Binary Numbers & Logic

Parity Bit Calculator

Generate or verify an even- or odd-parity binary word.

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.

Binary result

Enter valid values to see the result.

Your entries are calculated in this browser and are not submitted to 365CALCS.COM.

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Understand the subject

What does a parity bit check?

A parity bit makes the total number of 1 bits even or odd, according to the chosen convention.

Use it to generate or verify this simple single-error-detection check.

The rule

Read the representation exactly

See the structure

What the bits are doing

Worked interpretation

Read the result in context

even parity: total 1 bits is even

Interpret with care

Important boundary

Parity detects only an odd number of flipped bits; it cannot correct errors.

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

The parity bit makes the total count of 1 bits even or odd as selected.

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

Even parity adds 1 to data 1011, producing 10111.

The parity bit makes the total count of 1 bits even or odd as selected.

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.

Calculator-specific rule

A single parity bit detects any odd number of bit flips but cannot locate or correct an error.