GATE | GATE CS 2019 | Question 59

What is the minimum number of 2-input NOR gates required to implement 4-variable function expressed in sum-of-minterms from as f = Σ(0, 2, 5, 7, 8, 10, 13, 15)? Assume that all the inputs and their complements are available. Answer ________ .

Note: This was Numerical Type question.
(A) 3
(B) 4
(C) 5
(D) 6


Answer: (A)

Explanation: K-map for given,

f = Σ(0, 2, 5, 7, 8, 10, 13, 15)

Therefore,

f = BD +B'D' 
= (B' + D).(B + D')

Since all the inputs and their complements are available, so circuit implementation using NOR gate:



F can be implemented using 3 NOR gates.

So, option (A) is correct.


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