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Step 3 Then write the remainder in the reverse order.
Example: (126)
10
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
10
uiz Bee Convert (26) to a binary number and write answer below.
10
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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
2
1
4
3
5
= 1 x 2 + 0 x 2 + 1 x 2 + 0 x 2 + 0 x 2 + 1 x 2 0
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.
BINARY ADDITION
Binary addition is similar to the addition of decimal numbers. When the value of addition exceeds
the value 1, say 10 or 11, then 1 is carried over to the left of the current position.
Number System 11

