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Authors:
M. Morris Mano, Michael D. Ciletti
Chapter:
Digital Systems And Binary Numbers
Exercise:
Problems
Question:17 | ISBN:9780132774208 | Edition: 5

Question

Perform subtraction on the given unsigned numbers using the 10’s complement of the subtrahend. Where the result should be negative, find its 10’s complement and affix a minus sign. Verify your answers.
(a) 4,637 - 2,579                     (b) 125 - 1,800
(c) 2,043 - 4,361                     (d) 1,631 - 745

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Answer

1.17 Ans: (a) 4637 – 2579

              10’s complement of 2579 is 9999 - 2579 = 7420 + 1

                                                                                = 7421

               7421  + 4637 = 12058

           Here 1 is carry, the result should be positive and by removing it 2058 is

           the result.

      (b) 125 -1800

           10’s complement of 1800 is 9999 – 1800 = 8199 + 1                                                                                        

                                                                             = 8200

           125+8200 = 8325

         Here there is no carry, the result should be negative so negative sign to

         10’s complement of 8325 = 10,000 – 8325

                                                  = - 1675.

     (c) 2043 - 4361

        10’s complement of 4361 is 10,000 - 4361

                                                         =5639

        2043 + 5639 = 7682

        Here there is no carry, the result should be negative so negative sign to 10’s     

        complement of 7682  = 10,000 - 7682

                                               =  - 2318.

    (d) 1631 - 745

          10’s complement of 745 is 10,000 – 745

                                                       = 9255

          1631+9255 = 10,886

           Here there is carry 1, the result should be positive and by removing it 886 is

           the result.    

     

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