Add (Ternary): Difference between revisions
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<big><b> | <big><b>Ternary Addition</b></big> | ||
== Uses == | == Uses == | ||
Adds two inputs and a carry in together. Outputs sum and carry out. | |||
[[NEG (Ternary Gate)|Negating]] the B input will result in a subtraction. | |||
== Truth Tables == | == Truth Tables == | ||
| Line 17: | Line 21: | ||
<td class="tt_r">-</td> | <td class="tt_r">-</td> | ||
<td class="tt_r">-</td> | <td class="tt_r">-</td> | ||
<td class="tt_bl tt_r">-</td> | |||
<td class="tt_g">0</td> | |||
</tr> | |||
<tr> | |||
<td class="tt_r">-</td> | |||
<td class="tt_r">-</td> | |||
<td class="tt_g">0</td> | |||
<td class="tt_bl tt_r">-</td> | |||
<td class="tt_b">+</td> | |||
</tr> | |||
<tr> | |||
<td class="tt_r">-</td> | |||
<td class="tt_r">-</td> | |||
<td class="tt_b">+</td> | |||
<td class="tt_bl tt_g">0</td> | |||
<td class="tt_r">-</td> | |||
</tr> | |||
<tr> | |||
<td class="tt_r">-</td> | |||
<td class="tt_g">0</td> | |||
<td class="tt_r">-</td> | |||
<td class="tt_bl tt_r">-</td> | |||
<td class="tt_b">+</td> | |||
</tr> | |||
<tr> | |||
<td class="tt_r">-</td> | |||
<td class="tt_g">0</td> | |||
<td class="tt_g">0</td> | |||
<td class="tt_bl tt_g">0</td> | |||
<td class="tt_r">-</td> | |||
</tr> | |||
<tr> | |||
<td class="tt_r">-</td> | |||
<td class="tt_g">0</td> | |||
<td class="tt_b">+</td> | |||
<td class="tt_bl tt_g">0</td> | |||
<td class="tt_g">0</td> | |||
</tr> | |||
<tr> | |||
<td class="tt_r">-</td> | |||
<td class="tt_b">+</td> | |||
<td class="tt_r">-</td> | |||
<td class="tt_bl tt_g">0</td> | |||
<td class="tt_r">-</td> | |||
</tr> | |||
<tr> | |||
<td class="tt_r">-</td> | |||
<td class="tt_b">+</td> | |||
<td class="tt_g">0</td> | |||
<td class="tt_bl tt_g">0</td> | |||
<td class="tt_g">0</td> | |||
</tr> | |||
<tr> | |||
<td class="tt_r">-</td> | |||
<td class="tt_b">+</td> | |||
<td class="tt_b">+</td> | |||
<td class="tt_bl tt_g">0</td> | |||
<td class="tt_b">+</td> | |||
</tr> | |||
<tr> | |||
<td class="tt_g">0</td> | |||
<td class="tt_r">-</td> | |||
<td class="tt_r">-</td> | |||
<td class="tt_bl tt_r">-</td> | |||
<td class="tt_b">+</td> | |||
</tr> | |||
<tr> | |||
<td class="tt_g">0</td> | |||
<td class="tt_r">-</td> | |||
<td class="tt_g">0</td> | |||
<td class="tt_bl tt_g">0</td> | |||
<td class="tt_r">-</td> | |||
</tr> | |||
<tr> | |||
<td class="tt_g">0</td> | |||
<td class="tt_r">-</td> | |||
<td class="tt_b">+</td> | |||
<td class="tt_bl tt_g">0</td> | |||
<td class="tt_g">0</td> | |||
</tr> | |||
<tr> | |||
<td class="tt_g">0</td> | |||
<td class="tt_g">0</td> | |||
<td class="tt_r">-</td> | |||
<td class="tt_bl tt_g">0</td> | |||
<td class="tt_r">-</td> | |||
</tr> | |||
<tr> | |||
<td class="tt_g">0</td> | |||
<td class="tt_g">0</td> | |||
<td class="tt_g">0</td> | |||
<td class="tt_bl tt_g">0</td> | <td class="tt_bl tt_g">0</td> | ||
<td class="tt_g">0</td> | <td class="tt_g">0</td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td class="tt_g">0</td> | |||
<td class="tt_g">0</td> | |||
<td class="tt_b">+</td> | |||
<td class="tt_bl tt_g">0</td> | |||
<td class="tt_b">+</td> | |||
</tr> | |||
<tr> | |||
<td class="tt_g">0</td> | |||
