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Look at the given examples to understand the conversion better.


        Example 1: Convert the decimal number 26, i.e.,  Example 2: Convert the decimal number 64, i.e.,
        (26)  to binary.                                      (64)  to binary.
                                                                  10
            10
          2  26                                                               2  64

          2   13    → 0                                                       2  32            → 0
          2    6    → 1                                                       2  16            → 0

          2    3     → 0                                                      2    8            → 0
                                                                              2    4            → 0
                1    → 1
                           Start listing the last quotient                    2    2            → 0
                           and all the remainders from                              1            → 0
                           here.
                                                              The binary equivalent of (64)  is 1000000
                                                                                           10
        The binary equivalent of (26)  is 11010               In other words, (64)  = (1000000)
                                      10
        In other words, (26)  = (11010) 2                                         10            2
                            10


                   Interdisciplinary Learning

                   #Mathematics

           Write the distance between your school and your home in km.
           Convert this distance in:
           foot                            binary number system

                                                                                                       #Activity



             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 given examples will help you to understand the conversion.
        Example 1: Convert (1111)  to decimal number.         Example 2: Convert (10111)  to decimal number.
                                                                                          2
                                    2
                                                                                                       1
                        = 1 × 2  + 1 × 2  + 1 × 2  + 1 × 2              = 1 × 2  + 0 × 2  + 1 × 2  + 1 × 2  + 1 + 2 0
                                                                               4
                                                                                               2
                                                                                       3
                                                  1
                                          2
                                  3
                                                          0
                        = 8 + 4 + 2 + 1                                 = 16 + 0 + 4 + 2 + 1
                             = 15                                       = 23
                   (1111)  = (15) 10                            (10111)  = (23) 10
                          2
                                                                       2
            14  Plus (Ver. 4.0)-VII
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