EXHIBIT 32.1

  CERTIFICATION PURSUANT TO SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002 (18
                              U.S.C. SECTION 1350)

      In connection with the accompanying Quarterly Report of QUALCOMM
Incorporated (the "Company") on Form 10-Q for the fiscal quarter ended March 27,
2005 (the "Report"), I, Irwin Mark Jacobs, Chief Executive Officer of the
Company, certify, pursuant to 18 U.S.C. Section 1350, as adopted pursuant to
Section 906 of the Sarbanes-Oxley Act of 2002, that:

(1) The Report fully complies with the requirements of Section 13(a) of the
Securities Exchange Act of 1934; and

(2) The information contained in the Report fairly presents, in all material
respects, the financial condition and results of operations of the Company.

Dated:  April 20, 2005

/s/ Irwin Mark Jacobs
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Irwin Mark Jacobs,
Chief Executive Officer and Chairman