<td class="tt_b">+</td> | |||
<td class="tt_r">-</td> | <td class="tt_r">-</td> | ||
<td class="tt_bl tt_g">0</td> | |||
<td class="tt_g">0</td> | |||
</tr> | |||
<tr> | |||
<td class="tt_g">0</td> | |||
<td class="tt_b">+</td> | |||
<td class="tt_g">0</td> | |||
<td class="tt_bl tt_g">0</td> | |||
<td class="tt_b">+</td> | |||
</tr> | |||
<tr> | |||
<td class="tt_g">0</td> | |||
<td class="tt_b">+</td> | |||
<td class="tt_b">+</td> | |||
<td class="tt_bl tt_b">+</td> | |||
<td class="tt_r">-</td> | |||
</tr> | |||
<tr> | |||
<td class="tt_b">+</td> | |||
<td class="tt_r">-</td> | |||
<td class="tt_r">-</td> | |||
<td class="tt_bl tt_g">0</td> | |||
<td class="tt_r">-</td> | |||
</tr> | |||
<tr> | |||
<td class="tt_b">+</td> | |||
<td class="tt_r">-</td> | |||
<td class="tt_g">0</td> | |||
<td class="tt_bl tt_g">0</td> | |||
<td class="tt_g">0</td> | |||
</tr> | |||
<tr> | |||
<td class="tt_b">+</td> | |||
<td class="tt_r">-</td> | |||
<td class="tt_b">+</td> | |||
<td class="tt_bl tt_g">0</td> | |||
<td class="tt_b">+</td> | |||
</tr> | |||
<tr> | |||
<td class="tt_b">+</td> | |||
<td class="tt_g">0</td> | |||
<td class="tt_r">-</td> | <td class="tt_r">-</td> | ||
<td class="tt_bl tt_g">0</td> | <td class="tt_bl tt_g">0</td> | ||
<td class="tt_g">0</td> | <td class="tt_g">0</td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td class="tt_b">+</td> | |||
<td class="tt_g">0</td> | |||
<td class="tt_g">0</td> | |||
<td class="tt_bl tt_g">0</td> | |||
<td class="tt_b">+</td> | |||
</tr> | |||
<tr> | |||
<td class="tt_b">+</td> | |||
<td class="tt_g">0</td> | |||
<td class="tt_b">+</td> | |||
<td class="tt_bl tt_b">+</td> | |||
<td class="tt_r">-</td> | <td class="tt_r">-</td> | ||
</tr> | |||
<tr> | |||
<td class="tt_b">+</td> | |||
<td class="tt_b">+</td> | |||
<td class="tt_r">-</td> | <td class="tt_r">-</td> | ||
<td class="tt_bl tt_g">0</td> | <td class="tt_bl tt_g">0</td> | ||
<td class="tt_b">+</td> | |||
</tr> | |||
<tr> | |||
<td class="tt_b">+</td> | |||
<td class="tt_b">+</td> | |||
<td class="tt_g">0</td> | |||
<td class="tt_bl tt_b">+</td> | |||
<td class="tt_r">-</td> | |||
</tr> | |||
<tr> | |||
<td class="tt_b">+</td> | |||
<td class="tt_b">+</td> | |||
<td class="tt_b">+</td> | |||
<td class="tt_bl tt_b">+</td> | |||
<td class="tt_g">0</td> | <td class="tt_g">0</td> | ||
</tr> | </tr> | ||
</table> | </table> | ||
</div> | </div> | ||
Latest revision as of 17:45, 10 March 2025
Ternary Addition
Uses
Adds two inputs and a carry in together. Outputs sum and carry out.
Negating the B input will result in a subtraction.
Truth Tables
| A | B | Ci | Co | S |
| - | - | - | - | 0 |
| - | - | 0 | - | + |
| - | - | + | 0 | - |
| - | 0 | - | - | + |
| - | 0 | 0 | 0 | - |
| - | 0 | + | 0 | 0 |
| - | + | - | 0 | - |
| - | + | 0 | 0 | 0 |
| - | + | + | 0 | + |
| 0 | - | - | - | + |
| 0 | - | 0 | 0 | - |
| 0 | - | + | 0 | 0 |
| 0 | 0 | - | 0 | - |
| 0 | 0 | 0 | 0 | 0 |
| 0 | 0 | + | 0 | + |
| 0 | + | - | 0 | 0 |
| 0 | + | 0 | 0 | + |
| 0 | + | + | + | - |
| + | - | - | 0 | - |
| + | - | 0 | 0 | 0 |
| + | - | + | 0 | + |
| + | 0 | - | 0 | 0 |
| + | 0 | 0 | 0 | + |
| + | 0 | + | + | - |
| + | + | - | 0 | + |
| + | + | 0 | + | - |
| + | + | + | + | 0 |
