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    Step  2      The powers of 2 should start at 0 and increase by 1 as you move left.

                       Step  3      Simplify each product and add them together to get the decimal equivalent.

                      The given examples will help you understand the conversion.
                      Example 1:  Convert (11010)  to a decimal number.
                                                   2
                                                       2
                                                              1
                                               3
                                        4
                                  = 1 × 2  + 1 × 2  + 0 × 2  + 1 × 2  + 0 × 2 0
                                  = 16 + 8 + 0 + 2 + 0
                                  = 26
                      Therefore, (11010)  = (26) 10
                                        2
                      Example 2: Convert (10111101)  to a decimal number.
                                                     2
                                                6
                                                                            2
                                        7
                                                                                    1
                                                                     3
                                                              4
                                                       5
                                  = 1 × 2  + 0 × 2  + 1 × 2  + 1 × 2  + 1 × 2  + 1 × 2  + 0 × 2  + 1 × 2 0
                                  = 128 + 0 + 32 + 16 + 8 + 4 + 0 + 1
                                  = 189
                      Therefore, (10111101)  = (189) 10
                                          2
                      OCTAL TO DECIMAL NUMBER SYSTEM
                      To convert an octal number to a decimal number, follow these steps:
                       Step  1     Multiply each digit of the given octal number by the corresponding power of 8, starting

                                  from the rightmost digit.
                       Step  2     The powers of 8 should start at 0 and increase by 1 as you move from right to left.

                       Step  3     Simplify each product and add them together to get the decimal equivalent.

                      The given examples will help you understand the conversion.
                      Example 1: Convert (175)  to a decimal number. Example 2:  Convert (314)  to a decimal number.
                                                                                                    8
                                                8
                                  = 1 × 8  + 7 × 8  + 5 × 8 0                         = 3 × 8  + 1 × 8  + 4 × 8 0
                                               1
                                                                                            2
                                        2
                                                                                                   1
                                  = 1 × 64 + 7 × 8 + 5 × 1                            = 3 × 64 + 1 × 8 + 4 × 1
                                  = 64 + 56 + 5                                       = 192 + 8 + 4
                                  = 125                                               = 204
                      Therefore, (175)  = (125) 10                       Therefore, (314)  = (204) 10
                                                                                         8
                                      8
                      HEXADECIMAL TO DECIMAL NUMBER SYSTEM

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

                       Step  1     Multiply  each  digit  (or alphabet  value) of the  given hexadecimal  number  by  the
                                  corresponding power of 16, starting from the rightmost digit.

                       Step  2     The exponents of 16 should start with 0 for the rightmost digit and increase by 1 as you
                                  move left.
                       Step  3     Simplify each product and add them together to get the decimal equivalent.

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                            CodePilot (V5.0)-VII

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