Question

The result of subtracting the following two signed binary numbers on an eight bit machine is
     10110011
   - 01101001

Answer 1

let,A=10110011 and B=01101001

A - B,we can write this->A + ( 2's complement of B)

Now,find 2's complement of B:

                                         First convert B into 1's complement i.e. all 0's change to 1's and all 1's change to 0's

                               Result of 1's complement of B = 10010110

                                         Now add 1 to the result of 1's complement.

                                      we get 2's complement after adding 1,i.e. 2's complement of B=10010111

Now we have to do binary addition with A,

                                                               10110011

                                                               10010111

                                                             1 01001010

In result we get carry that means number is positive we have to cancel the carry.

Final result after Subtracting A and B = 01001010

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