Question

1.Convert the following decimal and binary numbers into signed integer 32-bit representation (2’s complement for negative numbers).

-99

Answer 1

Write down the decimal number and continually divide by 2 to give a result and a remainder. The remainder is either a 1 or a 0.
99 /  2  result 49 remainder  1
49 /  2  result 24 remainder  1
24 /  2  result 12 remainder  0
12 /  2  result 6  remainder  0
6  /  2  result 3  remainder  0
3  /  2  result 1  remainder  1
1  /  2  result 0  remainder  1
Read the remainders from bottom to top.
( 99 )10 = ( 1100011 )2
99 in 32-bit binary is
( 99 )10 = ( 00000000000000000000000001100011 )2

Ones complement = Inverting all the bits in binary = 11111111111111111111111110011100
Twos complement = Ones complement + 1 = 11111111111111111111111110011100 + 1 = 11111111111111111111111110011101

Answer:

11111111111111111111111110011101