8’s complement of (7650) is –

2022

8’s complement of (7650) is –

  1. A.

    0230

  2. B.

    0130

  3. C.

    1230

  4. D.

    3450

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Show answer & explanation

Correct answer: B

Key idea: Use the 7's complement (r-1 complement) of each octal digit, then add 1 to get the 8's complement.

  1. Compute the 7's complement of each digit of 7650 (base 8):

    7 - 7 = 0, 7 - 6 = 1, 7 - 5 = 2, 7 - 0 = 7 → 0127

  2. Add 1 in base 8 to the 7's complement:

    0127 + 1 = 0130 (base 8). Explanation of carries: 7 + 1 = 8 → 0 with carry 1; 2 + carry 1 = 3; remaining digits unchanged.

  3. Therefore the 8's complement of 7650 (base 8) is 0130.

Answer: 0130 (base 8)

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