Practice Problems on Binary Operations
Problem : Consider a binary operation * on set X = {a, b, c} defined by below. Find:
(i) Compute (a * b) * c
(ii) Is * commutative?
(iii) Find the identity element of the binary operation.
Table:
* |
a |
b |
c |
---|---|---|---|
a |
a |
b |
c |
b |
b |
c |
a |
c |
c |
a |
b |
Binary Operation
Binary Operation is an operation defined for any set S such that it takes two elements from S as input and produces a single element in S as output. As the name suggests, binary operations require at least two inputs as it is defined from the cartesian product of set to set itself.
In this article, we will explore binary operations, binary operations definition, properties of binary operations, types of binary operations, and many more. We will also discuss the applications of binary operations and solve some binary operation examples. Let’s start our learning on the topic “Binary Operation”.
Table of Content
- What are Binary Operations?
- Properties of Binary Operations
- Types of Binary Operations
- Binary Operation Table
- Applications of Binary Operations