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Which one of the following expressions does NOT represent exclusive OR of x and y?

1. xy̅ + x̅y̅
2. x ⊕ y
3. x̅y + xy̅
4. x̅y̅ + xy

Correct answer: xy̅ + x̅y̅

Solution

The expression xy̅ + x̅y̅ represents a logical operation that outputs true when both inputs are either true or false, which is the definition of equivalence, not exclusive OR. Exclusive OR requires that only one of the inputs is true.

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