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    The given examples will help you understand the conversion.
                     Example 1: Convert (125)  to a decimal          Example 2: Convert (5AD)  to a decimal number.
                                                                                                 16
                                               16
                     number.                                             A = 10 (since A represents 10 in hexadecimal)
                                            1
                              = 1 × 16  +2 × 16  + 5 × 16 0              D = 13 (since D represents 13 in hexadecimal)
                                    2
                                                                                  2
                                                                                           1
                              = 1 × 256 + 2 × 16 + 5 × 1                   = 5 × 16  + 10 × 16  + 13 × 16 0
                              = 256 + 32 + 5                               = 5 × 256 + 10 × 16 + 13 × 1
                              = 293                                        = 1280 + 160 + 13
                                                                           = 1453
                     Therefore, (125)  = (293) 10                      Therefore, (5AD)  = (1453)
                                     16
                     DECIMAL TO BINARY NUMBER SYSTEM                                  16        10

                     To convert a decimal number to binary, follow these steps:

                     Step   1     Divide the given decimal number by 2 and note the remainder.
                     Step   2     Divide the quotient obtained from the previous step by 2 and note the new remainder.

                     Step  3      Repeat the steps until the quotient becomes less than 2.

                     Step   4     Write the remainders in reverse order, starting with the last remainder.

                     Example 1: Convert (13)  to a binary number.         Example 2: Convert (28)  to a binary number.
                                              10
                                                                                                   10
                                 2  13                                                2  28
                                 2    6    1                                          2  14     0

                                 2    3    0                                          2    7    0
                                      1    1                                          2    3    1
                                                                                           1    1
                     Therefore, (13)  = (1101) 2
                                   10
                                                                          Therefore, (28)  = (11100) 2
                                                                                         10
                     DECIMAL TO OCTAL NUMBER SYSTEM

                     To convert a decimal number to octal, follow these steps:
                     Step   1     Divide the given decimal number by 8 and note the remainder.

                     Step   2     Divide the quotient obtained from the previous step by 8 and note the new remainder.

                     Step  3      Repeat the steps until the quotient  becomes less than 8.

                     Step   4     Write the remainders in reverse order, starting with the last remainder.

                     Example 1: Convert (1023)  to an octal number. Example 2:  Convert (4320)  to an octal number.
                                                                                                    10
                                                10
                     8  1023                                            8  4320
                     8     127    1                                     8  540       0
                     8      15    0                                     8     67     4

                             1    1                                     8      8     3
                                                                                1    0

                     Therefore, (1023)  = (1777) 8
                                      10
                                                                        Therefore, (4320)  = (10340)  8
                                                                                          10

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                                                                                                      Number System

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