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5.  Convert (507.26)  to decimal.
                                     8
                   Ans.
                           2       1        0                -1      -2
                           5       0        7        .       2       6
                            2
                       = 5 × 8  + 0 × 8  + 7 × 8  + 2 × 8  + 6 × 8 -2
                                   1
                                                -1
                                         0
                        = 320 + 0 + 7 + 1/4 + 3/32
                        = (327.34375) 10
                     6.  Convert (5B7.2C)  to decimal.
                                     16
                   Ans.    2       1        0                -1      -2
                           5      B(11)     7        .       2      C(12)
                                                    -1
                             2
                                     1
                                            0
                        = 5 × 16  + 11 × 16  + 7 × 16  + 2 × 16  + 12 × 16 -2
                                       1
                        = 1280 + 176 + 7 +    + 3/64
                                       8
                        = (1463.1718) 10
                     7.  Convert (11010100101.01)  to octal.
                                             2
                   Ans.   011  010  100  101        010      4(2 ) 2(2 ) 1(1 )            Octal
                                                                          0
                                                               2
                                                                     1
                         3     2     4    5     .    2        0     1    1         0 × 4 + 1 × 2 + 1 × 1 = 3
                                                              0     1    0         0 × 4 + 1 × 2 + 0 × 1 = 2
                                                              1     0    0         1 × 4 + 0 × 2 + 0 × 1 = 4
                                                              1     0    1         1 × 4 + 0 × 2 + 1 × 1 = 5
                                                              0     1    0         0 × 4 + 1 × 2 + 0 × 1 = 2
                        (3245.2) 8

                     8.  Convert (1100101.110111)  to hexadecimal.
                                             2
                   Ans.
                                                                          2
                                                                                1
                                                                                      0
                                                                     3
                         0110    0101           1101    1100      8(4 ) 4(2 ) 2(2 ) 1(1 )             Hexa
                          6       5       .      D       C          0    1     1     0      0 × 8 + 1 × 4 + 1 × 2 + 0 × 1 = 6
                                                                    0    1     0     1      0 × 8 + 1 × 4 + 0 × 2 + 1 × 1 = 5
                                                                    1    1     0     1     1 × 8 + 1 × 4 + 0 × 2 + 1 × 1 = 13
                                                                    1    1     0     0     1 × 8 + 1 × 4 + 0 × 2 + 0 × 1 = 12
                        (65.DC) 16
                     9.  Convert (765.23)  to binary.
                                     8
                   Ans.   7     6      5      .     2      3
                         111   110    101     .    010    011

                         (111110101.010011) 2
                    10.  Convert (FACE.07)  to binary.
                                      16
                   Ans.   F    A     C    E     .    0     7
                        1111 1010 1100 1110     .   0000 0111
                        (1111101011001110.00000111)
                                                 2
                    11.  Convert (217.34)  to hexadecimal.
                                     8
                   Ans.  Converting 217.34 to binary
                          2     1      7      .     3      4
                         010   001    111     .    011    100
                       Binary equivalent = 010001111.0111
                       After removing leading and trailing 0’s
                       10001111.0111


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