# Binary Division

The method followed in binary division is also similar to that adopted in decimal system. However, in the case of binary numbers, the operation is simpler because the quotient can have either 1 or 0 depending upon the divisor.

The table for binary division is

 - 1 0 1 1 Meaning less 0 0 Meaning less

The binary division operation is illustrated by the following examples:

Evaluate:

(i) 11001 ÷ 101

Solution:

101)   11001   (101
101
101
101

Hence the quotient is 101

(ii) 11101.01 ÷ 1100

Solution:

1100)   11101.01   (10.0111
1100
10101
1100
0010
1100
1100
1100

Hence the quotient is 10.0111

(iii) 10110.1 ÷ 1101

Solution:

1101)   10110.1   (1.101
1101
10011
1101
11000
1101
1011

Thus the quotient is 1.101 upto 3 places of binary point and the remainder is 1.011.

(iv) 101.11 ÷ 111

Solution:

111)   101.11   (0.11
11 1
10 01
1 11
10

Thus the quotient is 0.11 upto 2 places of binary point and the remainder is 0.1.

• Why Binary Numbers are Used
• Binary to Decimal Conversion
• Conversion of Numbers
• Hexa-decimal Number System
• Conversion of Binary Numbers to Octal or Hexa-decimal Numbers
• Octal and Hexa-Decimal Numbers
• Signed-magnitude Representation