Full Adder (Logic): Difference between revisions

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[[File:Full Adder Binary|thumb|alt=Logic gate layout for a binary full adder.|Binary Full Adder]]
An example where Binary and Ternary logic work the same is the Full and Half adder. The full adder layout is identical. The only difference is using each logic base's primary logic gates.
[[File:Full Adder Ternary.png|thumb|alt=Logic gate layout for a ternary full adder.|Ternary Full Adder]]
 
* XOR = SUM
* AND = CON
*   OR = ANY
 
<div style="text-align: center;">
<div style="display: inline-block;">[[File:Full_Adder_Binary.png|frame|none|alt=Logic gate layout for a binary full adder.|Binary Full Adder]]</div>
<div style="display: inline-block;">[[File:Full_Adder_Ternary.png|frame|none|alt=BCT logic gate layout for a ternary full adder.|Ternary Full Adder]]</div>
</div>
 
== Truth Tables ==
<div class="tt">
<table class="tt">
<tr>
<td class="tt_bb"><b>A</b></td>
<td class="tt_bb"><b>B</b></td>
<td class="tt_bb"><b>Ci</b></td>
<td class="tt_bl tt_bb"><b>Co</b></td>
<td class="tt_bb"><b>S</b></td>
</tr>
<tr>
<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_g">0</td>
</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_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_bl tt_g">0</td>
<td class="tt_g">0</td>
</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>
</tr>
<tr>
<td class="tt_b">+</td>
<td class="tt_b">+</td>
<td class="tt_r">-</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>
</tr>
</table>
</div>

Latest revision as of 19:57, 4 August 2025

An example where Binary and Ternary logic work the same is the Full and Half adder. The full adder layout is identical. The only difference is using each logic base's primary logic gates.

  • XOR = SUM
  • AND = CON
  •   OR = ANY
Logic gate layout for a binary full adder.
Binary Full Adder
BCT logic gate layout for a ternary full adder.
Ternary Full Adder

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
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