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Step 3 Then write the remainder in the reverse order.
Example: (126)
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2 126
2 63 0
2 31 1
2 15 1
2 7 1
2 3 1
1 1
The binary equivalent of 126 is 1111110 or (126) = (1111110) 2
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uiz Bee Convert (26) to a binary number and write answer below.
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CONVERSION OF BINARY TO DECIMAL
To convert a binary number into a decimal number, follow the given steps:
Step 1 Multiply each digit of the binary number by 2 to the power of n, where n is the position of
the digit starting from 0 on the right.
Step 2 Add the result.
Example: Convert (101001) to decimal number.
2
1
4
5
= 1 x 2 + 0 x 2 + 1 x 2 + 0 x 2 + 0 x 2 + 1 x 2 0
3
2
Sum of the products = 32 + 0 + 8 + 0 + 0 + 1 = 41
Therefore, (101001) = (41) 10
2
OPERATIONS ON BINARY NUMBERS
We can perform various operations on binary numbers. Let's discuss binary addition and binary
subtraction in detail.
Number System 11

