Finding Essential Prime Implicants

1.6k views

Consider the Boolean function, F(w, x, y, z) = wy + xy + w̅xyz + w̅ x̅ y + xz + x̅y̅z̅.
Which one of the following is the complete set of essential prime implicants?
(A) w,y,xz,x̅z̅
(B) w,y,xz
(C) y,x̅y̅z̅
(D) y,xz,x̅z

After constructing the KMAP by finding out minterms, the circled terms contribute to Essential prime implicants, but i dont' see any such options, the Answer is given D

1

y,xz,x'z'
1
y,xz,x̅z is the given answer, option D

....

selected by
0

@Hira Thakur How to decide whether to take wx horizontally or vertically here?

0
Both ways are correct..

But you have to place $1s$  appropriately..

Related questions

1
481 views
2
714 views
1 vote
3
443 views
Let there are 12 minterms in a function in which 8 minterms are covered by 2 Essential Prime Implicants. Each of the remaining 4 minterms have 2 Non- Essential Prime Implicants. Then the total number of minimal expressions is Answer is 16. Can anyone provide the solution to this problem.
1 vote