Logische Verknüpfungen: Unterschied zwischen den Versionen
Aus der Mikrocontroller.net Artikelsammlung, mit Beiträgen verschiedener Autoren (siehe Versionsgeschichte)
(→UND) |
Keine Bearbeitungszusammenfassung |
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Zeile 1: | Zeile 1: | ||
==== | ====UND==== | ||
<font size="9"></FONT>(Konjunktion) | <font size="9"></FONT>(Konjunktion) | ||
Zeile 233: | Zeile 233: | ||
----- | ----- | ||
==== | ====XNOR==== | ||
Exklusiv-NOR-Verknüpfung (Äquivalenz) | Exklusiv-NOR-Verknüpfung (Äquivalenz) | ||
Zeile 244: | Zeile 244: | ||
<table border="1"> | <table border="1"> | ||
<tr> | <tr> | ||
<td | <td> '''a''' </td> | ||
<td> '''b''' </td> | |||
<td> '''x''' </td> | |||
</tr> | |||
<tr> | <tr> | ||
<td>0</td> | <td>0</td> | ||
<td>0</td> | |||
<td>1</td> | |||
</tr> | |||
<tr> | |||
<td>0</td> | |||
<td>1</td> | |||
<td>0</td> | |||
</tr> | |||
<tr> | |||
<td>1</td> | |||
<td>0</td> | |||
<td>0</td> | |||
</tr> | |||
<tr> | |||
<td>1</td> | <td>1</td> | ||
<td>1</td> | |||
<td>1</td> | |||
</tr> | |||
</table> | |||
</td></tr> | |||
</table> | |||
----- | |||
'''Sperrgatter''' (Inhibition) | |||
:<math>x = \overline{a} \wedge b</math> | |||
<table border="0"> | |||
<tr> | |||
<td>[[Bild:Inhibition.png]]</td> | |||
<td> | |||
<table border="1"> | |||
<tr> | |||
<td> '''a''' </td> | |||
<td> '''b''' </td> | |||
<td> '''x''' </td> | |||
</tr> | |||
<tr> | <tr> | ||
<td>0</td> | |||
<td>0</td> | |||
<td>0</td> | |||
</tr> | |||
<tr> | |||
<td>0</td> | |||
<td>1</td> | <td>1</td> | ||
<td>1</td> | |||
</tr> | |||
<tr> | |||
<td>1</td> | |||
<td>0</td> | |||
<td>0</td> | |||
</tr> | |||
<tr> | |||
<td>1</td> | <td>1</td> | ||
<td>1</td> | <td>1</td> | ||
<td>0</td> | |||
</tr> | </tr> | ||
</table> | </table> | ||
Zeile 259: | Zeile 313: | ||
----- | ----- | ||
'''Subjunktion''' (Implikation) | |||
:<math>x = \overline{a} \vee b</math> | |||
<table border="0"> | |||
<tr> | |||
<td>[[Bild:Implikation.png]]</td> | |||
<td> | |||
<table border="1"> | |||
<tr> | |||
<td> '''a''' </td> | |||
<td> '''b''' </td> | |||
<td> '''x''' </td> | |||
</tr> | |||
<tr> | |||
<td>0</td> | |||
<td>0</td> | |||
<td>1</td> | |||
</tr> | </tr> | ||
<tr> | <tr> |
Version vom 11. April 2013, 20:57 Uhr
UND
(Konjunktion)
- [math]\displaystyle{ x = a \wedge b }[/math]
|
ODER
Verknüpfung (Disjunktion)
- [math]\displaystyle{ x = a \vee b }[/math]
|
NICHT
Verknüpfung (Negation)
- [math]\displaystyle{ x = \overline{a} }[/math]
|
NAND
Verknüpfung
- [math]\displaystyle{ x = \overline{a \wedge b} }[/math]
|
NOR
Verknüpfung (Konjunktion)
- [math]\displaystyle{ x = \overline{a \vee b} }[/math]
|
XOR
Exklusiv-ODER-Verknüpfung (Antivalenz)
- [math]\displaystyle{ x = (a \wedge \overline{b}) \vee (\overline{a} \wedge b) }[/math]
|
XNOR
Exklusiv-NOR-Verknüpfung (Äquivalenz)
- [math]\displaystyle{ x = (a \wedge b) \vee (\overline{a} \wedge \overline{b}) }[/math]
|
Sperrgatter (Inhibition)
- [math]\displaystyle{ x = \overline{a} \wedge b }[/math]
|
Subjunktion (Implikation)
- [math]\displaystyle{ x = \overline{a} \vee b }[/math]
|