DHBW_AI_16/Rechnerarchitektur_Roethig
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[Rechenwerke] Korrigiere Gleichung

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Andre Meyering 2017-11-27 12:36:32 +01:00
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Kapitel/03_Rechenwerk.tex
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@ -357,7 +357,7 @@ Aber wie sieht das Schaltnetz (und die boolesche Formel) für die Berechnung von
& & \\ & & \\
c_{in_1} = c_{out_0} & = a_0\wedge b_0 & \textit{\qquad \acs{HA}} \\ c_{in_1} = c_{out_0} & = a_0\wedge b_0 & \textit{\qquad \acs{HA}} \\
c_{in_2} = c_{out_1} & = (a_1\wedge b_1)\vee(\textcolor{Blue}{c_{in_1}} \wedge (a_1\overline{b}_1\vee\overline{a}_1b_1)) & \textit{\acs{VA}} \\ c_{in_2} = c_{out_1} & = (a_1\wedge b_1)\vee(\textcolor{Blue}{c_{in_1}} \wedge (a_1\overline{b}_1\vee\overline{a}_1b_1)) & \textit{\acs{VA}} \\
& =(a_0\wedge b_1)\vee(\textcolor{Blue}{a_0\wedge b_0} \wedge(a_1\overline{b}_1\vee\overline{a}_1b_1)) & \textit{Einsetzen} \\ & =(a_1\wedge b_1)\vee(\textcolor{Blue}{a_0\wedge b_0} \wedge(a_1\overline{b}_1\vee\overline{a}_1b_1)) & \textit{Einsetzen} \\
c_{in_3} = c_{out_2} & = (a_2\wedge b_2)\vee(\textcolor{OliveGreen}{c_{in_2}} \wedge(a_2\overline{b}_2\vee\overline{a}_2b_2)) & \textit{\acs{VA}} \\ c_{in_3} = c_{out_2} & = (a_2\wedge b_2)\vee(\textcolor{OliveGreen}{c_{in_2}} \wedge(a_2\overline{b}_2\vee\overline{a}_2b_2)) & \textit{\acs{VA}} \\
& = (a_2\wedge b_2)\vee \textcolor{OliveGreen}{((a_0\wedge b_1)\vee(a_0\wedge b_0\wedge(a_1\overline{b}_1\vee\overline{a}_1b_1))} \wedge & \textit{Einsetzen} \\ & = (a_2\wedge b_2)\vee \textcolor{OliveGreen}{((a_0\wedge b_1)\vee(a_0\wedge b_0\wedge(a_1\overline{b}_1\vee\overline{a}_1b_1))} \wedge & \textit{Einsetzen} \\
& \hspace{4mm} (a_2\overline{b}_2\vee\overline{a}_2b_2)) \cdots & \\ & \hspace{4mm} (a_2\overline{b}_2\vee\overline{a}_2b_2)) \cdots & \\