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3.14) Express each of the following functions by minterm canonical formula witho

ID: 1922080 • Letter: 3

Question

3.14) Express each of the following functions by minterm canonical formula without first constructing a truth table

a. f(x,y,z) = x'(y'+z)+z'

b. f(x,y,z) = (x+y')(x+z)

3.17) Transform each of the following canonical expressions into its other canonical form notation

a. f(w,x,y,z) = m(0,1,2,3,7,9,11,12,15)

c. f(x,y,z) = m(1,3,5)

3.14) Express each of the following functions by minterm canonical formula without first constructing a truth table a. f(x,y,z) = x'(y'+z)+z' b. f(x,y,z) = (x+y')(x+z) 3.17) Transform each of the following canonical expressions into its other canonical form notation a. f(w,x,y,z) = ?m(0,1,2,3,7,9,11,12,15) b. f(w,x,y,z) = Pi M(3,4) Pi M(0,2,5,6,7,8,9,11,12) c. f(x,y,z) = Sigma m(1,3,5) d. f(x,y,z) =

Explanation / Answer

3.14

A) m(0,1,2,3,4,6)

B) m(1,2,3)

Conver to SOP by taking the complement = x'y+x'z

3.17
A) F(w,x,y,z)=M(4,5,6,8,10,13,14)

B) F(w,x,y,z)=m(1,3,4,10,13,14,15)

C)F(x,y,z) = M(0,2,4,6,7)

D)F(x,y,z) = m(0,1,2,5,6,7)

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