Which of the following binary number is the same as its 2's complement?

2016

Which of the following binary number is the same as its 2's complement?

Answer: C. 1000 — To find the 2's complement, invert all bits and add one. For 1000, inversion yields 0111; adding one returns 1000. This is because 1000 represents the most…

  1. A.

    1010

  2. B.

    0101

  3. C.

    1000

  4. D.

    1001

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Correct answer: C

To find the 2's complement, invert all bits and add one. For 1000, inversion yields 0111; adding one returns 1000. This is because 1000 represents the most negative value in a 4-bit signed system, which is its own negation. Other numbers produce different results.

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