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What is the largest decimal value that can be represented by a 4-bit binary number ?

  • A.8
  • B.15
  • C.16
  • D.32

Answer: D

Correct answer: 15

Four bits give \(2^4 = 16\) distinct patterns, running from 0 to 15.

\[1111_2 = 8 + 4 + 2 + 1 = 15\]

Answering 16 counts the patterns rather than naming the largest value.

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