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There are _________ numbers of Boolean functions of degree n.(a) n(b) 2^(2*n)(c) n^3(d) n^(n*2)The question was asked in unit test.My question is based upon Boolean Functions topic in section Boolean Algebra and Modeling Computations of Discrete Mathematics

Answer»

Correct choice is (b) 2^(2*n)

The explanation: There are 2n DIFFERENT n-tuples of 0’s and 1’s. A BOOLEAN function is an ASSIGNMENT of 0’s or 1’s to each of these 2 n different n-tuples. HENCE, there are 2^(2*n) different Boolean functions.



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