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


From Binary Division to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

RSS

  1. Converting Fractions to Decimals | Solved Examples | Free Worksheet

    Apr 28, 25 01:43 AM

    Converting Fractions to Decimals
    In converting fractions to decimals, we know that decimals are fractions with denominators 10, 100, 1000 etc. In order to convert other fractions into decimals, we follow the following steps:

    Read More

  2. Expanded Form of a Number | Writing Numbers in Expanded Form | Values

    Apr 27, 25 10:13 AM

    Expanded Form of a Number
    We know that the number written as sum of the place-values of its digits is called the expanded form of a number. In expanded form of a number, the number is shown according to the place values of its…

    Read More

  3. Converting Decimals to Fractions | Solved Examples | Free Worksheet

    Apr 26, 25 04:56 PM

    Converting Decimals to Fractions
    In converting decimals to fractions, we know that a decimal can always be converted into a fraction by using the following steps: Step I: Obtain the decimal. Step II: Remove the decimal points from th…

    Read More

  4. Worksheet on Decimal Numbers | Decimals Number Concepts | Answers

    Apr 26, 25 03:48 PM

    Worksheet on Decimal Numbers
    Practice different types of math questions given in the worksheet on decimal numbers, these math problems will help the students to review decimals number concepts.

    Read More

  5. Multiplication Table of 4 |Read and Write the Table of 4|4 Times Table

    Apr 26, 25 01:00 PM

    Multiplication Table of Four
    Repeated addition by 4’s means the multiplication table of 4. (i) When 5 candle-stands having four candles each. By repeated addition we can show 4 + 4 + 4 + 4 + 4 = 20 Then, four 5 times

    Read More