GATE | GATE-CS-2017 (Set 1) | Question 28

Consider the Karnaugh map given below, where X represents “ don’t care” and blank represents 0.

Assume for all inputs (a, c, d) the respective complements (a’, b’, c’, d’)are also available. The above logic is implemented 2-input NOR gates only. The minimum number of gates required is ____________. Note: This questions appeared as Numerical Answer Type.

(A)

1

(B)

2

(C)

3

(D)

4

Answer: (A)

Explanation:

Answer: (A)

Output explanation:

Solving the above k- map, = ca’ Since complement of variables is also available. So, this can be implemented using one NOR gate. Therefore, option A is correct.

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