| NOT | |
|---|---|
| A | ¬A |
| 1 | 0 |
| 0 | 1 |
| AND | ||
|---|---|---|
| A | B | A ∧ B |
| 1 | 1 | 1 |
| 1 | 0 | 0 |
| 0 | 1 | 0 |
| 0 | 0 | 0 |
| OR | ||
|---|---|---|
| A | B | A ∨ B |
| 1 | 1 | 1 |
| 1 | 0 | 1 |
| 0 | 1 | 1 |
| 0 | 0 | 0 |
| IMPLIES | ||
|---|---|---|
| A | B | A ⇒ B |
| 1 | 1 | 1 |
| 1 | 0 | 0 |
| 0 | 1 | 1 |
| 0 | 0 | 1 |
| EQUIV / XNOR | ||
|---|---|---|
| A | B | A ⇔ B |
| 1 | 1 | 1 |
| 1 | 0 | 0 |
| 0 | 1 | 0 |
| 0 | 0 | 1 |
| XOR | ||
|---|---|---|
| A | B | A ⊕ B |
| 1 | 1 | 0 |
| 1 | 0 | 1 |
| 0 | 1 | 1 |
| 0 | 0 | 0 |
| NAND | ||
|---|---|---|
| A | B | A ↑ B |
| 1 | 1 | 0 |
| 1 | 0 | 1 |
| 0 | 1 | 1 |
| 0 | 0 | 1 |
| NOR | ||
|---|---|---|
| A | B | A ↓ B |
| 1 | 1 | 1 |
| 1 | 0 | 0 |
| 0 | 1 | 0 |
| 0 | 0 | 0 |