Let f(w, x, y, z) = Q M(4, 9, 12, 13, 14) and d(w, x, y,...

Question

Question

Let f(w, x, y, z) = Q M(4, 9, 12, 13, 14) and d(w, x, y, z) = P m(5, 6, 11, 15). {[d(w, x, y, z) defines the don’t care conditions of f}.

(a) (10pts) Find the minimal SOP of f.

(b) (10pts) Find the minimal POS of f.

(c) (20pts) Design a circuit from the minimal SOP of f. The circuit should contain only NAND gates

engineering Computer-Science

Answer 1

Answer #1

a)

The minimal SOP of f = w’x’+x’z’+yz

b)

The minimal POS of f = (x’+y)(w’+z’)(x'+z)

c) Given f = w’x’+x’z’+yz

(f')' = [( w’x’+x’z’+yz)']'

f = [( w’x’)' (x’z’)' (yz)']'

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Answer 2

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