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2026-04-10T18:05:26Z
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https://www.mikrocontroller.net/index.php?title=Logische_Verkn%C3%BCpfungen&diff=75098
Logische Verknüpfungen
2013-04-11T06:45:58Z
<p>0:0:0:FFFF:84:190:109:84: /* UND */</p>
<hr />
<div>====and====<br />
<font size="9"></FONT>(Konjunktion)<br />
<br />
:<math>x = a \wedge b</math><br />
<br />
<table border="0"><br />
<tr><br />
<td>[[Bild:AND.png]]</td><br />
<td><br />
<br />
<table border="1"><br />
<tr><br />
<td> '''a''' </td><br />
<td> '''b''' </td><br />
<td> '''x''' </td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>0</td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>1</td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>0</td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>1</td><br />
<td>1</td><br />
</tr><br />
</table><br />
<br />
</td><br />
</tr><br />
</table><br />
-----<br />
<br />
====ODER====<br />
Verknüpfung (Disjunktion)<br />
<br />
:<math>x = a \vee b</math><br />
<br />
<table border="0"><br />
<tr><br />
<td>[[Bild:ODER.png]]</td><br />
<td><br />
<table border="1"><br />
<tr><br />
<td> '''a''' </td><br />
<td> '''b''' </td><br />
<td> '''x''' </td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>0</td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>1</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>0</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>1</td><br />
<td>1</td><br />
</tr><br />
</table><br />
</td></tr><br />
</table><br />
<br />
-----<br />
<br />
====NICHT====<br />
Verknüpfung (Negation)<br />
<br />
:<math>x = \overline{a}</math><br />
<br />
<table border="0"><br />
<tr><br />
<td>[[Bild:NOT.png]]</td><br />
<td><br />
<table border="1"><br />
<tr><br />
<td> '''a''' </td><br />
<td> '''x''' </td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>0</td><br />
</tr><br />
</table><br />
</td></tr><br />
</table><br />
<br />
-----<br />
<br />
====NAND====<br />
Verknüpfung<br />
<br />
:<math>x = \overline{a \wedge b}</math><br />
<br />
<table border="0"><br />
<tr><br />
<td>[[Bild:NAND.png]]</td><br />
<td><br />
<table border="1"><br />
<tr><br />
<td> '''a''' </td><br />
<td> '''b''' </td><br />
<td> '''x''' </td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>0</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>1</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>0</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>1</td><br />
<td>0</td><br />
</tr><br />
</table><br />
</td></tr><br />
</table><br />
<br />
----<br />
====NOR====<br />
Verknüpfung (Konjunktion)<br />
<br />
:<math>x = \overline{a \vee b}</math><br />
<br />
<table border="0"><br />
<tr><br />
<td>[[Bild:NOR.png]]</td><br />
<td><br />
<table border="1"><br />
<tr><br />
<td> '''a''' </td><br />
<td> '''b''' </td><br />
<td> '''x''' </td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>0</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>1</td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>0</td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>1</td><br />
<td>0</td><br />
</tr><br />
</table><br />
</td></tr><br />
</table><br />
<br />
-----<br />
<br />
====XOR====<br />
Exklusiv-ODER-Verknüpfung (Antivalenz)<br />
<br />
:<math>x = (a \wedge \overline{b}) \vee (\overline{a} \wedge b)</math><br />
<br />
<table border="0"><br />
<tr><br />
<td>[[Bild:XOR.png]]</td><br />
<td><br />
<table border="1"><br />
<tr><br />
<td> '''a''' </td><br />
<td> '''b''' </td><br />
<td> '''x''' </td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>0</td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>1</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>0</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>1</td><br />
<td>0</td><br />
</tr><br />
</table><br />
</td></tr><br />
</table><br />
<br />
-----<br />
<br />
====Summerschaltung für 3009====<br />
Exklusiv-NOR-Verknüpfung (Äquivalenz)<br />
<br />
:<math>x = (a \wedge b) \vee (\overline{a} \wedge \overline{b})</math><br />
<br />
<table border="0"><br />
<tr><br />
<td>[[Bild:XNOR.png]]</td><br />
<td><br />
<table border="1"><br />
<tr><br />
<td<br />
<tr><br />
<td>0</td><br />
<td>1</td><br />
<br />
<tr><br />
<td>1</td><br />
<td>1</td><br />
<td>1</td><br />
</tr><br />
</table><br />
</td></tr><br />
</table><br />
<br />
-----<br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>1</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>0</td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>1</td><br />
<td>1</td><br />
</tr><br />
</table><br />
</td></tr><br />
</table><br />
<br />
[[Kategorie:Grundlagen]]</div>
0:0:0:FFFF:84:190:109:84
https://www.mikrocontroller.net/index.php?title=Logische_Verkn%C3%BCpfungen&diff=75097
Logische Verknüpfungen
2013-04-11T06:45:41Z
<p>0:0:0:FFFF:84:190:109:84: /* XNOR */</p>
<hr />
<div>====UND====<br />
<font size="9"></FONT>(Konjunktion)<br />
<br />
:<math>x = a \wedge b</math><br />
<br />
<table border="0"><br />
