MUL (Ternary Gate): Difference between revisions
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<big><b> | <big><b>Multiply</b></big> | ||
<b>Ternary XOR</b> | |||
== Uses == | == Uses == | ||
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Useful as a controllable Buffer or [[NEG (Ternary Gate)|Negate]]. | Useful as a controllable Buffer or [[NEG (Ternary Gate)|Negate]]. | ||
Used to toggle between add and subtract modes within an [[Adder (BCT)|Adder]]. | |||
Used in ternary [[Multiply (Ternary)|Multiply.]] | |||
== Truth Tables == | == Truth Tables == | ||
=== | === MUL === | ||
<div class="tt"> | <div class="tt"> | ||
<table class="tt"> | <table class="tt"> | ||
<tr> | <tr> | ||
<td class="tt_br tt_bb" colspan="2" rowspan="2"> | <td class="tt_br tt_bb" colspan="2" rowspan="2">MUL</td> | ||
<td colspan="3" class="tce"><b>B</b></td> | <td colspan="3" class="tce"><b>B</b></td> | ||
</tr> | </tr> | ||
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<td rowspan="3"><b>A</b></td> | <td rowspan="3"><b>A</b></td> | ||
<td class="tt_r tt_br">-</td> | <td class="tt_r tt_br">-</td> | ||
<td class="tt_b">+</td> | |||
<td class="tt_g">0</td> | |||
<td class="tt_r">-</td> | <td class="tt_r">-</td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
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<tr> | <tr> | ||
<td class="tt_b tt_br">+</td> | <td class="tt_b tt_br">+</td> | ||
<td class="tt_r">-</td> | |||
<td class="tt_g">0</td> | |||
<td class="tt_b">+</td> | <td class="tt_b">+</td> | ||
</tr> | </tr> | ||
</table> | </table> | ||
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<table class="tt"> | <table class="tt"> | ||
<tr> | <tr> | ||
<td colspan="3"> | <td colspan="3">MUL</td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
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<td class="tt_r">-</td> | <td class="tt_r">-</td> | ||
<td class="tt_r">-</td> | <td class="tt_r">-</td> | ||
<td class="tt_bl | <td class="tt_bl tt_b">+</td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
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<td class="tt_r">-</td> | <td class="tt_r">-</td> | ||
<td class="tt_b">+</td> | <td class="tt_b">+</td> | ||
<td class="tt_bl | <td class="tt_bl tt_r">-</td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
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<td class="tt_b">+</td> | <td class="tt_b">+</td> | ||
<td class="tt_r">-</td> | <td class="tt_r">-</td> | ||
<td class="tt_bl | <td class="tt_bl tt_r">-</td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
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<td class="tt_b">+</td> | <td class="tt_b">+</td> | ||
<td class="tt_b">+</td> | <td class="tt_b">+</td> | ||
<td class="tt_bl | <td class="tt_bl tt_b">+</td> | ||
</tr> | </tr> | ||
</table> | </table> | ||
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<hr /> | <hr /> | ||
=== | === NMUL === | ||
<div class="tt"> | <div class="tt"> | ||
<table class="tt"> | <table class="tt"> | ||
<tr> | <tr> | ||
<td class="tt_br tt_bb" colspan="2" rowspan="2"> | <td class="tt_br tt_bb" colspan="2" rowspan="2">NMUL</td> | ||
<td colspan="3" class="tce"><b>B</b></td> | <td colspan="3" class="tce"><b>B</b></td> | ||
</tr> | </tr> | ||
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<td rowspan="3"><b>A</b></td> | <td rowspan="3"><b>A</b></td> | ||
<td class="tt_r tt_br">-</td> | <td class="tt_r tt_br">-</td> | ||
<td class="tt_r">-</td> | |||
<td class="tt_g">0</td> | |||
<td class="tt_b">+</td> | <td class="tt_b">+</td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
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<tr> | <tr> | ||
<td class="tt_b tt_br">+</td> | <td class="tt_b tt_br">+</td> | ||
<td class="tt_b">+</td> | |||
<td class="tt_g">0</td> | |||
<td class="tt_r">-</td> | <td class="tt_r">-</td> | ||
</tr> | </tr> | ||
</table> | </table> | ||
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<table class="tt"> | <table class="tt"> | ||
<tr> | <tr> | ||
<td colspan="3"> | <td colspan="3">NMUL</td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
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<td class="tt_r">-</td> | <td class="tt_r">-</td> | ||
<td class="tt_r">-</td> | <td class="tt_r">-</td> | ||
<td class="tt_bl | <td class="tt_bl tt_r">-</td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
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<td class="tt_r">-</td> | <td class="tt_r">-</td> | ||
<td class="tt_b">+</td> | <td class="tt_b">+</td> | ||
<td class="tt_bl | <td class="tt_bl tt_b">+</td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
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<td class="tt_b">+</td> | <td class="tt_b">+</td> | ||
<td class="tt_r">-</td> | <td class="tt_r">-</td> | ||
<td class="tt_bl | <td class="tt_bl tt_b">+</td> | ||
</tr> | </tr> | ||
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<td class="tt_b">+</td> | <td class="tt_b">+</td> | ||
<td class="tt_b">+</td> | <td class="tt_b">+</td> | ||
<td class="tt_bl | <td class="tt_bl tt_r">-</td> | ||
</tr> | </tr> | ||
</table> | </table> | ||
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==References== | ==References== | ||
* [https://homepage.cs.uiowa.edu/~dwjones/ternary/ The Ternary Manifesto by Douglas W. Jones] | * [https://homepage.cs.uiowa.edu/~dwjones/ternary/logic.shtml The Ternary Manifesto by Douglas W. Jones - Standard Ternary Logic] | ||
[[Category:Ternary]] | [[Category:Ternary]] | ||
[[Category:Logic_Gates]] | [[Category:Logic_Gates]] | ||
Latest revision as of 14:30, 10 February 2026
Multiply
Ternary XOR
Uses
Useful as a controllable Buffer or Negate.
Used to toggle between add and subtract modes within an Adder.
Used in ternary Multiply.
Truth Tables
MUL
| MUL | B | |||
| - | 0 | + | ||
| A | - | + | 0 | - |
| 0 | 0 | 0 | 0 | |
| + | - | 0 | + | |
| MUL | ||
| A | B | Y |
| - | - | + |
| - | 0 | 0 |
| - | + | - |
| 0 | - | 0 |
| 0 | 0 | 0 |
| 0 | + | 0 |
| + | - | - |
| + | 0 | 0 |
| + | + | + |
NMUL
| NMUL | B | |||
| - | 0 | + | ||
| A | - | - | 0 | + |
| 0 | 0 | 0 | 0 | |
| + | + | 0 | - | |
| NMUL | ||
| A | B | Y |
| - | - | - |
| - | 0 | 0 |
| - | + | + |
| 0 | - | 0 |
| 0 | 0 | 0 |
| 0 | + | 0 |
| + | - | + |
| + | 0 | 0 |
| + | + | - |
