Which of the following is the 2's complement of the binary number (101100)2?

2018

Which of the following is the 2's complement of the binary number (101100)2?

  1. A.

    (010011)2

  2. B.

    (101111)2

  3. C.

    (010100)2

  4. D.

    (111100)2

Attempted by 145 students.

Show answer & explanation

Correct answer: C

To find the 2's complement of (101100)₂, first invert all bits to get the 1's complement: (010011).

Next, add binary 1 to this result: (010011) + 1 equals (010100). Thus, the 2's complement is (010100)₂.

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