<tr><br />
<td>[[Bild:AND.png]]</td><br />
<td><br />
<br />
<table border="1"><br />
<tr><br />
<td> '''a''' </td><br />
<td> '''b''' </td><br />
<td> '''x''' </td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>0</td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>1</td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>0</td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>1</td><br />
<td>1</td><br />
</tr><br />
</table><br />
<br />
</td><br />
</tr><br />
</table><br />
-----<br />
<br />
====ODER====<br />
Verknüpfung (Disjunktion)<br />
<br />
:<math>x = a \vee b</math><br />
<br />
<table border="0"><br />
<tr><br />
<td>[[Bild:ODER.png]]</td><br />
<td><br />
<table border="1"><br />
<tr><br />
<td> '''a''' </td><br />
<td> '''b''' </td><br />
<td> '''x''' </td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>0</td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>1</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>0</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>1</td><br />
<td>1</td><br />
</tr><br />
</table><br />
</td></tr><br />
</table><br />
<br />
-----<br />
<br />
====NICHT====<br />
Verknüpfung (Negation)<br />
<br />
:<math>x = \overline{a}</math><br />
<br />
<table border="0"><br />
<tr><br />
<td>[[Bild:NOT.png]]</td><br />
<td><br />
<table border="1"><br />
<tr><br />
<td> '''a''' </td><br />
<td> '''x''' </td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>0</td><br />
</tr><br />
</table><br />
</td></tr><br />
</table><br />
<br />
-----<br />
<br />
====NAND====<br />
Verknüpfung<br />
<br />
:<math>x = \overline{a \wedge b}</math><br />
<br />
<table border="0"><br />
<tr><br />
<td>[[Bild:NAND.png]]</td><br />
<td><br />
<table border="1"><br />
<tr><br />
<td> '''a''' </td><br />
<td> '''b''' </td><br />
<td> '''x''' </td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>0</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>1</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>0</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>1</td><br />
<td>0</td><br />
</tr><br />
</table><br />
</td></tr><br />
</table><br />
<br />
----<br />
====NOR====<br />
Verknüpfung (Konjunktion)<br />
<br />
:<math>x = \overline{a \vee b}</math><br />
<br />
<table border="0"><br />
<tr><br />
<td>[[Bild:NOR.png]]</td><br />
<td><br />
<table border="1"><br />
<tr><br />
<td> '''a''' </td><br />
<td> '''b''' </td><br />
<td> '''x''' </td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>0</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>1</td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>0</td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>1</td><br />
<td>0</td><br />
</tr><br />
</table><br />
</td></tr><br />
</table><br />
<br />
-----<br />
<br />
====XOR====<br />
Exklusiv-ODER-Verknüpfung (Antivalenz)<br />
<br />
:<math>x = (a \wedge \overline{b}) \vee (\overline{a} \wedge b)</math><br />
<br />
<table border="0"><br />
<tr><br />
<td>[[Bild:XOR.png]]</td><br />
<td><br />
<table border="1"><br />
<tr><br />
<td> '''a''' </td><br />
<td> '''b''' </td><br />
<td> '''x''' </td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>0</td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>1</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>0</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>1</td><br />
<td>0</td><br />
</tr><br />
</table><br />
</td></tr><br />
</table><br />
<br />
-----<br />
<br />
====Summerschaltung für 3009====<br />
Exklusiv-NOR-Verknüpfung (Äquivalenz)<br />
<br />
:<math>x = (a \wedge b) \vee (\overline{a} \wedge \overline{b})</math><br />
<br />
<table border="0"><br />
<tr><br />
<td>[[Bild:XNOR.png]]</td><br />
<td><br />
<table border="1"><br />
<tr><br />
<td<br />
<tr><br />
<td>0</td><br />
<td>1</td><br />
<br />
<tr><br />
<td>1</td><br />
<td>1</td><br />
<td>1</td><br />
</tr><br />
</table><br />
</td></tr><br />
</table><br />
<br />
-----<br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>1</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>0</td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>1</td><br />
<td>1</td><br />
</tr><br />
</table><br />
</td></tr><br />
</table><br />
<br />
[[Kategorie:Grundlagen]]</div>
0:0:0:FFFF:84:190:109:84
https://www.mikrocontroller.net/index.php?title=Logische_Verkn%C3%BCpfungen&diff=75096
Logische Verknüpfungen
2013-04-11T06:43:37Z
<p>0:0:0:FFFF:84:190:109:84: /* XNOR */</p>
<hr />
<div>====UND====<br />
<font size="9"></FONT>(Konjunktion)<br />
<br />
:<math>x = a \wedge b</math><br />
<br />
<table border="0"><br />
<tr><br />
<td>[[Bild:AND.png]]</td><br />
<td><br />
<br />
<table border="1"><br />
<tr><br />
<td> '''a''' </td><br />
<td> '''b''' </td><br />
<td> '''x''' </td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>0</td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>1</td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>0</td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>1</td><br />
<td>1</td><br />
