Table 1.
The truth table for the AND gate in digital systems and its corresponding representation in our dual-rail acid-base method
| Digital AND Gate | Dual-rail acid-base operation | |||||
|---|---|---|---|---|---|---|
| In 1 | In 2 | Out | Input 1 | Input 2 | Bias | Output |
| 0 | 0 | 0 | Base/Acid | Base/Acid | Base/Acid | Base/Acid |
| 0 | 1 | 0 | Base/Acid | Acid/Base | Base/Acid | Base/Acid |
| 1 | 0 | 0 | Acid/Base | Base/Acid | Base/Acid | Base/Acid |
| 1 | 1 | 1 | Acid/Base | Acid/Base | Base/Acid | Acid/Base |
The first two columns correspond to the input permutations. The following fourth and fifth columns represent the acid-base encoding. The sixth column represents the constant bias input used with the AND gate. The last columns on either side show the result (output) of mixing the inputs in the acid-base AND gate.