Logical exclusive or
a.k.a. xor, ⊕, exclusive disjunction
A boolean algebra expression such that a ⊕ b
is true
when a
and b
are not equal, and false
otherwise.
The logical not of logical equivalence.
Equivalent expression using basic operations:
(a ∧ ¬b) ∨ (¬a ∧ b)
Truth Table
1 ⊕ 1 = 0
1 ⊕ 0 = 1
0 ⊕ 1 = 1
0 ⊕ 0 = 0
Plain English
Both terms must be equal.