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Which one of the following expressions does NOT represent exclusive NOR of x and y?

1. x y ⊕ x̅ y̅
2. x ⊕ y̅
3. x ⊕ y
4. x̅ ⊕ y̅

Correct answer: x ⊕ y

Solution

The expression x ⊕ y represents the exclusive OR (XOR) operation, which outputs true when exactly one of the inputs is true, while exclusive NOR (XNOR) outputs true when both inputs are the same. Therefore, x ⊕ y does not represent exclusive NOR.

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