Page 14 - ConceptGP_C7_Fb
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X               Y                  X + Y
                                               0               0                0 + 0 = 0
                                               0                1                0 + 1 = 1

                                               1               0                 1 + 0 = 1
                                               1                1           1 + 1 = 0 (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

                  BINARY SUBTRACTION

                  In binary subtraction, the 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. The rules for binary subtraction:


                                           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




                                                                                                        Life Skills & Values
                                                            Self Reflection

                     Your classmate is facing trouble to understand the different number systems. He is having a hard
                                                            Self Reflection
                     time doing calculations and converting numbers into different number systems. Will you help him
                     by teaching all the steps in detail?





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