Page 60 - Computer Science Class 11 Without Functions
P. 60

Example 47: Convert (A1F.B3)  to its equivalent octal number.
                                   16
                  A         1        F         .        B        3
                  ↓        ↓         ↓                  ↓        ↓
                1010      0001     1111               1011     0011
        Binary equivalent of (A1F.B3)  is (101000011111.10110011) 2
                                  16
                                                      one 0 added

            1 0 1  0 0 0  0 1 1  1 1 1  . 1 0 1  1 0 0  1 1 0

             5      0      3      7   .   5      4      6
        Octal equivalent of (101000011111.101100110) is (5037.546) 8
                                                   2


                 Find octal representation of (9.7) , (5A.AF) , and (C4.98) .
                                                               16
                                           16
                                                   16
        Conversion of Octal Numbers to Hexadecimal
        To convert an octal number to a hexadecimal number, first convert it to a binary number and then convert the binary
        number to hexadecimal number.
        Example 48: Convert (75.36) to a hexadecimal number
                                  8
        (75.36) 8
                  7         5   .    3        6
                  ↓        ↓         ↓        ↓
                 111      101       011      110
        Binary equivalent of (75.36)  is (111101.011110)
                                 8                 2
                two 0s added                   two 0s added

                  0 0 1 1 1 1 0 1  .  0 1 1 1 1 0 0 0

                    3       D     .     7       8

        Hexadecimal equivalent of (111101.011110)  is (3D.78) 16
                                                2

                 1. Write binary and octal equivalents for the following hexadecimal digits:
                   F, A, 5, C
                 2. Find hexadecimal representation of (10.5) , (32.6)  and (40.3) .
                                                    8
                                                           8
                                                                    8

        Perform the following conversions:
        a.  (10011.01)  to decimal
                      2
        b.  (C25.D2)  to decimal
                    16
        c.  (157.25)  to decimal
                   8
        d.  (0.341)  to hexadecimal
                  10
        Ans:
        a.  (10011.01)  to decimal number.
                      2
            Face Value         1      0     0     1    1  .    0      1
                                                        0
            Place value        2 4   2 3    2 2   2 1  2  .   2 –1   2 –2


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