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There are four types of number systems:

                      1.  Decimal Number System                              3.  Octal Number System
                      2.  Binary Number System                               4.  Hexadecimal Number System
                  The Decimal Number System is commonly used in everyday life, but computers use the Binary
                  Number System. Additionally, computers also utilise the Octal and Hexadecimal Number Systems.
                  Decimal Number System

                  The Decimal Number System is a standard number system for denoting numbers. It consists
                  of ten digits from 0 to 9. Only these digits can be used to represent any numeric value in the
                  Decimal Number System. Hence, the base of the Decimal Number System is 10. The Decimal
                  Number System is the most widely used number system. The value represented by the individual
                  digit depends on the weight and position of the digit.
                  In the Decimal Number System:

                     The position of the first digit to the left of the decimal point is 0.
                     The position of the second digit to the left of the decimal point is 1.
                     Similarly, the position of the first digit to the right of the decimal point is -1.
                     The position of the second digit to the right of the decimal point is -2, and so on.
                  The place value of the digits according to position and weight is as follows:


                                  Position        2         1         0               -1        -2
                                                                               .
                                  Weight         10 2      10 1      10 0            10 -1     10 -2

                  The value of a number is determined by multiplying the digits by the weight of their position and
                  adding the results. This method is known as the expansion method. The right-most digit of the

                  number has the lowest weight. This digit is called the Least Significant Digit (LSD). The left-most
                  digit of a number has the highest weight. This digit is called the Most Significant Digit (MSD). The
                  digit 7 in the number 724 is the most significant digit, and 4 is the least significant digit.
                  The table below illustrates the positional weight of the decimal number (724)₁₀:

                             Place Value                  Weights      Real Value of Each Digit Result

                             Hundreds                     10 2         7 x 10 2                    700
                             Tens                         10 1         2 x 10 1                    20

                             Units                        10 0         4 x 10 0                    4

                  In this table:
                      The hundreds place has a weight of 10² (100), so the real value is 7 × 100, resulting in 700.

                      The tens place has a weight of 10¹ (10), so the real value is 2 × 10, resulting in 20.

                      The units place has a weight of 10⁰ (1), so the real value is 4 × 1, resulting in 4.
                  Adding these results together gives the total value of 724.








                    22     iPro (Ver. 4.1)-VII
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