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6/26/2026
The Bitwise Jedi: Mastering the XOR Trick Like a Lightsaber

The Bitwise Jedi: Mastering the XOR Trick Like a Lightsaber

Short summary

XOR bitwise operations provide an elegant O(n) time, O(1) space solution for finding unique array elements through self-annihilation (a ^ a = 0) and identity (a ^ 0 = a) properties. Extended variations solve two-element detection using bit partitioning strategies. This interview classic teaches developers to recognize algebraic invariants and write memory-efficient code.

  • •XOR's self-annihilation and identity properties enable space-optimal algorithms without hash tables
  • •Single and two-unique-element problems both solve with O(n) time and O(1) space
  • •Technique trains developers to hunt for invariants beyond interviews—applicable to streaming data and log analysis

Generated with AI, which can make mistakes.

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