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Example 2: Convert the decimal number 64, i.e., (64)  to binary.
                                                                   10
                   2  64

                   2  32            –0
                   2  16            –0

                   2    8            –0  (64)  = (1000000)
                                         10             2
                   2    4            –0

                   2    2            –0
                         1            –0


                BINARY TO DECIMAL CONVERSION


            To convert a binary number into a decimal number, follow these steps:
                Start  from  the  right-most  digit  known  as  the  LSD  before  the  fractional  point,  and  move
               leftwards.

                While doing so, multiply each digit by 2 raised to a particular power. The powers of 2 start
               from 0 and increase to 1, 2, and so on as you move leftwards.

                Add up all the resulting products. You will get your decimal number.
            The following examples will help you to understand the conversion.

            Example 1:  Convert (1111)  to decimal number.
                                         2
                                  3
                                           2
                                                   1
                                                            0
                          = 1 × 2  + 1 × 2  + 1 × 2  + 1 × 2
                          = 8 + 4 + 2 + 1
                          = 15
                          (1111)  = (15)
                                2       10
            Example 2:  Convert (10111)2 to decimal number.
                                                   2
                                          3
                                                            1
                                  4
                          = 1 × 2  + 0 × 2  + 1 × 2  + 1 × 2  + 1 + 2 0
                          = 16 + 0 + 4 + 2 + 1
                          = 23
                          (10111)   = (23)
                                  2       10
            Example 3:  Convert (101.101)  to decimal number.
                                            2

                Position          2           1           0                      –1          –2          –3
               Face value         1           0           1           •           1          0           1

                Weights           2 2         2 1         2 0                    2 –1        2 –2       2 –3


                                                                                 -2
                                                                       -1
                                                             0
                                          2
                                                    1
                     101.101 = 1 × 2  + 0 × 2  + 1 × 2  + 1 × 2  + 0 × 2  + 1 × 2          -3
                                                                                       Number System         11
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