The two’s Complements of 10100 is

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ALP CBT 2 Electronic Mechanic Previous Paper: Held on 21 Jan 2019 Shift 1
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  1. 01100
  2. 10001
  3. 11001
  4. 11

Answer (Detailed Solution Below)

Option 1 : 01100
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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 10100

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 10100 = 01011

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

01011 + 1 = 01100

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