The 2’s complement of the binary number 1101101 is

This question was previously asked in
IPRC ISRO Technical Assistant Electronics 21 April 2018 Official Paper
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  1. 0101110
  2. 0111110
  3. 0110010
  4. 0010011

Answer (Detailed Solution Below)

Option 4 : 0010011
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Detailed Solution

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Concept:

1’s complement representation of a binary number is obtained by toggling all the bits, i.e. replacing 1 with 0, and 0 with 1.

2’s complement representation of a binary number is obtained by adding 1 to the 1’s complement representation.

Application:

Given the binary number is 1101101

Taking the 1's complement of the above, we replace all the 1's with 0's and all the 0's with 1's to get:

1's complement of 1101101 = 0010010

Adding 1 to the 1's complement, we get the 2's complement as:

0010010 + 1 = 0010011

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