Logische Verknüpfungen: Unterschied zwischen den Versionen
Aus der Mikrocontroller.net Artikelsammlung, mit Beiträgen verschiedener Autoren (siehe Versionsgeschichte)
(→NOR) |
(→XNOR) |
||
(46 dazwischenliegende Versionen von 19 Benutzern werden nicht angezeigt) | |||
Zeile 1: | Zeile 1: | ||
====UND==== | ====UND==== | ||
<font size="9"></FONT>(Konjunktion) | |||
:<math>x = a \wedge b</math> | :<math>x = a \wedge b</math> | ||
<table border="0"> | <table border="0"> | ||
<tr> | <tr> | ||
<td>[[Bild:AND.png]]</td> | |||
<td> | |||
<td> | <table border="1" style="width:200px"> | ||
< | <tr> | ||
<td> '''a''' </td> | |||
<td> '''b''' </td> | |||
<td> '''x''' </td> | |||
</tr> | |||
<tr> | |||
<td>0</td> | |||
<td>0</td> | |||
<td>0</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> | |||
</tr> | |||
</table> | |||
</td> | |||
</tr> | </tr> | ||
</table> | </table> | ||
Zeile 47: | Zeile 45: | ||
Verknüpfung (Disjunktion) | Verknüpfung (Disjunktion) | ||
:< | :<math>x = a \vee b</math> | ||
<table border="0"> | <table border="0" > | ||
<tr> | <tr> | ||
<td> | <td>[[Bild:ODER.png]]</td> | ||
<td> | <td> | ||
< | <table border="1" style="width:200px"> | ||
<tr> | <tr> | ||
<td> '''a''' </td> | <td> '''a''' </td> | ||
Zeile 90: | Zeile 87: | ||
:<math>x = \overline{a}</math> | :<math>x = \overline{a}</math> | ||
<table border="0"> | |||
<tr> | |||
<td>[[Bild:NOT.png]]</td> | |||
<td> | |||
<table border="1" style="width:200px"> | |||
<tr> | |||
<td> '''a''' </td> | |||
<td> '''x''' </td> | |||
</tr> | |||
<tr> | |||
<td>0</td> | |||
<td>1</td> | |||
</tr> | |||
<tr> | |||
<td>1</td> | |||
<td>0</td> | |||
</tr> | |||
</table> | |||
</td></tr> | |||
</table> | |||
----- | |||
====NAND==== | ====NAND==== | ||
Zeile 99: | Zeile 118: | ||
<table border="0"> | <table border="0"> | ||
<tr> | <tr> | ||
<td> | <td>[[Bild:NAND.png]]</td> | ||
<td> | <td> | ||
<table border="1"> | <table border="1" style="width:200px"> | ||
<tr> | <tr> | ||
<td> '''a''' </td> | <td> '''a''' </td> | ||
Zeile 137: | Zeile 155: | ||
Verknüpfung (Konjunktion) | Verknüpfung (Konjunktion) | ||
:< | :<math>x = \overline{a \vee b}</math> | ||
< | |||
<table border="0"> | |||
<tr> | <tr> | ||
> | <td>[[Bild:NOR.png]]</td> | ||
<td> | <td> | ||
<table border="1"> | <table border="1" style="width:200px"> | ||
<tr> | <tr> | ||
<td> '''a''' </td> | <td> '''a''' </td> | ||
Zeile 151: | Zeile 167: | ||
<td> '''x''' </td> | <td> '''x''' </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>0</td> | <td>0</td> | ||
<td>0</td> | <td>0</td> | ||
Zeile 157: | Zeile 173: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>0</td> | <td>0</td> | ||
<td>1</td> | <td>1</td> | ||
<td>0</td> | <td>0</td> | ||
Zeile 182: | Zeile 198: | ||
:<math>x = (a \wedge \overline{b}) \vee (\overline{a} \wedge b)</math> | :<math>x = (a \wedge \overline{b}) \vee (\overline{a} \wedge b)</math> | ||
<table border="0"> | |||
<tr> | |||
<td>[[Bild:XOR.png]]</td> | |||
<td> | |||
<table border="1" style="width:200px"> | |||
<tr> | |||
<td> '''a''' </td> | |||
<td> '''b''' </td> | |||
<td> '''x''' </td> | |||
</tr> | |||
<tr> | |||
<td>0</td> | |||
<td>0</td> | |||
<td>0</td> | |||
</tr> | |||
<tr> | |||
<td>0</td> | |||
<td>1</td> | |||
<td>1</td> | |||
</tr> | |||
<tr> | |||
<td>1</td> | |||
<td>0</td> | |||
<td>1</td> | |||
</tr> | |||
<tr> | |||
<td>1</td> | |||
<td>1</td> | |||
<td>0</td> | |||
</tr> | |||
</table> | |||
</td></tr> | |||
</table> | |||
----- | |||
====XNOR==== | |||
Exklusiv-NOR-Verknüpfung (Äquivalenz) | |||
:<math>x = (a \wedge b) \vee (\overline{a} \wedge \overline{b})</math> | |||
<table border="0"> | |||
<tr> | <tr> | ||
<td> | <td>[[Bild:XNOR.png]]</td> | ||
<td> | <td> | ||
<table border="1"> | <table border="1" style="width:200px"> | ||
<tr> | <tr> | ||
<td> '''a''' </td> | <td> '''a''' </td> |
Aktuelle Version vom 8. Februar 2021, 07:14 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]
|