The Octal equivalent of the binary number 1011101011 is :

2017

The Octal equivalent of the binary number 1011101011 is :

  1. A.

    7353

  2. B.

    1353

  3. C.

    5651

  4. D.

    5657

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Show answer & explanation

Correct answer: B

Solution:

  1. Pad the binary number with leading zeros so its length is a multiple of three: 1011101011 → 001 011 101 011.

  2. Group the padded binary into threes from the left (these groups come from grouping the original number from the right): 001, 011, 101, 011.

  3. Convert each 3-bit group to its octal digit: 001 = 1, 011 = 3, 101 = 5, 011 = 3.

  4. Combine the digits to get the octal number: 1353.

Therefore, the octal equivalent of the binary number 1011101011 is 1353.

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