Position in Binary Number System

In the Binary system, we have ones, twos, fours etc.…

For example 1011.110

It is shown like this:

1 × 8 + 0 × 4 + 1 × 2 + 1 + 1 × ½ + 1 × ¼ + 0 × 1⁄8

= 11.75 in Decimal

To show the values greater than or less than one, the numbers can be placed to the left or right of the point.

For 10.1, 10 is a whole number on the left side of the decimal, and as we move more left, the number place gets bigger (Twice).

The first digit on the right is always Halves ½ and as we move more right, the number gets smaller (half as big).

In the example given above:

• “10” shows ‘2’ in decimal.
• “.1” shows ‘half’.
• So, “10.1” in binary is 2.5 in decimal.

Binary Arithmetic Operations

Like we perform the arithmetic operations in numerals, in the same way, we can perform addition, subtraction, multiplication and division operations on Binary numbers.

Let us learn them one by one.�

Binary Addition

Adding two binary numbers will give us a binary number itself.

It is the simplest method.

Addition of two single-digit binary number is given in the table below.