Page 18 - TP_Plus_v4_Class7
P. 18

Binary Subtraction

              In binary subtraction, binary number of lower value is subtracted from the binary number of higher
              value. The given 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
                                                                           Factbot
                        1    0    0     0
                                                                    Modern day binary number system was
                    –        1    1     1                           invented by Gottfried Lebiniz in 1679.

                        0    0    0     1


                         Timeline




                         A number system is a systematic way of representing numbers to describe 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 letters from A to F.






                     Choose the correct option.


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

                              a.  MSD                                       b.  LSD

                              c.  BSD                                       d.  None of these

                     2.  What is the another name for Base 2 number system?

                              a.  Binary number system                      b.  Hexadecimal number system

                              c.  Decimal number system                     d.  Octal number system





                  16  Plus (Ver. 4.0)-VII
   13   14   15   16   17   18   19   20   21   22   23