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The octal number 645, expanded in powers of 8, is equal to

  • A.450
  • B.451
  • C.421
  • D.501

Answer: C

Correct answer: 421

Each octal digit carries a power of 8:

\[ 645_8 = 6\times 8^2 + 4\times 8^1 + 5\times 8^0 = 384+32+5 = 421 \]

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