Parity Bit Calculator

Work out parity bit instantly with clear inputs, formula shown and shareable results.

About Parity Bit Calculator

A parity bit is appended so the total number of ones has a chosen parity. Even parity makes the total even, odd parity makes it odd. A single flipped bit changes the count and is therefore detected.

Formula

Even parity

parity bit = 0 if the data has an even number of ones, otherwise 1

Worked example

With the default values below, Parity Bit Calculator returns Parity bit of 1. Change any input above and every figure here is recalculated in your browser.

Inputs used

Data bits: 1011011
Parity schemeone of Even parity, Odd parity: Even parity

Results

Parity bit: 1
Word with parity appended: 10110111
Ones in the data: 5
Ones in the transmitted word: 6

Step by step

1Values used
2Even parity
3Parity bit= 1
4Word with parity appended= 10110111
5Ones in the data= 5
6Ones in the transmitted word= 6

Assumptions and limits

The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
Figures are rounded for display to whole numbers, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

Even parity for 1011011?

There are five ones, an odd count, so the parity bit is 1 and the word becomes 10110111.

What can parity not catch?

Any even number of errors. Two flipped bits leave the parity unchanged, which is why serious links use CRC or Hamming codes.