The Writers | Binary Numbers | How to convert decimals into binary digits.

Binary Numbers

A binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two symbols: typically "0" and "1". The base-2 numeral system is a positional notation with a radix of 2. Radix is basically another term for the base.

The decimal digits are 0,1,2,3,4,5,6,7,8,9.

Each digit is referred to as a bit.

If the total binary digit is 1 then it is called bit.
If the total binary digits are 4 then it is called nibble.
If the total binary digits are 8 then it is called byte.

Conversion of a decimal number into binary form :

1. Let there be a number, say, 42. Now we know that binary digit places are the powers of 2

1. Now,       2⁶       2⁵       2⁴       2³        2²        2¹         2⁰

                       64     32     16       8        4         2        1                

     

     3.   Now  42 < 64  so subtract 32 from 42 as 42 > 32.

     4.   42 - 32  = 10.

     5.   Now  10>8  so  10-8 = 2.

     6.   Now  2-2 = 0

    

     7.   Since 32, 8, 2, are the only numbers to be used so mark them as 1 and the rest as 0

     8.   So after marking them in the above table 

  

                                  

                    2⁶      2⁵      2⁴       2³       2²        2¹       2⁰

                    0       1       0       1        0        1        0

                      

        Therefore the binary digits of the number 42 will be 101010