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                                                                  EXHIBIT 23(a)

                   CONSENT OF INDEPENDENT PUBLIC ACCOUNTANTS

We consent to the reference to our firm under the caption "Experts" in the
Registration Statement (Form S-3) and related Prospectus of Texas Instruments
Incorporated for the registration of $400,000,000 of Texas Instruments Financial
Trust Preferred Securities, Texas Instruments Incorporated Guarantee of Texas
Instruments Financial Trust Preferred Securities, Texas Instruments Incorporated
Junior Subordinated Deferrable Interest Debentures, and Texas Instruments
Incorporated Common Stock, and to the incorporation by reference therein of our
report dated January 22, 1996, with respect to the consolidated financial
statements and schedule of Texas Instruments Incorporated included in its 
Annual Report (Form 10-K) for the year ended December 31, 1995 as amended 
by the Form 10-K/A, filed with the Securities and Exchange Commission.


                                /s/ Ernst & Young LLP
                                --------------------------------------------

June 27, 1996
Dallas, Texas