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Example 1: Convert the decimal number 26, i.e., (26) to binary.
10
2 26

2 13 → 0

2 6 → 1
2 3 → 0

1 → 1

Start listing the last quotient and all
the remainders from here.
The binary equivalent of (26) is 11010
10
In other words, (26) = (11010) 2
10
Example 2: Convert the decimal number 64, i.e., (64) to binary.
10
2 64
2 32 → 0
2 16 → 0

2 8 → 0
2 4 → 0
2 2 → 0

1 → 0
The binary equivalent of (64) is 1000000
10
In other words, (64) = (1000000) 2
10

Interdisciplinary Learning Activity

Write the distance between your school and home in km.
Convert this distance in:

meter binary number system

BINARY TO DECIMAL CONVERSION

To convert a binary number into a decimal number, follow these steps:

Start from the right-most digit known as the LSD before the fractional point and move leftwards.
While doing so, multiply each digit by 2 raised to a particular power. The powers of 2 start at 0 and
increase to 1, 2, and so on as you move leftward.

Add up all the resulting products. You will get your decimal number.
The given examples will help you understand the conversion.

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