# Binary 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

A binary arithmetic example is given to understand the operation more clearly

The operation shows the

binary subtraction clearly

## 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)

An example is given

## 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.