1.3 KiB
1.3 KiB
NOT Gate
A binary NOT gate has a single input, and inverts that input.
Truth Table
x |
y |
|---|---|
| 0 | 1 |
| 1 | 0 |
Mathematical Expression
A NOT operation is mathematically expressed using a bar:
y = \bar{x} AND Gate
An AND gate will only output a 1 if both inputs are a one.
Truth Table
x_1 |
x_2 |
y |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 1 |
Mathematical Expression
An AND operation is mathematically expressed using a times symbol, or with no symbol at all:
y = x_1 \cdot x_2 = x_1x_2NAND Gate
A NAND gate outputs a 1 unless both inputs are enabled.
Truth Table
x_1 |
x_2 |
y |
|---|---|---|
| 0 | 0 | 1 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |
Mathematical Expression
A NAND operation is mathematically expressed using a bar over an AND operation:
y = \overline{x_1 \cdot x_2}OR Gate
An OR gate outputs a 1 if either or both inputs are enabled.
Truth Table
x_1 |
x_2 |
y |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 1 |
Mathematical Expression
A mathematical OR is notated with a + symbol.
y = x_1 + x_2