GATE | GATE-CS-2007 | Question 85

Suppose only one multiplexer and one inverter are allowed to be used to implement any Boolean function of n variables. What is the minimum size of the multiplexer needed?
(A) 2ⁿ line to 1 line
(B) 2ⁿ⁺¹ line to 1 line
(C) 2^n-1 line to 1 line
(D) 2^n-2 line to 1 line


Answer: (C)

Explanation: We can use n-1 selection lines , and using 0,1 and nth variable and its compliment to realize the function

So ans is 2^(n-1):1  Part-(C )

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