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:


(i) 11001 ÷ 101


        101)   11001   (101

Hence the quotient is 101

(ii) 11101.01 ÷ 1100


        1100)   11101.01   (10.0111

Hence the quotient is 10.0111

(iii) 10110.1 ÷ 1101


        1101)   10110.1   (1.101

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

(iv) 101.11 ÷ 111


        111)   101.11   (0.11
                   11 1        
                   10 01
                     1 11      

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

Binary Numbers

  • 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
  • Radix Complement
  • Diminished Radix Complement
  • Arithmetic Operations of Binary Numbers

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