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

Chapter , Problem 12E

(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 $x, y$, and $z$.

a) $\bar{x} y z+\bar{x} \bar{y} z$

b) $x y z+x y \bar{z}+\bar{x} y z+\bar{x} y \bar{z}$

c) $x y \bar{z}+x \bar{y} z+x \bar{y} \bar{z}+\bar{x} y z+\bar{x} \bar{y} z$

d) \9x y z+x \bar{y} z+x \bar{y} \bar{z}+\bar{x} y z+\bar{x} y \bar{z}+\bar{x} \bar{y} \bar{z}\)

Equation Transcription:

$x,y$

$z$

$x‾yz+x‾y‾z$
$xyz+xyz‾+x‾yz+x‾yz‾$
$xyz‾+xy‾z+xy‾z‾+x‾yz+x‾y‾z$
$xyz+xy‾z+xy‾z‾+x‾yz+x‾yz‾+x‾y‾z‾$

Text Transcription:

x,y

x^-yz+x^-y^-z

xyz+xyz^-+x^-yz+x^-yz^-

xyz^-+xy^-z+xy^-z^-+x^-yz+x^-y^-z

xyz+xy^-z+xy^-z^-+x‾yz+x^-yz^-+x^-y^-z^-

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