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The logic equation of an EX-NOR gate having A and B as its input is:
Question

The logic equation of an EX-NOR gate having A and B as its input is:

A.

A’B + AB’

B.

A’B’ + A’B

C.

A’B’ + AB

D.

A’B’ + AB’

Correct option is C


An EX-NOR gate (also called an equivalence gate) outputs true (1) when both inputs are the same, meaning either both are 0 or both are 1.
The truth table for an EX-NOR gate is as follows:

From the truth table, the logic equation can be derived as:
· When both A and B are 0(A' and B' ) the output is 1.
· When both A and B are 1 ( A and B ), the output is 1.
The logic equation that satisfies these conditions is:
Y=A' B'+AB

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