Complete Question
The complete question is shown on the first uploaded image
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