Four of the minterms of the completely specified function f(a, b, c, d) are m0, m1, m4, and m5.

(a) Specify additional minterms for f so that f has eight prime implicants with two literals and no other prime implicants.
(b) For each prime implicant, give its algebraic

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Complete Question

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Answer:

a) The required additional minterms  for f so that f has eight primary implicants with two literals and no other prime implicant are [tex]m_{2},m_{3},m_{7},m_{8},m_{11},m_{12},m_{13},m_{14}[/tex] and [tex]m_{15}[/tex]

b) The essential prime implicant are [tex]c' d',a'b',ab[/tex] and [tex]cd[/tex]

c) The minimum sum-of-product expression for f are

                  [tex]a'b' +ab +c'd'+cd+a'c',\\ a'b'+ab+c'd'+cd+a'd,\\a'b'+ab+c'd'+cd+bc' and \\ a'b'+ab+c'd' +cd+bd[/tex]

Explanation:

The explanation is shown on the second third and fourth image

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