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Step 3   Add up all the resulting products. You will get your decimal number.

                  The following examples will help you to understand the conversion.

                  Example 1:  Convert (1111)  to decimal number.
                                                2
                                        3
                                                 2
                                                                    0
                                                           1
                                = 1 × 2  + 1 × 2  + 1 × 2  + 1 × 2
                                = 8 + 4 + 2 + 1
                                = 15

                                (1111)  = (15)
                                       2       10
                  Example 2:  Convert (10111)2 to decimal number.

                                        4
                                                           2
                                                 3
                                                                    1
                                = 1 × 2  + 0 × 2  + 1 × 2  + 1 × 2  + 1 + 2   0
                                = 16 + 0 + 4 + 2 + 1
                                = 23

                                (10111)   = (23)
                                        2        10

                      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. In Binary Number System, 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

                                               0               1                0 + 1 = 1

                                               1               0                1 + 0 = 1

                                               1               1           1 + 1 = 10 (carry 1)

                  For example, let us add the binary numbers (101111)  and (10111) .
                                                                       2
                                                                                    2
                                                                        _____
                                                     1    1  1  1  1          Carry bits
                                                     1    0  1  1  1  1

                                                 +        1  0  1  1  1

                                                 1  0     0  0  1  1  0







                   12       Play (Ver. 2.1)-VIII
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