The 2’s complement representation of – 17 is 

This question was previously asked in
ESE Electronics 2016 Paper II: Official Paper
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  1. 100001
  2. 101111
  3. 110011
  4. 101110

Answer (Detailed Solution Below)

Option 2 : 101111
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Detailed Solution

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Concept:

The procedure for representing a negative decimal in 2's complement representation is as shown:

F2 S.B 8.6.20 Pallavi D6

Application:

The binary representation of 17

2

17

 

2

8

1

2

4

0

2

2

0

2

1

0

 

0

1

 

 

1710 = (10001)2

Taking the 1's complement of the above, we get 01110

Adding 1 to the 1's complement, we get the 2's complement representation of the number, i.e.

11101110 + 1 = 01111

(-17)10 in 2's complement is written as:

101111

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