Multiple choice

(r-1)' s compliment of the (r-1)' s compliment of an integer number is

  1. the original number

  2. the (r-2)' s compliment of the number

  3. the r' s compliment

  4. the none of the above
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A Correct answer
Explanation

Taking the (r-1)'s complement twice returns the original number - it's an involution operation. For example, in binary (r=2, so r-1=1), the 1's complement of the 1's complement of 1010 (0101 → 1010) gives back 1010. This is a fundamental property of complement operations.

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