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Identify the logic gate used to implement the equivalence operation (≡).

Identify the logic gate used to implement the equivalence operation (≡). Correct Answer Exclusive-NOR gate

The Exclusive-NOR gate is used to implement the Equivalence operation. This can be concluded by observing the following truth table. A B A’.B+A.B’ (Exclusive-OR) (A’B+A.B’)’ = (A’+B).(A+B’) = A.B+A’.B+A’ (Exclusive-NOR) 0 0 0 1 0 1 1 0 1 0 1 0 1 1 0 1 Thus, output is 1 only when A ≡ B for Exclusive-NOR Gate. Hence equivalence operation is performed by Exclusive-NOR gate.

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