Page 59 - Computer Science Class 11 Without Functions
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Example 42: Convert (10110.10)  to its equivalent hexadecimal number.
                                         2
                three 0s added                          two 0s added

                               00010110    .  1  0  0  0

                                 1    6          8
                 (10110.10)  = (16.8) 16
                          2



                    Find hexadecimal representation of (110.01) , (100.101110) , and (110.011) .

                                                                    2
                                                        2
                                                                                 2
            Conversion of Hexadecimal Numbers to Binary
            To convert a hexadecimal number to binary, write the 4-bit binary equivalent of each hexadecimal digit.

            Example 43: (.D8)  to binary
                            16
                     0.        D        8
                               ↓        ↓
                             1101      1000
                = (0.11011000) 2
            Example 44: Convert (16.8)  to binary
                                    16
                      1        6   .    8
                      ↓        ↓        ↓
                    0001     0110      1000
                = (10110.10) 2

            Example 45: Convert (C7B.D6E)  to binary
                                        16
                      C        7        B         .        D         6        E
                      ↓        ↓        ↓                  ↓         ↓        ↓
                    1100     0111      1011               1101     0110     1110
                =(110001111011.110101101110)
                                             2



                    Find binary representation of (9.7) , (5A.AF) , and (C4.98) .
                                                16      16         16


            Conversion of Hexadecimal Numbers to Octal
            To convert a hexadecimal number to an octal number, first convert it to a binary number and then convert the binary
            number to a hexadecimal number.
            Example 46: Convert (1F.3)  to its equivalent octal number.
                                    16
                      1        F   .    3
                      ↓        ↓        ↓
                    0001     1111      0011
            Binary equivalent of (1F.3)  is (00011111.0011) 2
                                   16
                                     two 0s added

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

                 3      7    .  1     4
            Octal equivalent of (00011111.0011)  is (37.14)
                                            2         8

                                                                            Number Systems and Encoding Schemes  57
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