K-Map
August 28, 2024
Pointers
August 28, 2024
K-Map
August 28, 2024
Pointers
August 28, 2024

K-Map

Question 17

Given f(w,x,y,z) = Σm(0,1,2,3,7,8,10) + Σd(5,6,11,15), where d represents the don’t-care condition in Karnaugh maps. Which of the following is a minimum product-of-sums (POS) form of f(w,x,y,z)?

A
B
C
D
Question 17 Explanation: 
f(w,x,y,z) = Σm(0,1,2,3,7,8,10) + Σd(5,6,11,15)
K-Map for the function f is

Consider maxterms in K-map to represent function in product-of-sums (POS) form
f(w,x,y,z) = (w’ + z’)(x’ + z)
Correct Answer: A
Question 17 Explanation: 
f(w,x,y,z) = Σm(0,1,2,3,7,8,10) + Σd(5,6,11,15)
K-Map for the function f is

Consider maxterms in K-map to represent function in product-of-sums (POS) form
f(w,x,y,z) = (w’ + z’)(x’ + z)

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