What is a parity bit?

A parity bit is a single binary digit added to a data word to make the total count of 1-bits either even or odd. It is the simplest form of error detection, able to detect single-bit transmission errors.

What is the difference between even and odd parity?

With even parity the parity bit is chosen so the total number of 1s (data + parity) is even. With odd parity it is chosen so the total is odd. The receiver checks the parity of the received codeword and flags an error if it does not match the expected scheme.

Can parity detect all errors?

No. Parity can detect any single-bit error but cannot detect two-bit errors (they cancel each other out). It also cannot correct errors — only detect them. More advanced schemes like Hamming codes are used when correction is needed.

Where is the parity bit placed in the codeword?

Convention varies by system. This calculator appends the parity bit to the right (least-significant end) of the data word, which is a common convention. Some systems prepend it to the left.

What happens if I enter non-binary characters?

The calculator ignores any character that is not 0 or 1, so only valid binary digits are used in the computation. An error message is shown if no valid bits remain.

Parity Bit Calculator

Name: Parity Bit Calculator
Availability: InStock
Author: Nham Vu

Enter a binary data word to instantly calculate its even and odd parity bits and see the full codeword.

Binary Data Word

Enter binary digits (0s and 1s)

Quick examples

Enter a binary word on the left to see parity results.

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Summary

Enter a binary data word to instantly calculate its even and odd parity bits and see the full codeword.

How it works

Enter a binary data word using only 0s and 1s in the input field.
The calculator counts the total number of 1-bits in the data word.
For even parity: the parity bit is 1 if the count of 1-bits is odd (making the total even), otherwise 0.
For odd parity: the parity bit is 1 if the count of 1-bits is even (making the total odd), otherwise 0.
The complete codeword is displayed with the parity bit appended to the right of the data word.

Use cases

Verify parity bit calculations when studying computer architecture or digital electronics.
Debug serial communication protocols (UART, RS-232) that use parity checking.
Check homework problems on error detection in computer science courses.
Understand how RAM memory parity works in hardware design.
Validate parity settings for network protocol implementations.
Teach or learn the difference between even and odd parity schemes.

Frequently Asked Questions

Last updated: 2026-06-09 · Reviewed by Nham Vu