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GATE | GATE CS 2011 | Question 13

Last Updated : 20 Sep, 2021

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Which one of the following circuits is NOT equivalent to a 2-input XNOR (exclusive NOR) gate?

(A) A
(B) B
(C) C
(D) D

Answer: (D)

Explanation: All options except D produce XOR as described below :
$NOT({a \bigoplus b}) = XNOR \\ NOT(NOT(a)\bigoplus NOT(b)) = NOT(aNOT(b) + NOT(a)b) = XNOR \\ NOT(a) \bigoplus b = ab + NOT(ab)= XNOR \\ NOT(NOT(aNOT(b))(NOT(b)+a)) = NOT(NOT(ab)+ba) = NOT(XNOR)$