example of binary subtraction of negative number

Question

Example of binary subtraction of Negative number

Case 2.  Negative number is more than  the positive number ( i e, answer  is negative)

 Example : Subtract 92₁₀ ( 1011100₂ ) from 45₁₀ ( 101101₂).

Solution : write both  numbers in 8 bit form

      00101101                                                          (45₁₀)

      01011100                                                          (92₁₀)

1 s complement of the negative number                10100011

Add 1                                                                             1

2 complement of the  negative  number                10100100

Adding  2 s  complement  of the  negative  number with  the first  (positive ) number,

      00101101 (45₁₀)

    [phone]( -92₁₀)

      11010001(-47₁₀)

 No  carry means the answer  is negative  and is in 2  complement  form i e, 1101 0001 is 2 complement  of 00101111₂,  u e 7410 means  the answer is -47₁₀.