Exclusive or

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OR but not AND is XOR

Venn 0110 0110.svg ~\oplus~ Venn 0000 1111.svg ~\Leftrightarrow~ Venn 0110 1001.svg

The logical operation exclusive disjunction, also called exclusive or (symbolized XOR, EOR, EXOR, or , pronounced /ɛks ˈɔɹ/ or /z ˈɔɹ/), is a type of logical disjunction on two operands that results in a value of true if exactly one of the operands has a value of true.[1] A simple way to state this is "one or the other but not both."

Put differently, exclusive disjunction is a logical operation on two logical values, typically the values of two propositions, that produces a value of true only in cases where the truth value of the operands differ.

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