|A binary operation is an operation that operates on two operands. In other words, a binary operation on anon-empty set A takes two elements of the set A and combines them to form an element of A. For instance '+' and 'x' are binary operations on the set l of integers. These operations are binary because only two integers are involved. The prefix"bi" denotes two a. The operations of union and intersection of sets and composition of functions are also binary operations.These operations mentioned here are denoted as follows:|
a+b = c, a.b = c, A U B = C, gof = h
In each situation, an element (c, C or h) is assigned to an original pair of elements.
Definition: A binary operation on a set S is a mapping S X S into S.
Steps to check if an operation is binary or not
a*b = a/b, a, b € I
Consider a = 1, b = 2
a* b = a/b
a/b = 1/2 does not belong to I
Hence not a binary operation.
Directions: Check whether the following operations are binary.