Intellectually Curious

OEIS A000157: Boolean functions of n variables


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We explore A000157, the count of Boolean functions of n variables (2^(2^n)), and show how these functions can be represented by algebraic normal forms over GF(2). We’ll see how the Mobius transform translates truth tables to polynomials, and discuss connections to cryptography, coding theory, and computational complexity, illustrated with simple examples like AND and XOR.


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Intellectually CuriousBy Mike Breault