Answer: Use a K-map to find a minimal expansion as a

Chapter , Problem 14E

(choose chapter or problem)

Use a K-map to find a minimal expansion as a Boolean sum of Boolean products of each of these functions in the variables \(w, x, y\), and \(z\).

a) \(w x y z+w x \bar{y} z+w x \bar{y} \bar{z}+w \bar{x} y \bar{z}+w \bar{x} \bar{y} z\)

b) \(w x y \bar{z}+w x \bar{y} z+w \bar{x} y z+\bar{w} x \bar{y} z+\bar{w} \bar{x} y \bar{z}+\bar{w} \bar{x} \bar{y} z\)

c) \(w x y z+w x y \bar{z}+w x \bar{y} z+w \bar{x} \bar{y} z+w \bar{x} \bar{y} \bar{z}+ \bar{w} x \bar{y} z+\bar{w} \bar{x} y \bar{z}+\bar{w} \bar{x} \bar{y} z\)

d) \(w x y z+w x y \bar{z}+w x \bar{y} z+w \bar{x} y z+w \bar{x} y \bar{z}+\bar{w} x y z+\bar{w} \bar{x} y z+\bar{w} \bar{x} y \bar{z}+\bar{w} \bar{x} \bar{y} z\)

Equation Transcription:

 

 


Text Transcription:

w,x,y

z

wxyz+wxy^-z+wxy^-z^-+wx^-yz^-+wx^-y^-z

wxyz^-+wxy^-z+wx^-yz+w^-xy^-z+w^-x^-yz^-+w^-x^-y^-z

wxyz+wxyz^-+wxy^-z+wx^-y^-z+wx^-y^-z^-+ w^-xy^-z+w^-x^-yz^-+w^-x^-y^-z

wxyz+wxyz^-+wxy^-z+wx^-yz+wx^-yz^-+ w^-xyz+w^-x^-yz+w^-x^-yz^-+w^-x^-y^-z

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