| Name |
Symbols and Equations |
Truth Table |
Description |
| AND |
 |
 |
A |
B |
X |
All inputs must be present for output. |
| 1 |
1 |
1 |
| 1 |
0 |
0 |
| 0 |
1 |
0 |
| 0 |
0 |
0 |
| OR |
 |
 |
A |
B |
X |
Any input must be present for output. |
| 1 |
1 |
1 |
| 1 |
0 |
1 |
| 0 |
1 |
1 |
| 0 |
0 |
0 |
| NOT (inverter) |
 |
 |
A |
X |
|
Negates (inverts) input or output. |
| 1 |
0 |
|
| 0 |
1 |
|
| NAND |
 |
 |
A |
B |
X |
All inputs must be absent for output. |
| 1 |
1 |
0 |
| 1 |
0 |
1 |
| 0 |
1 |
1 |
| 0 |
0 |
1 |
| NOR |
 |
 |
A |
B |
X |
Any input must be absent for output. |
| 1 |
1 |
0 |
| 1 |
0 |
1 |
| 0 |
1 |
1 |
| 0 |
0 |
1 |
| Exclusive OR (XOR) |
 |
|
A |
B |
X |
Only one input must be present for output. |
| 1 |
1 |
0 |
| 1 |
0 |
1 |
| 0 |
1 |
1 |
| 0 |
0 |
0 |
| Exclusive NOR (XNOR) |
 |
|
A |
B |
X |
Neither or both inputs must be present for output. |
| 1 |
1 |
1 |
| 1 |
0 |
0 |
| 0 |
1 |
0 |
| 0 |
0 |
1 |
