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                               101.101 = 1 × 2  + 0 × 2  + 1 × 2  + 1 × 2  + 0 × 2  + 1 × 2 -3
                                  = 1 × 4 + 0 + 1 × 1 + 1/2 + 0 + 1/8
                                  = 4 + 1 + 0.5 + 0.125
                                   = 5.625
                                        (101.101) = (5.625) 10
                                          2

                              Let’s CatCh uP

                        Convert the binary number 1000.10 into decimal.

                             OPERATIONS ON BINARY NUMBERS

                      Let's learn the basic operations on binary numbers.

                           Binary Addition

                      Binary addition is similar to the addition of decimal numbers. When the value of addition exceeds the
                      value 1, say 10 or 11, then 1 is carried over to the left of the current position. The rules for adding two
                      binary digits are given below:

                             X                Y                  X + Y
                                                                                                         _____
                             0                0                0 + 0 = 0               1   1   1  1  1          Carry bits

                             0                1                 0 + 1 = 1              1   0  1  1  1  1
                                                                                   +       1   0  1  1  1
                              1               0                 1 + 0 = 1
                                                                                   1   0   0  0  1  1  0
                              1               1            1 + 1 = 10 (carry 1)

                      For example, let us add the binary numbers (101111)  and (10111) .
                                                                                     2
                                                                         2
                           Binary Subtraction

                      In binary subtraction, binary number of lower value is subtracted from the binary number of higher
                      value. The following table explains the subtraction of digit Y from digit X. If Y is greater than X, then 1
                      is borrowed from the next position. When the binary digit 0 borrows 1 from the next most significant
                      digit, it becomes 10.

                      12    Premium Edition-VII

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