Determine the number of essential prime implicants of the function f(a, b, c, d) = Σm(1, 3, 4, 8, 10, 13) + d(2, 5, 7, 12), where m denote the minterm and d denotes the don’t care condition.(a) 2^3(b) 3(c) 643(d) 128The question was asked in exam.I want to ask this question from Boolean Algebra in division Boolean Algebra and Modeling Computations of Discrete Mathematics

Determine the number of essential prime implicants of the function f(a

1.	Determine the number of essential prime implicants of the function f(a, b, c, d) = Σm(1, 3, 4, 8, 10, 13) + d(2, 5, 7, 12), where m denote the minterm and d denotes the don’t care condition.(a) 2^3(b) 3(c) 643(d) 128The question was asked in exam.I want to ask this question from Boolean Algebra in division Boolean Algebra and Modeling Computations of Discrete Mathematics
Answer» RIGHT option is (b) 3 To ELABORATE: A prime IMPLICANT that cannot be replaced by any other implicant for getting the OUTPUT is called the essential prime implicants. Here, we have 3 essential prime implicants by using the K-map representation.

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