GATE 2013 CS (CS1) – Question 31

Digital Logic · Boolean Algebra and Minimization · 1 mark · Multiple choice

Which does NOT represent XNOR of x,y?

$xy+\bar x\bar y$
$x\oplus\bar y$
$\bar x\oplus y$
$\bar x\oplus\bar y$

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Show answer and explanation

Correct answer: (D) $\bar x\oplus\bar y$

Explanation

Complementing exactly one XOR input inverts XOR and gives XNOR, while complementing both preserves XOR. Thus D is XOR, not XNOR. A is the equality sum-of-products and B,C each complement one input.

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