Odd Parity Bit Calculator

Generate odd parity bits for error detection or check binary messages for correct odd parity

Calculate Odd Parity Bit

Generate mode adds parity bit, Check mode verifies existing parity

Enter the original binary message to add parity bit

Parity bit will be added at the end of the message

Example Calculations

4-bit Example

Original: 1100
Ones count: 2
Parity bit: 1
With parity: 11001
Simple 4-bit binary message

6-bit Example

Original: 111001
Ones count: 4
Parity bit: 1
With parity: 1110011
Standard 6-bit message from documentation

8-bit Example

Original: 10110100
Ones count: 4
Parity bit: 1
With parity: 101101001
Common 8-bit byte example

Parity Bit Basics

1

Error Detection

Parity bits help detect single-bit errors in data transmission

2

Odd Parity Rule

Total number of 1s (including parity) must be odd

3

Simple & Effective

One extra bit provides basic error detection capability

4

Digital Communications

Widely used in computer networks and storage systems

Quick Reference

Odd parity: Total 1s must be odd

Even count → Add 1: Makes total odd

Odd count → Add 0: Keeps total odd

Position: Usually appended at end

Limitation: Detects only odd number of errors

Understanding Odd Parity Bits

What is Odd Parity?

Odd parity is an error detection method where an extra bit (parity bit) is added to binary data to ensure the total number of 1s in the message is always odd. This simple technique helps detect single-bit transmission errors.

How It Works

  1. 1.Count the number of 1s in the original message
  2. 2.If the count is even, set parity bit to 1
  3. 3.If the count is odd, set parity bit to 0
  4. 4.Append parity bit to the message

Odd vs Even Parity

Message1s CountOdd ParityEven Parity
11002 (even)1100111000
11103 (odd)1110011101

Applications

  • Computer memory systems (RAM parity)
  • Serial communication protocols
  • Network packet transmission
  • Data storage verification

Note: Parity bits can only detect an odd number of bit errors. Two bit errors will go undetected as they cancel each other out.