You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
33 lines
1.1 KiB
33 lines
1.1 KiB
\tikzstyle{branch}=[fill,shape=circle,minimum size=3pt,inner sep=0pt]
|
|
\begin{tikzpicture}[label distance=2mm]
|
|
\node (a) at (0,0) {$a$};
|
|
\node (b) at (0,-1) {$b$};
|
|
\node (c) at (0,-2) {$c$};
|
|
\node (z) at (6,-1) {$z$};
|
|
|
|
\node (am) at (1,0) {};
|
|
\node (bm) at (1,-1) {};
|
|
|
|
\node[and gate US, draw, logic gate inputs=nn] at ($(2,-.5)$) (and1) {\tiny AND};
|
|
\node[or gate US, draw, logic gate inputs=nn] at ($(4,-1)$) (or1) {\tiny OR};
|
|
|
|
\node (and1m) at (3,-.5) {};
|
|
\node (c1m) at (3,-2) {};
|
|
|
|
\draw (a.east) -| (am.center) |- (and1.input 1);
|
|
\draw (b.east) |- (bm.center) |- (and1.input 2);
|
|
\draw (and1.output) |- (and1m.center) node[above] {$y$} |- (or1.input 1);
|
|
\draw (c.east) |- (c1m.center) |- (or1.input 2);
|
|
\draw (or1.output) -- (z);
|
|
\end{tikzpicture}
|
|
|
|
The inputs are denoted by $a$, $b$, and $c$ and the output is denoted by $z$.
|
|
We assign temporary variable names to the inner wires; in this case we use $y$.
|
|
Using these variables, we can create the propositional formula over the inputs and the output.
|
|
%
|
|
\begin{equation*}
|
|
\begin{split}
|
|
z & = y \lor c \\
|
|
& = (a \land b) \lor c
|
|
\end{split}
|
|
\end{equation*}
|