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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.


                                             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



                          Tech Funda



                      The binary number system was invented by Gottfried Lebiniz in 1679.






                    Recap



                          A number system is method of counting.
                          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 consists of eight digits from 0 to 7.

                          The hexadecimal number system consists of 16 digits from 0 to 9 and A to F.






                                                                                            Number System         13
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