Question

Using K-map find the prime implicants (PI) and the essential prime implicants (EPI) of the following logic functions: 4) f(A,B,C,D)=∑m(1,2,4,5,6,7,12,14) 5) f(A,B,C,D)=∑m(0,5,10,11,12,13,15) 6) f(A,B,C,D)=∑m(0,1,2,4,5,10,11,13,15)

Answer 1

Using K-maps to find the prime implicants and essential prime implicants of logic functions.

Step-by-step explanation:

Using K-maps, we can find the prime implicants (PI) and essential prime implicants (EPI) for different logic functions. Let's go through each given function:

Function 4: f(A,B,C,D) = ∑m(1,2,4,5,6,7,12,14)

Using the K-map, we can find the prime implicants: 1, 2, 4, 5, 6, 7. The essential prime implicants are: 1, 2, 4.

Function 5: f(A,B,C,D) = ∑m(0,5,10,11,12,13,15)

Prime implicants: 0, 10, 11, 12, 13, 15. Essential prime implicants: 0, 10.

Function 6: f(A,B,C,D) = ∑m(0,1,2,4,5,10,11,13,15)

Prime implicants: 0, 1, 2, 4, 5, 11, 13, 15. Essential prime implicants: 0, 1, 2.