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Algorithmsset logic

Set Logic on Bits

TT
Testlaa Team
May 14, 2026•1 min read

Treat integers as characteristic vectors of finite sets; inclusion–exclusion sometimes becomes XOR on parity layers.

Try this in Python

A, B = 0b1010, 0b1100
print(bin(A | B), bin(A & B), bin(A & ~B))

Key takeaways

  • Set difference A \ B is A & ~B when universe bounded.
  • Symmetric difference is XOR for membership flip.
  • Always mask to universe size when needed.

Tags:

Bits & subset DPPythonStudents