Logic Gate Calculator

Compute AND, OR, XOR, NAND, NOR, XNOR, and NOT of binary values with truth-table style output

Gate:

Input

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Output

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What is Logic Gate Calculator

Last reviewed: April 18, 2026

Binary (base 2) is the number system computers use natively, where every value is represented with combinations of 0 and 1.

Logic Gate Calculator performs bitwise logic operations on two binary numbers (or one for NOT). Supported gates: AND, OR, XOR, NAND, NOR, XNOR, and NOT. Results are shown in binary, decimal, and hexadecimal.

It's ideal for digital-logic classrooms, FPGA prototyping, low-level debugging, and quick verification of hardware truth tables.

Why use it

Verify digital-logic homework in seconds.
Prototype FPGA / Verilog expressions.
Debug bitmask flags in embedded firmware.
Teach truth tables with worked examples.
Convert gate results to hex for register writes.

Features

AND, OR, XOR, NAND, NOR, XNOR, NOT
Binary, decimal, and hex output
Arbitrary-width BigInt support
Local-only Logic Gate processing keeps data in-browser
Zero-padded to first operand's width

How to use Logic Gate Calculator

Pick gate. Select AND, OR, XOR, NAND, NOR, XNOR, or NOT.
Enter binary operands. Separate two operands with a space (or one for NOT).
Run. Read binary, decimal, and hex output.

Example (before/after)

Input

1101 1011

AND result

Gate: AND
Binary: 1001
Decimal: 9
Hex: 0x9

Common errors

Different operand widths

Shorter operands are zero-padded to the first operand's width.

Fix: Write operands with the same number of bits for predictable output.

Non-binary characters

Only 0 and 1 are allowed.

Fix: Strip any spaces or separators before pasting.

FAQ

Which gates are supported?

AND, OR, XOR, NAND, NOR, XNOR, and NOT.

How do I run NOT?

Select NOT in the gate selector and provide a single binary operand.

What's the maximum width?

Thanks to BigInt, you can work with arbitrarily large binary numbers.

Does it show hex and decimal?

Yes — binary, decimal, and hexadecimal outputs are shown together.

Is input uploaded?

No — the calculator runs entirely in your browser.

Related tools

Combine the logic gate calculator with number-base and binary helpers for full bit-level workflows. You can also browse the full Developer Calculators category for more options.

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