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In a two’s complement system, what is the value of ~5 ?

  • A.-4
  • B.-5
  • C.-6
  • D.5

Answer: D

Correct answer: -6

Complementing inverts every bit, and in two’s complement that is equivalent to \(\sim n = -(n+1)\).

\[\sim 5 = -(5+1) = -6\]

Checking with 8 bits: 5 is 00000101, its complement is 11111010, and that pattern read as a two’s complement number is -6.

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