Which of the following is/are functionally complete expression? {NOT, AND}

Which of the following is/are functionally complete expression?

A. {NOT, AND}

B. {OR, AND}

C. {OR, NOT}

D. {AND, OR, NOT}

E. {NOR, NOT}

F. {AND, NAND}

  1. A.

    A, C, D

  2. B.

    B, C, D

  3. C.

    D, E, F

  4. D.

    A, C, D, E, F

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Show answer & explanation

Correct answer: D

NOR and NAND gates are universal gates. That means every other gate can be made using these two gates. So, any set containing them will be a functionally complete set. So, E and F will be functionally complete. Furthermore, (AND, NOT) gates can be combined to form NAND and NOT and OR to form NOR. SO, A, C, D, E, F are all functionally complete.

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