8’s complement of (7650) is –
2022
8’s complement of (7650) is –
- A.
0230
- B.
0130
- C.
1230
- 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.
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
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.
Therefore the 8's complement of 7650 (base 8) is 0130.
Answer: 0130 (base 8)