Binary Operation

A binary operation f(x,y) is an operation that applies to two quantities or expressions x and y.

A binary operation on a nonempty set A is a map f:A×A->A such that

1. f is defined for every pair of elements in A, and

2. f uniquely associates each pair of elements in A to some element of A.

Examples of binary operation on A from A×A to A include addition (+), subtraction (-), multiplication (×) and division (÷).

See also

Binary Operator

Explore with Wolfram|Alpha

Cite this as:

Weisstein, Eric W. "Binary Operation." From MathWorld--A Wolfram Web Resource.

Subject classifications