</tr><br />
</table><br />
<br />
</td><br />
</tr><br />
</table><br />
-----<br />
<br />
====ODER====<br />
Verknüpfung (Disjunktion)<br />
<br />
:<math>x = a \vee b</math><br />
<br />
<table border="0"><br />
<tr><br />
<td>[[Bild:ODER.png]]</td><br />
<td><br />
<table border="1"><br />
<tr><br />
<td> '''a''' </td><br />
<td> '''b''' </td><br />
<td> '''x''' </td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>0</td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>1</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>0</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>1</td><br />
<td>1</td><br />
</tr><br />
</table><br />
</td></tr><br />
</table><br />
<br />
-----<br />
<br />
====NICHT====<br />
Verknüpfung (Negation)<br />
<br />
:<math>x = \overline{a}</math><br />
<br />
<table border="0"><br />
<tr><br />
<td>[[Bild:NOT.png]]</td><br />
<td><br />
<table border="1"><br />
<tr><br />
<td> '''a''' </td><br />
<td> '''x''' </td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>0</td><br />
</tr><br />
</table><br />
</td></tr><br />
</table><br />
<br />
-----<br />
<br />
====NAND====<br />
Verknüpfung<br />
<br />
:<math>x = \overline{a \wedge b}</math><br />
<br />
<table border="0"><br />
<tr><br />
<td>[[Bild:NAND.png]]</td><br />
<td><br />
<table border="1"><br />
<tr><br />
<td> '''a''' </td><br />
<td> '''b''' </td><br />
<td> '''x''' </td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>0</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>1</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>0</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>1</td><br />
<td>0</td><br />
</tr><br />
</table><br />
</td></tr><br />
</table><br />
<br />
----<br />
====NOR====<br />
Verknüpfung (Konjunktion)<br />
<br />
:<math>x = \overline{a \vee b}</math><br />
<br />
<table border="0"><br />
<tr><br />
<td>[[Bild:NOR.png]]</td><br />
<td><br />
<table border="1"><br />
<tr><br />
<td> '''a''' </td><br />
<td> '''b''' </td><br />
<td> '''x''' </td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>0</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>1</td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>0</td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>1</td><br />
<td>0</td><br />
</tr><br />
</table><br />
</td></tr><br />
</table><br />
<br />
-----<br />
<br />
====XOR====<br />
Exklusiv-ODER-Verknüpfung (Antivalenz)<br />
<br />
:<math>x = (a \wedge \overline{b}) \vee (\overline{a} \wedge b)</math><br />
<br />
<table border="0"><br />
<tr><br />
<td>[[Bild:XOR.png]]</td><br />
<td><br />
<table border="1"><br />
<tr><br />
<td> '''a''' </td><br />
<td> '''b''' </td><br />
<td> '''x''' </td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>0</td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>1</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>0</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>1</td><br />
<td>0</td><br />
</tr><br />
</table><br />
</td></tr><br />
</table><br />
<br />
-----<br />
<br />
====XNOR====<br />
Exklusiv-NOR-Verknüpfung (Äquivalenz)<br />
<br />
:<math>x = (a \wedge b) \vee (\overline{a} \wedge \overline{b})</math><br />
<br />
<table border="0"><br />
<tr><br />
<td>[[Bild:XNOR.png]]</td><br />
<td><br />
<table border="1"><br />
<tr><br />
<td> '''a''' </td><br />
<td> '''b''' </td><br />
<td> '''x''' </td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>0</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>1</td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>0</td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>1</td><br />
<td>1</td><br />
</tr><br />
</table><br />
</td></tr><br />
</table><br />
<br />
-----<br />
<br />
'''Ficken''' (Inhibition)<br />
<br />
:<math>x = \overline{a} \wedge b</math><br />
<br />
<table border="0"><br />
<tr><br />
<td>[[Bild:Inhibition.png]]</td><br />
<td><br />
<table border="1"><br />
<tr><br />
<td> '''a''' </td><br />
<td> '''b''' </td><br />
<td> '''x''' </td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>0</td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>1</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>0</td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>1</td><br />
<td>0</td><br />
</tr><br />
</table><br />
</td></tr><br />
</table><br />
<br />
-----<br />
<br />
'''Subjunktion''' (Implikation)<br />
<br />
:<math>x = \overline{a} \vee b</math><br />
<br />
<table border="0"><br />
<tr><br />
<td>[[Bild:Implikation.png]]</td><br />
<td><br />
<table border="1"><br />
<tr><br />
<td> '''a''' </td><br />
<td> '''b''' </td><br />
<td> '''x''' </td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>0</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>1</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>0</td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>1</td><br />
<td>1</td><br />
</tr><br />
</table><br />
</td></tr><br />
</table><br />
<br />
[[Kategorie:Grundlagen]]</div>
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