# Binary Arithmetic

Published on 24/2/2012 & updated on 25/8/2018HOME / DIGITAL ELECTRONICS / ARITHMETIC

In binary number system there are only 2 digits 0 and 1, and any number can be represented by these two digits. The

**arithmetic of binary numbers**means the operation of addition, subtraction, multiplication and division.**Binary arithmetic**operation starts from the least significant bit i.e. from the right most side. We will discuss the different operations one by one in the following article.## Binary Addition

There are four steps in binary addition, they are written below- 0 + 0 = 0
- 0 + 1 = 1
- 1 + 0 = 1
- 1 + 1 = 0 (carry 1 to the next significant bit)

An example will help us to understand the addition process.
Let us take two binary numbers 10001001 and 10010101
The above example of **binary arithmetic** clearly explains the binary addition operation, the carried 1 is shown on the upper side of the operands.

## Binary Subtraction

Here are too four simple steps to keep in memory- 0 - 0 = 0
- 0 - 1 = 1, borrow 1 from the next more significant bit
- 1 - 0 = 1
- 1 - 1 = 0

__Related pages__

## Binary Multiplication

Here are also four steps to be followed, which are- 0×0=0
- 1×0=0
- 0×1=0
- 1×1=1 (there is no carry or borrow for this)

## Binary Division

Binary division is comprised of other two binary arithmetic operations, multiplication and subtraction; an example will explain the operation more easily. Here 101 is the quotient and 1 is the remainder.**Please Rate this Article**