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What is the Octal equivalent of the binary number 11111001 ?

  • A.761
  • B.762
  • C.371
  • D.372

Answer: C

The octal equivalent of 11111001 is 371. Group the bits in threes from the right, padding the left: 011 111 001.

\[ 011 = 3,\quad 111 = 7,\quad 001 = 1 \]

So the number is 371 in octal. As a check, 11111001 in binary is 249 in decimal, and \(3 \times 64 + 7 \times 8 + 1 = 249\). Options (A) 761 and (B) 762 come from grouping the bits wrongly, and (D) 372 gives 250, one more than the binary number.

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