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In the binary number system, there are only two digits—0 and 1—and any number can be represented by these two digits. The **arithmetic of binary numbers** involves binary addition, binary subtraction, binary multiplication, or binary division.

**Binary arithmetic** operation starts from the least significant bit i.e. from the rightmost 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

Binary multiplication may sound like it would be more difficult than binary addition or subtraction – but is actually a simple process. Here are the four steps to be followed, using the same binary numbers 10001001 and 10010101:

- 0×0=0
- 1×0=0
- 0×1=0
- 1×1=1 (there is no carry or borrow for this)

The arithmetic of multiplying binary numbers is shown below:

## 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.