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Suppose you need to reverse bits of an arbitrarily large integer (not fixed 32 or 64 bits). Which approach fundamentally changes compared to the fixed-width bit reversal methods?

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Bit Manipulation - Reverse Bits
Suppose you need to reverse bits of an arbitrarily large integer (not fixed 32 or 64 bits). Which approach fundamentally changes compared to the fixed-width bit reversal methods?
AUsing divide and conquer masks with fixed constants
BUsing a brute force loop over all bits
CUsing a byte-wise cache lookup with precomputed tables
DUsing recursion to reverse bits in chunks
Step-by-Step Solution
Solution:
  1. Step 1: Analyze fixed-width methods

    Divide and conquer masks and cache lookup rely on fixed bit widths and constants.
  2. Step 2: Consider arbitrary size

    For arbitrary large integers, recursion to reverse bits in chunks is needed to handle variable size.
  3. Step 3: Identify fundamental change

    Recursion allows processing variable-length inputs by dividing into manageable parts.
  4. Final Answer:

    Option D -> Option D
  5. Quick Check:

    Fixed-width methods don't scale; recursion handles arbitrary sizes [OK]
Quick Trick: Arbitrary size requires recursive chunk processing [OK]
Common Mistakes:
MISTAKES
  • Trying fixed masks on variable size
  • Ignoring recursion for large inputs
Trap Explanation:
PITFALL
  • Candidates often try fixed-width tricks on arbitrary sizes, which fail.
Interviewer Note:
CONTEXT
  • Tests ability to adapt bit manipulation to variable input sizes.
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