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Convert integer to NAF form

SalesforceSoftware Engineer · Online Assessment
MediumSoftware EngineerOnline AssessmentCoding & Algorithms

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This question evaluates understanding of number representations (Non-Adjacent Form), bit-level optimization, and formal proof techniques for demonstrating minimal Hamming weight, together with algorithmic complexity analysis.

Question

Convert a given integer into its Non-Adjacent Form (NAF) representation such that no two non-zero digits are adjacent, and prove that the resulting form has minimal Hamming weight. Explain the algorithm and analyze its complexity.