Logic Gates & Truth Tables

What is a logic gate?

A logic gate is an electronic component that operates on one or more binary inputs to produce a single binary output.

What does an AND gate do?

An AND gate outputs true (1) only when all its inputs are true (1).

What is the truth table for an AND gate?

| A | B | Output (A AND B) |
|---|---|------------------|
| 0 | 0 | 0 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 1 |

What does an OR gate do?

An OR gate outputs true (1) if at least one of its inputs is true (1).

What is the truth table for an OR gate?

| A | B | Output (A OR B) |
|---|---|------------------|
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 1 |

What does a NOT gate do?

A NOT gate inverts its input; it outputs true (1) when the input is false (0), and vice versa.

What is the truth table for a NOT gate?

| A | Output (NOT A) |
|---|----------------|
| 0 | 1 |
| 1 | 0 |

What is a NAND gate?

A NAND gate is the opposite of an AND gate; it outputs false (0) only when all its inputs are true (1).

What is the truth table for a NAND gate?

| A | B | Output (A NAND B) |
|---|---|--------------------|
| 0 | 0 | 1 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |

What is a NOR gate?

A NOR gate is the opposite of an OR gate; it outputs true (1) only when all its inputs are false (0).

What is the truth table for a NOR gate?

| A | B | Output (A NOR B) |
|---|---|-------------------|
| 0 | 0 | 1 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 0 |

What is an XOR gate?

An XOR (exclusive OR) gate outputs true (1) when exactly one of its inputs is true (1).

What is the truth table for an XOR gate?

| A | B | Output (A XOR B) |
|---|---|-------------------|
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |

What is an XNOR gate?

An XNOR (exclusive NOR) gate outputs true (1) when both inputs are the same.

What is the truth table for an XNOR gate?

| A | B | Output (A XNOR B) |
|---|---|--------------------|
| 0 | 0 | 1 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 1 |