The Octal equivalent of the binary number 1011101011 is :
2017
The Octal equivalent of the binary number 1011101011 is :
- A.
7353
- B.
1353
- C.
5651
- D.
5657
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Show answer & explanation
Correct answer: B
Solution:
Pad the binary number with leading zeros so its length is a multiple of three: 1011101011 → 001 011 101 011.
Group the padded binary into threes from the left (these groups come from grouping the original number from the right): 001, 011, 101, 011.
Convert each 3-bit group to its octal digit: 001 = 1, 011 = 3, 101 = 5, 011 = 3.
Combine the digits to get the octal number: 1353.
Therefore, the octal equivalent of the binary number 1011101011 is 1353.