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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.

                                        X                    Y                      X – Y

                                         0                   0                     0 – 0 = 0
                                                                                   0 – 1 = 1
                                         0                   1
                                                                        (borrow 1, so that 10 – 1 = 1)
                                         1                   0                     1 – 0 = 1

                                         1                   1                     1 – 1 = 0
                 For example, let us subtract the binary number (111)  from (1000) .
                                                                       2            2
                                                         1    1
                                                    0  (10)  (10)  (10) _____
                                                                               Borrow
                                                    1    0    0     0
                                                 –       1    1     1
                                                    0    0    0     1






                   Modern day binary number system was invented by Gottfried Lebiniz in 1679.








                       Let's REFRESH



                       A number system is a collection of numbers used to describe various quantities.

                       The decimal number system consists of ten digits from 0 to 9.


                       The binary number system consists of two digits 0s and 1s.
                      The octal number system is used as a shorthand representation of long binary numbers.
                       The hexadecimal number system consists of 16 digits from 0 to 9 and A to F.



                                                       exercise



                 A.  Tick ( ) the correct option.

                    1.   Which of the following is called the right-most digit before the fractional point in the binary number
                        system?

                         (i)  MSD                                         (ii)  LSD

                        (iii)  BSD                                       (iv)  None of these



                                                                                            Number System      13
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