Given f(w,x,y,z) = ∑m(0,1,2,3,7,8,10) + ∑d(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. f = (w’ + z’)(x’ + z)
B. f = (w’ + z)(x + z)
C. f = (w + z)(x’ + z)
D. f = (w + z’)(x’ + z)
Answer:A
Given f(w,x,y,z) = ∑m(0,1,2,3,7,8,10) + ∑d(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. f = (w’ + z’)(x’ + z) B. f = (w’ + z)(x + z) C. f = (w + z)(x’ + z) D. f = (w + z’)(x’ + z)