Logic Gate Truth Table Calculator

A logic gate is a basic digital circuit that produces a binary output (True/False or 1/0) based on one or more binary inputs — and truth tables map every possible combination of those inputs to their output. Select your Logic Gate Type (AND, OR, NOT, NAND, NOR, XOR, or XNOR) and Number of Inputs in the Logic Gate Truth Table Calculator to generate the full truth table for that gate. Toggle Show Binary Numbers to switch between 0/1 and True/False notation, and enable Show Boolean Expression to see the algebraic expression alongside the total input combinations.

Display inputs as 0/1 instead of True/False

Display the Boolean algebra expression for the gate

Results

Logic Gate

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Boolean Expression

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Total Input Combinations

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Results Table

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Frequently Asked Questions

What is a logic gate?

A logic gate is a digital circuit that performs a logical operation on one or more binary inputs to produce a single binary output. Logic gates are the fundamental building blocks of digital circuits and computers.

What are the basic logic gates?

The basic logic gates are AND, OR, and NOT gates. These three gates can be combined to create any logical function. Additionally, NAND and NOR gates are called universal gates because they can be used to construct any other logic gate.

Which logic gate is called a universal gate?

Both NAND and NOR gates are called universal gates because any Boolean function can be implemented using only NAND gates or only NOR gates. This makes them extremely versatile in digital circuit design.

Which gate is called the logical inverter gate?

The NOT gate is called the logical inverter gate because it inverts the input signal. If the input is 1 (True), the output is 0 (False), and vice versa.

How to make an AND gate from a NAND gate?

To create an AND gate from a NAND gate, connect the output of the NAND gate to the input of a NOT gate (inverter). Since NAND produces the complement of AND, inverting it gives you the AND function.

How many types of digital logic gates are there?

There are seven basic types of digital logic gates: AND, OR, NOT, NAND, NOR, XOR, and XNOR. Each gate performs a specific logical operation and has its own unique truth table and symbol.

What is the difference between XOR and XNOR gates?

XOR (Exclusive OR) outputs 1 when inputs are different, and 0 when inputs are the same. XNOR (Exclusive NOR) is the complement of XOR, outputting 1 when inputs are the same and 0 when inputs are different.

How do I read a truth table?

A truth table shows all possible input combinations and their corresponding outputs. Read from left to right: input columns show all possible combinations of 0s and 1s, and the output column shows the gate's response to each combination.