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.

● 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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