Concept
Parity function
Overview
In Boolean algebra, a parity function is a Boolean function whose value is one if and only if the input vector has an odd number of ones. The parity function of two inputs is also known as the XOR function.
The parity function is notable for its role in theoretical investigation of circuit complexity of Boolean functions.
The output of the parity function is the parity bit.
Overview adapted from Wikipedia (CC BY-SA 4.0; see the article history for authors).
Related ideas
- Exclusive or
- If and only if
- Boolean algebra
- Boolean function
- Axiom of choice
- Transitive closure
- Boolean expression
Place in the tradition
Part of Outline of logic.