Binary operation for Beginners!!!. Associative, identity, commutative, distributive properties.

In mathematics, a binary operation or dyadic operation is a rule for combining two elements to produce another element. More formally, a binary operation is an operation of arity two. More specifically, an internal binary operation on a set is a binary operation whose two domains and the codomain are the same set.

A binary operation can be considered as a function whose input is two elements of the same set S and whose output also is an element of S. S . Two elements a and b of S can be written as a pair (a,b) of elements in S.
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