Binary System

The primary use of the binary system is in computer applications. This system has only two figure or digits ‘0 and 1’, called as bits (binary and digits).

The binary number system is also useful when working with digital electronics. The use of this system is based on the fact that it has two states, ON and OFF which is represented by 1 and 0, respectively. This system has a base or radix of 2 as shown below.

Operations of Binary Numbers

Addition of Binary Numbers

Rules:

Example

        101101 + 11001 = 1000110

Subtraction of Binary Numbers

Rules:

Example

        100001 – 11111 = 000010

Multiplication of Binary Numbers

Rules:

Example

        1100 x 11 = 100100

Division of Binary Numbers

Rules:

Example

        11011 ÷ 11 = 1001