Four of the minterms of an incompletely specified function

Chapter 5, Problem 5.50

(choose chapter or problem)

Four of the minterms of an incompletely specified function f(a, b, c, d) are \(m_0\), \(m_1\), \(m_4\), and \(m_5\).

(a) Specify additional minterms and don’t-cares for f so that f has five prime implicants with two literals and no other prime implicants and, in addition, f has one prime implicate with one literal and two prime implicates with two literals.

(b) For each prime implicant, give its algebraic representation and specify whether it is an essential prime implicant.

(c) Determine all minimum sum-of-products expressions for f.

(d) For each prime implicate, give its algebraic representation and specify whether it is an essential prime implicate.

(e) Determine all minimum product-of-sums expressions for f.

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