APPLIED DIGITAL SOLUTIONS INC
S-3/A, EX-23.4, 2000-11-16
COMPUTERS & PERIPHERAL EQUIPMENT & SOFTWARE
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                                                                    Exhibit 23.4

                       CONSENT OF INDEPENDENT ACCOUNTANTS

     We  have  issued  our  report  dated  April  28,  2000   accompanying   the
consolidated   financial   statements  of  Computer   Equity   Corporation   and
Subsidiaries  for the years ended  February  28,  1999 and  February  29,  2000,
included  in  Applied  Digital  Solutions,  Inc.'s  (formerly  Applied  Cellular
Technology,  Inc.)  Amendment  No. 1 dated  September 11, 2000 to Form 8-K dated
July 14, 2000. We consent to the incorporation by reference in this Registration
Statement on Form S-3 of Applied Digital  Solutions,  Inc. of the aforementioned
report and to the use of our name as it appears under the caption "Experts."


                                          /S/ GRANT THORNTON LLP
                                          ----------------------

Vienna, Virginia
November 15, 2000




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