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introduction_to_digital_systems:calc_logic_example [2021/09/17 00:07] – tfischerintroduction_to_digital_systems:calc_logic_example [2021/09/17 00:08] (current) – tfischer
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 ~~REVEAL ~~ ~~REVEAL ~~
- 
-  
----->> 
-example for a simplification with the rule for boolean algebra \\ \\ 
- 
-\begin{align*} 
-\begin{array}{ll} 
-\overline{a \lor (b \land (\bar{a} \lor c) \land 1) \lor a}        &         \\ 
-\quad\quad\quad\quad\quad\quad          & \quad\quad\quad\quad\quad\quad                  \\ 
-\end{array} 
-\end{align*} 
- 
-<<---- 
- 
----->> 
-example for a simplification with the rule for boolean algebra \\ \\ 
- 
-\begin{align*} 
-\begin{array}{ll} 
-\overline{a \lor (b \land (\bar{a} \lor c) \land 1) \lor a}        &         \\ 
-\quad\quad\quad\quad\quad\quad          & \quad\quad\quad\quad\quad\quad                  \\ 
-\end{array} 
-\end{align*} 
- 
-<<---- 
- 
----->> 
-example for a simplification with the rule for boolean algebra \\ \\ 
- 
-\begin{align*} 
-\begin{array}{ll} 
-\overline{a \lor (b \land (\bar{a} \lor c) \land 1) \lor a}        &         \\ 
-\quad\quad\quad\quad\quad\quad          & \quad\quad\quad\quad\quad\quad                  \\ 
-\end{array} 
-\end{align*} 
- 
-<<---- 
- 
----->> 
-example for a simplification with the rule for boolean algebra \\ \\ 
- 
-\begin{align*} 
-\begin{array}{ll} 
-\overline{a \lor (b \land (\bar{a} \lor c) \land 1) \lor a}        &         \\ 
-\quad\quad\quad\quad\quad\quad          & \quad\quad\quad\quad\quad\quad                  \\ 
-\end{array} 
-\end{align*} 
- 
-<<---- 
- 
----->> 
-example for a simplification with the rule for boolean algebra \\ \\ 
- 
-\begin{align*} 
-\begin{array}{ll} 
-\overline{a \lor (b \land (\bar{a} \lor c) \land 1) \lor a}        &         \\ 
-\quad\quad\quad\quad\quad\quad          & \quad\quad\quad\quad\quad\quad                  \\ 
-\end{array} 
-\end{align*} 
- 
-<<---- 
- 
----->> 
-example for a simplification with the rule for boolean algebra \\ \\ 
- 
-\begin{align*} 
-\begin{array}{ll} 
-\overline{a \lor (b \land (\bar{a} \lor c) \land 1) \lor a}        &         \\ 
-\quad\quad\quad\quad\quad\quad          & \quad\quad\quad\quad\quad\quad                  \\ 
-\end{array} 
-\end{align*} 
- 
-<<---- 
- 
----->> 
-example for a simplification with the rule for boolean algebra \\ \\ 
- 
-\begin{align*} 
-\begin{array}{ll} 
-\overline{a \lor (b \land (\bar{a} \lor c) \land 1) \lor a}        &         \\ 
-\quad\quad\quad\quad\quad\quad          & \quad\quad\quad\quad\quad\quad                  \\ 
-\end{array} 
-\end{align*} 
- 
-<<---- 
- 
----->> 
-example for a simplification with the rule for boolean algebra \\ \\ 
- 
-\begin{align*} 
-\begin{array}{ll} 
-\overline{a \lor (b \land (\bar{a} \lor c) \land 1) \lor a}        &         \\ 
-\quad\quad\quad\quad\quad\quad          & \quad\quad\quad\quad\quad\quad                  \\ 
-\end{array} 
-\end{align*} 
- 
-<<---- 
- 
----->> 
-example for a simplification with the rule for boolean algebra \\ \\ 
- 
-\begin{align*} 
-\begin{array}{ll} 
-\overline{a \lor (b \land (\bar{a} \lor c) \land 1) \lor a}        &         \\ 
-\quad\quad\quad\quad\quad\quad          & \quad\quad\quad\quad\quad\quad                  \\ 
-\end{array} 
-\end{align*} 
- 
-<<---- 
- 
----->> 
-example for a simplification with the rule for boolean algebra \\ \\ 
- 
-\begin{align*} 
-\begin{array}{ll} 
-\overline{a \lor (b \land (\bar{a} \lor c) \land 1) \lor a}        &         \\ 
-\quad\quad\quad\quad\quad\quad          & \quad\quad\quad\quad\quad\quad                  \\ 
-\end{array} 
-\end{align*} 
- 
-<<---- 
- 
----->> 
-example for a simplification with the rule for boolean algebra \\ \\ 
- 
-\begin{align*} 
-\begin{array}{ll} 
-\overline{a \lor (b \land (\bar{a} \lor c) \land 1) \lor a}        &         \\ 
-\quad\quad\quad\quad\quad\quad          & \quad\quad\quad\quad\quad\quad                  \\ 
-\end{array} 
-\end{align*} 
- 
-<<---- 
- 
----->> 
-example for a simplification with the rule for boolean algebra \\ \\ 
- 
-\begin{align*} 
-\begin{array}{ll} 
-\overline{a \lor (b \land (\bar{a} \lor c) \land 1) \lor a}        &         \\ 
-\quad\quad\quad\quad\quad\quad          & \quad\quad\quad\quad\quad\quad                  \\ 
-\end{array} 
-\end{align*} 
- 
-<<---- 
- 
----->> 
-example for a simplification with the rule for boolean algebra \\ \\ 
- 
-\begin{align*} 
-\begin{array}{ll} 
-\overline{a \lor (b \land (\bar{a} \lor c) \land 1) \lor a}        &         \\ 
-\quad\quad\quad\quad\quad\quad          & \quad\quad\quad\quad\quad\quad                  \\ 
-\end{array} 
-\end{align*} 
- 
-<<---- 
- 
----->> 
-example for a simplification with the rule for boolean algebra \\ \\ 
- 
-\begin{align*} 
-\begin{array}{ll} 
-\overline{a \lor (b \land (\bar{a} \lor c) \land 1) \lor a}        &         \\ 
-\quad\quad\quad\quad\quad\quad          & \quad\quad\quad\quad\quad\quad                  \\ 
-\end{array} 
-\end{align*} 
- 
-<<---- 
- 
----->> 
-example for a simplification with the rule for boolean algebra \\ \\ 
- 
-\begin{align*} 
-\begin{array}{ll} 
-\overline{a \lor (b \land (\bar{a} \lor c) \land 1) \lor a}        &         \\ 
-\quad\quad\quad\quad\quad\quad          & \quad\quad\quad\quad\quad\quad                  \\ 
-\end{array} 
-\end{align*} 
- 
-<<---- 
  
 ---->> ---->>