exclusive or


The logical operator xor, short for “exclusive or”, is a binary operator that is true iff exactly one of its parameters is true, and thus corresponds to the normal use of “or” in English. Xor uses the symbol ⊕ due to its similarity to disjunctionMathworldPlanetmath, which sometimes uses +. The truth tableMathworldPlanetmath for xor is

a b a⊕b
F F F
F T T
T F T
T T F
Title exclusive or
Canonical name ExclusiveOr
Date of creation 2013-03-22 18:04:59
Last modified on 2013-03-22 18:04:59
Owner me_and (17092)
Last modified by me_and (17092)
Numerical id 6
Author me_and (17092)
Entry type Definition
Classification msc 03B05
Synonym xor
Synonym logical xor
Synonym logical exclusive or
Related topic Disjunction
Related topic PropositionalLogic