AND Gate Calculator
The output is 1 only when both inputs are 1.
| A | B | Output |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 1 |
Math Calculators
Logic Gate Calculators
Use these logic gate calculators to test binary inputs and understand how AND, OR, NOT, NAND, NOR, XOR, and XNOR gates work. This page also includes truth tables, logic gate explanations, a figure, and reference links for learning digital logic.
AND
OR
NOT
NAND
NOR
XOR
XNOR
AND Gate
Go to the AND calculator and truth table.
OR Gate
Go to the OR calculator and truth table.
NOT Gate
Go to the NOT calculator and truth table.
NAND Gate
Go to the NAND calculator and truth table.
NOR Gate
Go to the NOR calculator and truth table.
XOR Gate
Go to the XOR calculator and truth table.
XNOR Gate
Go to the XNOR calculator and truth table.
Logic Gate Figure
The figure below shows common logic gate symbols. These gates are the building blocks of digital circuits, processors, memory systems, and control hardware.
OR Gate Calculator
The output is 1 when at least one input is 1.
| A | B | Output |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 1 |
NOT Gate Calculator
The output is the opposite of the input.
| A | Output |
|---|---|
| 0 | 1 |
| 1 | 0 |
NAND Gate Calculator
The output is 0 only when both inputs are 1.
| A | B | Output |
|---|---|---|
| 0 | 0 | 1 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |
NOR Gate Calculator
The output is 1 only when both inputs are 0.
| A | B | Output |
|---|---|---|
| 0 | 0 | 1 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 0 |
XOR Gate Calculator
The output is 1 when the two inputs are different.
| A | B | Output |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |
XNOR Gate Calculator
The output is 1 when the two inputs are the same.
| A | B | Output |
|---|---|---|
| 0 | 0 | 1 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 1 |
How Logic Gates Work
Logic gates are small electronic decision units that accept binary input values and return a binary output. In digital electronics, an input of 0 usually represents false or low, while an input of 1 represents true or high. By combining gates, engineers build processors, memory chips, control systems, and embedded devices.
AND Gate Explanation
An AND gate produces 1 only when every input is 1. It is used when two or more conditions must be true at the same time.
OR Gate Explanation
An OR gate produces 1 when any input is 1. It is useful when any one of several conditions should activate an output.
NOT Gate Explanation
A NOT gate is an inverter. It flips the input, so 0 becomes 1 and 1 becomes 0.
NAND Gate Explanation
A NAND gate is the opposite of an AND gate. It returns 0 only when all inputs are 1. NAND gates are especially important because complete digital circuits can be built from NAND gates alone.
NOR Gate Explanation
A NOR gate is the opposite of an OR gate. It returns 1 only when all inputs are 0. Like NAND, NOR can also be used as a universal gate.
XOR Gate Explanation
An XOR gate returns 1 when the inputs are different. It is commonly used in adders, parity checks, and comparison logic.
XNOR Gate Explanation
An XNOR gate returns 1 when the inputs match. It is often used in equality checking and digital comparison circuits.
Why Use a Logic Gate Calculator
A logic gate calculator helps students, engineers, and hobbyists verify outputs quickly without drawing every circuit by hand. It is useful for digital electronics homework, computer architecture basics, microcontroller projects, and interview preparation.
Related Digital Logic Calculators
After testing a logic gate calculator, many students move to the Boolean algebra calculators to simplify expressions, the Karnaugh map calculators to minimize SOP and POS forms, the flip-flop and sequential logic calculators to study memory elements, and the code conversion calculators for binary, Gray code, BCD, and ASCII conversion tasks.
External Links and References
Learn more from Logic gate, AND gate, XOR gate, and Encyclopaedia Britannica on logic gates.