The 2's complement of the binary number (100100)₂ is:

2016

The 2's complement of the binary number (100100)₂ is:

  1. A.

    (011101)₂

  2. B.

    (011110)₂

  3. C.

    (111100)₂

  4. D.

    (011100)₂

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Show answer & explanation

Correct answer: D

To find the 2's complement, first take the 1's complement by inverting each bit: (100100)₂ → (011011)₂. Now add 1: (011011)₂ + 1 = (011100)₂. Hence, the 2's complement is (011100)₂.

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