NIMCET 2017 — Computer PYQ

The Correct Answer is 111101101101

• Conversion of (-147) to a signed binary in 2's complement representation:
• The positive version of the number: |-147|=147
• Divide the number repeatedly by 2 to get the binary form of (147): We stop when we get a quotient that is equal to zero.
• We will get the binary number: 147${}_{(10)}=10010011_{(2)}$
• The Positive binary computer representation on 16 bits (2 Bytes): Add extra 0's in front (to the left) of the base 2 number, up to the required length, 16:147${}_{(10)}=0000000010010011$
• Get the negative integer number representation on 16 bits: !$(0000000010010011)=11111111101101101100$ 
• To get the negative integer number representation on 16 bits (2 Bytes), the signed binary two's complement add 1 to the number calculated above: $11111111101101100+1=111111111101101101$
• $-147_{(10)}=1111111101101101$