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https://www.mikrocontroller.net/index.php?title=Logische_Verkn%C3%BCpfungen&diff=53466
Logische Verknüpfungen
2010-12-10T10:13:10Z
<p>79.211.65.230: /* ODER */</p>
<hr />
<div>====UND====<br />
Verknüpfung (Konjunktion)<br />
<br />
:<math>x = a \wedge b</math><br />
<br />
<table border="0"><br />
<tr><br />
<tdWIR SIND WIEDER DA XDXD<br />
<br />
<td>wir auch<br />
<br />
<table border="0"><br />
<tr><br />
<td> ''' a ''' </td><br />
<td> ''' b ''' </td><br />
<td> | </td><br />
<td> ''' x ''' </td><br />
</tr><br />
<td>----</td><br />
<td>----</td><br />
<td>+</td><br />
<td>----</td><br />
<tr><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>0</td><br />
<td> | </td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>1</td><br />
<td> | </td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>0</td><br />
<td> | </td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>1</td><br />
<td> | </td><br />
<td>1</td><br />
</tr><br />
</table><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 />
<tdHAHAHA VIRUS AHOI!!!!!!<br />
WIR SIND DA!!<br />
UND ANDRE IST SCHWUL!!<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 />
<tdWIR BRINGEN EUCH DEN TOD<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>-</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>-</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 />
'''Sperrgatter''' (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>
79.211.65.230
https://www.mikrocontroller.net/index.php?title=Logische_Verkn%C3%BCpfungen&diff=53465
Logische Verknüpfungen
2010-12-10T10:09:38Z
<p>79.211.65.230: /* UND */</p>
<hr />
<div>====UND====<br />
Verknüpfung (Konjunktion)<br />
<br />
:<math>x = a \wedge b</math><br />
<br />
<table border="0"><br />
<tr><br />
<tdWIR SIND WIEDER DA XDXD<br />
<br />
<td>wir auch<br />
<br />
<table border="0"><br />
<tr><br />
<td> ''' a ''' </td><br />
<td> ''' b ''' </td><br />
<td> | </td><br />
<td> ''' x ''' </td><br />
</tr><br />
<td>----</td><br />
<td>----</td><br />
<td>+</td><br />
<td>----</td><br />
<tr><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>0</td><br />
<td> | </td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>1</td><br />
<td> | </td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>0</td><br />
<td> | </td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>1</td><br />
<td> | </td><br />
<td>1</td><br />
</tr><br />
</table><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 />
<tdWIR BRINGEN EUCH DEN TOD<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>-</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>-</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 />
'''Sperrgatter''' (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>
79.211.65.230
https://www.mikrocontroller.net/index.php?title=Logische_Verkn%C3%BCpfungen&diff=53464
Logische Verknüpfungen
2010-12-10T10:09:35Z
<p>79.211.65.230: /* NICHT */</p>
<hr />
<div>====UND====<br />
Verknüpfung (Konjunktion)<br />
<br />
:<math>x = a \wedge b</math><br />
<br />
<table border="0"><br />
<tr><br />
<tdWIR SIND WIEDER DA XDXD<br />
<br />
<td><br />
<table border="0"><br />
<tr><br />
<td> ''' a ''' </td><br />
<td> ''' b ''' </td><br />
<td> | </td><br />
<td> ''' x ''' </td><br />
</tr><br />
<td>----</td><br />
<td>----</td><br />
<td>+</td><br />
<td>----</td><br />
<tr><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>0</td><br />
<td> | </td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>1</td><br />
<td> | </td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>0</td><br />
<td> | </td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>1</td><br />
<td> | </td><br />
<td>1</td><br />
</tr><br />
</table><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 />
<tdWIR BRINGEN EUCH DEN TOD<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>-</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>-</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 />
'''Sperrgatter''' (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>
79.211.65.230
https://www.mikrocontroller.net/index.php?title=Logische_Verkn%C3%BCpfungen&diff=53463
Logische Verknüpfungen
2010-12-10T10:08:57Z
<p>79.211.65.230: /* UND */</p>
<hr />
<div>====UND====<br />
Verknüpfung (Konjunktion)<br />
<br />
:<math>x = a \wedge b</math><br />
<br />
<table border="0"><br />
<tr><br />
<tdWIR SIND WIEDER DA XDXD<br />
<br />
<td><br />
<table border="0"><br />
<tr><br />
<td> ''' a ''' </td><br />
<td> ''' b ''' </td><br />
<td> | </td><br />
<td> ''' x ''' </td><br />
</tr><br />
<td>----</td><br />
<td>----</td><br />
<td>+</td><br />
<td>----</td><br />
<tr><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>0</td><br />
<td> | </td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>1</td><br />
<td> | </td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>0</td><br />
<td> | </td><br />
<td>0</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>1</td><br />
<td> | </td><br />
<td>1</td><br />
</tr><br />
</table><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> '''b''' </td><br />
<td> '''x''' </td><br />
</tr><br />
<tr><br />
<td>0</td><br />
<td>-</td><br />
<td>1</td><br />
</tr><br />
<tr><br />
<td>1</td><br />
<td>-</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 />
'''Sperrgatter''' (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>
79.211.65.230