Which of the following functionally complete set takes minimum number

Which of the following functionally complete set takes minimum number of gates to implement the function f(A,B)= (A+B)(C+D) .

  1. A.

    S1={OR,NOT}

  2. B.

    S2={AND,NOT}

  3. C.

    Both S1 and S2

  4. D.

    None

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Show answer & explanation

Correct answer: A

The given function f(A,B) is in OR-AND form. That is level 1 has OR gates and level 2 has AND gates.

OR - AND realization can be easily converted into NOR-NOR realization.

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