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Look at the given examples to understand the conversion better.
Example 1: Convert the (26) to binary number.
10
2 26
2 13 0 The binary equivalent of (26) is 11010
10
2 6 1 In other words, (26) = (11010) 2
10
2 3 0
1 1
Start listing the last quotient and all the
remainders from here.
Example 2: Convert the (64) to binary number.
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Let’s CatCh uP
Convert the decimal number 91 into binary.
2 64
2 32 0
2 16 0
2 8 0 (64) = (1000000) 2
10
2 4 0
2 2 0
1 0
BINARY TO DECIMAL CONVERSION
To convert a binary number into a decimal number, follow these steps:
Step 1: Start from the right-most digit known as the LSD before the fractional point, and move
towards left.
Step 2: While doing so, multiply each digit by 2 raised to a particular power. The powers of 2 start
from 0 and increase to 1, 2, and so on as you move towards left.
Step 3: Add up all the resulting products. You will get your decimal number.
The following examples will help you to understand the conversion.
Example 1: Convert (1111) to decimal number.
2
0
1
2
3
= 1 × 2 + 1 × 2 + 1 × 2 + 1 × 2
= 8 + 4 + 2 + 1
= 15
(1111) = (15) 10
2
Number System 11

