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Consider the minterm list form of a Boolean function F given below.
F(P, Q, R, S) = Σm(0, 2, 5, 7, 9, 11) + d(3, 8, 10, 12, 14)
Here, m denotes a minterm and d denotes a don't care term. The number of essential prime implicants of the function F is ______ . 
Note: This was Numerical Type question.
  • a)
    1
  • b)
    2
  • c)
    3
  • d)
    4
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Consider the minterm list form of a Boolean function F given below.F(P...
Essential Prime Implicants are those subcubes (groups) which cover atleast one minterm that can’t be covered by any other prime implicant. Essential prime implicants (EPI) are those prime implicants which always appear in final solution.

There are three prime implicants P'QS, PQ' and Q'S'. Also, all of them are essential. Therefore, the number of essential prime implicants of function F is 3.
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Most Upvoted Answer
Consider the minterm list form of a Boolean function F given below.F(P...
M(0, 1, 2, 4, 5, 6, 8, 9, 10, 11, 13, 14)

This means that the Boolean function F is expressed as the logical OR of the minterms corresponding to the binary values of the input variables P, Q, R, and S that make the function output a logic 1. The minterm list form is a way to represent Boolean functions that is useful in simplification and optimization of logic circuits.
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Consider the minterm list form of a Boolean function F given below.F(P, Q, R, S) = Σm(0, 2, 5, 7, 9, 11) + d(3, 8, 10, 12, 14)Here, m denotes a minterm and d denotes a don't care term. The number of essential prime implicants of the function F is ______ .Note:This was Numerical Type question.a)1b)2c)3d)4Correct answer is option 'C'. Can you explain this answer?
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