CALCULATE WITH CONFIDENCE

Binary Numbers & Logic

Logic Gate Calculator

Evaluate the output of a standard one- or two-input digital logic gate.

Binary Numbers & Logic

Enter binary or code values

Deterministic local calculation with explicit word sizes and conventions
  1. 1EnterProvide the known values
  2. 2CalculateResults update automatically
  3. 3VerifyReview the details and units
Try an example

Prefixes 0b, 0o, and 0x are accepted where a field says “integer”. Underscores and visual spacing are ignored where appropriate. Your values stay in this browser.

AND gate output

0

Exact integer resultCalculated from the values currently entered

Understand and verify

Logic output: 0 (false)

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Understand the subject

What does a logic gate do?

A logic gate maps one or more true/false inputs to one true/false output by a declared rule.

Use it to inspect a gate’s full input-to-output behavior.

The rule

Read the representation exactly

See the structure

What the bits are doing

Worked interpretation

Read the result in context

AND, OR, XOR, NAND, NOR, NOT

Interpret with care

Important boundary

A gate truth table describes Boolean values; it is not an electrical timing model.

For a small base-two example, use the Binary Calculator.

Quick guide

How to use this calculator

  1. Choose the direction, operation, representation, or parity convention when one is provided.
  2. Enter the labelled values and an explicit word size, base, polynomial, or encoding option where required.
  3. Read the primary result together with its alternate representations and stated convention.

Calculation method

Apply the declared binary rule

Gate output follows the selected Boolean truth function.

The calculator validates every digit against its numeral base, keeps integer and bitwise work exact with arbitrary-precision integers, and limits fixed-width operations to the selected word.

Worked example

Worked binary example

A=1 and B=0 gives XOR output 1.

Gate output follows the selected Boolean truth function.

Supported inputs

Precision and limits

Input interpretation

Binary-only fields accept 0 and 1. General integer fields accept decimal plus 0b, 0o, or 0x prefixes. Base conversion supports bases 2 through 36.

Word size and output

Most fixed-width tools support 1–256 bits. Results expose signedness, truncation, parity, or encoding conventions whenever those choices change the meaning.

Local privacy

Calculation runs in the browser. Entered text, bit patterns, code words, and numeric values are not sent to analytics or third parties.