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46 lines
2.1 KiB
46 lines
2.1 KiB
\item \self Compute the propositional formula of the following circuit.
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\tikzstyle{branch}=[fill,shape=circle,minimum size=3pt,inner sep=0pt]
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\begin{tikzpicture}[label distance=2mm]
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\node (a) at (0,0) {$a$};
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\node (b) at (0,-1) {$b$};
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\node (c) at (0,-2.5) {$c$};
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\node (d) at (0,-3.5) {$d$};
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\node (z) at (13.5,-1.5) {$z$};
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\node (am) at (2,0) {};
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\node (not1m) at (3,-1) {};
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\node (not2m) at (3,-2.5) {};
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\node (dm) at (2,-3.5) {};
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\node (bm) at (1,-1) {};
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\node (bm2) at (7,-1.875) {};
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\node (not3m) at (7,-2.5) {};
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\node (or1m) at (9,-.5) {};
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\node (and1m) at (9,-2) {};
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\node[not gate US, draw, logic gate inputs=n] at ($(2,-1)$) (not1) {\tiny NOT};
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\node[not gate US, draw, logic gate inputs=n] at ($(2,-2.5)$) (not2) {\tiny NOT};
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\node[or gate US, draw, logic gate inputs=nn] at ($(4,-.5)$) (or1) {\tiny OR};
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\node[xor gate US, draw, logic gate inputs=nn] at ($(4,-3)$) (xor1) {\tiny XOR};
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\node[not gate US, draw, logic gate inputs=n] at ($(6,-3)$) (not3) {\tiny NOT};
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\node[and gate US, draw, logic gate inputs=nn] at ($(8,-2)$) (and1) {\tiny AND};
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\node[or gate US, draw, logic gate inputs=nn] at ($(10,-1.5)$) (or2) {\tiny OR};
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\node[not gate US, draw, logic gate inputs=n] at ($(12,-1.5)$) (not4) {\tiny NOT};
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\draw (a.east) -| (am.center) |- (or1.input 1);
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\draw (b.east) -- (not1.input);
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\draw (not1.output) -| (not1m.center) node[below] {$r$} |- (or1.input 2);
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\draw (c.east) -- (not2.input);
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\draw (not2.output) -| (not2m.center) node[above] {$s$} |- (xor1.input 1);
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\draw (d.east) -| (dm.center) |- (xor1.input 2);
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\draw (b.east) -| (bm.center) node[circle, fill,inner sep=2pt] {} |- (bm2.center) node[above] {$u$} |- (and1.input 1);
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\draw (xor1.output) -- node[below] {$t$} (not3.input);
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\draw (not3.output) -| node[below] {$v$} (not3m.center) |- (and1.input 2);
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\draw (or1.output) -| (or1m.center) node[above] {$w$} |- (or2.input 1);
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\draw (and1.output) -| (and1m.center) node[below] {$x$} |- (or2.input 2);
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\draw (or2.output) -- node[below] {$y$} (not4.input);
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\draw (not4.output) -- (z);
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\end{tikzpicture}
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