ISRO-DEC2017-40

Question

Let $M=11111010$ and $N=00001010$ be two $8$-$bit$ two's complement number.Their product in two's complement is

• A. $11000100$
• B. $10011100$
• C. $10100101$
• D. $11010101$

Answer 1

• Let us convert given numbers to decimal
  • 11111010 = - ( 00000110) =  -6
  • 00001010 = 10
• Product =   -6 * 10 =   - 60
• twos complement of 60 is 00111100
• Hence    - 60 =  11000100

Answer is A