terms hereof.
 
                                             Dated:                       , 1997
 
                                             -----------------------------------
 
                                             -----------------------------------
                                             Signature(s) of Stockholder(s)
 
                                             This proxy should be signed exactly
                                             as your name appears hereon. Joint
                                             owners should both sign. If signed
                                             as attorney, executor, guardian or
                                             in some other representative
                                             capacity, or as officer of a
                                             corporation, please indicate your
                                             capacity or title.
 
                                             PLEASE COMPLETE, DATE AND SIGN THIS
                                             PROXY AND RETURN IT PROMPTLY IN THE
                                             ENCLOSED ENVELOPE, WHICH REQUIRES
                                             NO POSTAGE IF MAILED IN THE UNITED
                                             STATES.
 
- --------------------------------------------------------------------------------
<PAGE>   39
 
- --------------------------------------------------------------------------------
 
<TABLE>
<S>               <C>
                                   NOBLE DRILLING CORPORATION
LOGO                        VOTING INSTRUCTION CARD FOR COMMON STOCK
                    VOTING INSTRUCTIONS SOLICITED ON BEHALF OF THE BOARD OF
                                           DIRECTORS
</TABLE>
 
    The undersigned hereby instructs the trustee to vote, as designated below,
all shares of Common Stock of Noble Drilling Corporation that are credited to
the accounts of the undersigned (whether or not vested) in the Noble Drilling
Corporation Thrift Plan at the annual meeting of stockholders to be held on
April 24, 1997 at 10:00 a.m. in Houston, Texas, and at any adjournment thereof,
as more fully described in the notice of the meeting and the proxy statement
accompanying the same, receipt of which is hereby acknowledged.
 
<TABLE>
<S>                                        <C>                                        <C>
1. ELECTION OF DIRECTORS                   FOR all nominees listed below              WITHHOLD AUTHORITY
                                           (except as marked to the                   to vote for all nominees
                                           contrary below) [ ]                        listed below [ ]
</TABLE>
 
                        JAMES C. DAY      MARC E. LELAND
 
(INSTRUCTION: To withhold authority to vote for any individual nominee, write
that nominee's name in the space provided below.)
 
- --------------------------------------------------------------------------------
 
2. Proposal to approve and ratify the Company's 1991 Stock Option and Restricted
   Stock Plan as amended and restated:
 
               [ ] FOR          [ ] AGAINST          [ ] ABSTAIN
 
                  (Continued and to be signed on reverse side)
 
- --------------------------------------------------------------------------------
<PAGE>   40
 
- --------------------------------------------------------------------------------
 
    THIS VOTING INSTRUCTION CARD, WHEN DULY EXECUTED AND RETURNED, WILL BE VOTED
BY THE TRUSTEE OF THE NOBLE DRILLING CORPORATION THRIFT PLAN ("THRIFT PLAN") IN
THE MANNER DESIGNATED HEREIN BY THE UNDERSIGNED THRIFT PLAN PARTICIPANT. IF THIS
VOTING INSTRUCTION CARD IS DULY EXECUTED AND RETURNED, BUT WITHOUT A CLEAR
VOTING DESIGNATION, IT WILL BE VOTED FOR ITEMS 1 AND 2.
 
                                             Dated:                       , 1997
 
                                             -----------------------------------
                                                          Signature
 
                                             This voting instruction card should
                                             be signed exactly as your name
                                             appears hereon.
 
                                             PLEASE COMPLETE, DATE AND SIGN THIS
                                             VOTING INSTRUCTION CARD AND RETURN
                                             IT PROMPTLY IN THE ENCLOSED
                                             ENVELOPE, WHICH REQUIRES NO POSTAGE
                                             IF MAILED IN THE UNITED STATES.
 
- --------------------------------------------------------------------------------


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