A computer has the following negative numbers stored in binary form as shown. The wrongly stored number is
  • a)
    -37 as 1101 1011
  • b)
    -89 as 1010 0111
  • c)
    -48 as 1110 1000
  • d)
    -32 as 1110 0000
Correct answer is option 'C'. Can you explain this answer?

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Answers

Prashant Salian
Sep 30, 2018
Take 2's complement of binary no given. Convert the 2's complement to its decimal equivalent. It should match the give number but no sign
e.g 2's complement of 1101 1011 is 0010 0101 which is equal to 37
and similarly for other options..but for C
for option c, 2's complement is 00011000 which is equivalent to 40 and not 48. Hence c is a wrong option

Take 2's complement of binary no given. Convert the 2's complement to its decimal equivalent. It should match the give number but no sign e.g 2's complement of 1101 1011 is 0010 0101 which is equal to 37 and similarly for other options..but for Cfor option c, 2's complement is 00011000 which is equivalent to 40 and not 48. Hence c is a wrong option
Take 2's complement of binary no given. Convert the 2's complement to its decimal equivalent. It should match the give number but no sign e.g 2's complement of 1101 1011 is 0010 0101 which is equal to 37 and similarly for other options..but for Cfor option c, 2's complement is 00011000 which is equivalent to 40 and not 48. Hence c is a wrong option