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Finish exercice

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flyingscorpio@arch-desktop 2021-09-18 19:27:16 +02:00
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4
logique-programmable/exercices/main.tex
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@ -98,7 +98,9 @@
&= \overline{ac + ad} \cdot a\bar{c} + b\bar{c}\bar{d} \\ &= \overline{ac + ad} \cdot a\bar{c} + b\bar{c}\bar{d} \\
&= \overline{ac} \cdot \overline{ad} \cdot a\bar{c} + b\bar{c}\bar{d} \\ &= \overline{ac} \cdot \overline{ad} \cdot a\bar{c} + b\bar{c}\bar{d} \\
&= (\bar{a} + \bar{c}) \cdot (\bar{a} + \bar{d}) \cdot a\bar{c} + b\bar{c}\bar{d} \\ &= (\bar{a} + \bar{c}) \cdot (\bar{a} + \bar{d}) \cdot a\bar{c} + b\bar{c}\bar{d} \\
% TODO: finish &= (\bar{a} + \bar{a}\bar{d} + \bar{a}\bar{c} + \bar{c}\bar{d}) \cdot a\bar{c} + b\bar{c}\bar{d} \\
&= a\bar{c}\bar{d} + b\bar{c}\bar{d} \\
&= (a + b) \cdot \bar{c}\bar{d} \\
\end{align*} \end{align*}
\end{enumerate} \end{enumerate}