Page 49 - Computer Science Class 11 Without Functions
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7        3        2
                  ↓        ↓        ↓
                 111      011      010
              (732)  = (111011010) 2
                   8
            i.  (101011100)  to hexadecimal
                          2
                         added three 0s
                0  0  0  1 0  1  0  1 1  1  0  0

                   1        5         C
                (101011100)  = (15C)
                           2       16
            j.   (F31)  to binary
                    16
                  F          3         1
                  ↓          ↓         ↓
                 1111      0011       0001
                (F31)  = (111100110001) 2
                    16
            k.  (474)  to hexadecimal
                    8
                Step1: Octal to Binary
                  4        7        4
                  ↓        ↓        ↓
                 100      111      100
                (100111100) 2
                Step2: Binary to hexadecimal
                0  0  0  1 0  0  1  1 1  1  0  0

                   1        3         C
                = (13C) 16

                Therefore (474)  = (13C)
                              8      16
            l.   (C8E)  to octal
                    16
                Step1: Hexadecimal to Binary
                  C        8        E
                  ↓        ↓        ↓
                1100      1000     1110
                (C8E)  = (110010001110) 2
                    16
                Step2: Binary to octal
                1  1  0  0    1    0 0    0    1 1    1    0

                  6         2         1        6

                = (6216) 8
                Therefore (C8E)  = (6216)
                              16       8
            2.5.2 Fractional Numbers
            In  the  previous  section,  we  have  discussed  how  to  change  the  representation  of  a  positive  integer  from  one
            number  system  to  another.  Let  us  now  study  the  conversion  of  fractional  numbers  from  one  number  system  to
            another.



                                                                            Number Systems and Encoding Schemes  47
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