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The table shows the positional weight of decimal number (724) .
                                                                             10



                                                Hundreds                   Ten                   Units



             Weights                                 10 2                   10 1                   10 0
             Real Value of each digit              7 × 10 2               2 × 10 1               4 × 10 0


             Result                                 700                     20                      4


            For Example: (3698)  10
                             0
            8 signifies 8 x 10 = 8
                             1
            9 signifies 9 x 10 = 90
                             2
            6 signifies 6 x 10 = 600
            3 signifies 3 x 10 = 3000
                            3
            Upon adding them = 3000 + 600 + 90 + 8 = 3698


            BINARY NUMBER SYSTEM

            A number system made up of only two digits: 0 and 1, is known as the binary number system.
            When the binary number system is used, every number is formed using only 0 and 1. The word
            binary comes from ‘Bi-’ meaning two that’s why the base of the binary number is 2. It is also
            known as the base-2 system.


            Formation of Binary numbers
            As you know the binary number system consists of two digits: 0 and 1 and its base is 2. Each

            digit or bit in a binary number system can be 0 or 1. A combination of binary digits may be
            used to represent different quantities like 1001. The positional value of each digit in a binary
            number is twice the place value or face value of the digit on its right side. The weight of each
            position is a power of 2. The place value of the digits according to position and weight is as
            follows:


               Position         3           2            1          0                        –1         –2
                                                                                 •
               Weights          2 3         2 2         2 1         2 0                     2 –1        2 –2


            For example: 10101 or (10101)  is
                                          2
                                              1
                   4
                            3
                                                      0
                                     2
            = (1 x 2 ) + (0x 2 ) + (1x 2 ) + (0x 2 ) + (1x 2 )
            = (1 x 16) + (0 x 8) + (1 x 4) + (0 x 2) + (1 x 1)
            = (21) 10

                                                                                             Number System    9
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