exclusive or
"Exclusive or," often abbreviated as XOR, is a fundamental concept in logic and computing that emphasizes mutual exclusivity.
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Definition
C1Logic
(technical, academic)A logical operation that returns true only when the inputs are different.
Example
- In the expression A XOR B, the result is true if A is true and B is false, or if A is false and B is true.
C1Computing
(technical)A binary operation that yields true when exactly one of the two operands is true.
Example
- The XOR gate in digital circuits outputs a high signal only when the number of high inputs is odd.
C1Mathematics
(technical, academic)A Boolean operator that returns true when precisely one of its arguments is true.
Example
- In Boolean algebra, the exclusive or function is denoted as A ⊕ B.
Similar
Terms that have similar or relatively close meanings to "exclusive or":