Odd Parity Bit Calculator

Created by Luis Hoyos
Reviewed by Davide Borchia
Last updated: Jun 05, 2023

With this tool, you can calculate the odd parity bit of a binary number and detect if there's an error in the transmission of a message. No matter your role in the transmission process:

  • If you're the receiver, you can use this calculator as an odd parity checker; and
  • If you're the sender, you can use it as an odd parity generator (for 3 bits, 4 bits, 5 bits, or any other number of bits).

Even parity vs. odd parity

The parity bit is one of the ways we can inform a receiver about the presence or absence of errors in a message we send. As, in today's world, messages and information are binary codes, we calculate parity bits considering those types of codes.

Even and odd parity are the two possible types of parity bits. The main difference between them relies on the calculation and result:

  • For odd parity, we count the number of 1s in the message, and if their number is even, the parity bit is 1; otherwise, it is 0.
  • For even parity, it is the opposite: if the number of 1s is even, the parity bit is 0; otherwise, it is 1.

Mathematically, parity bits are generated by even and odd parity functions, resulting in the above behavior.

Once you know the result, you add it to the original message/binary code, no matter the position in which you insert it (although usually the last position is chosen).

Now that you know the basics about the even parity vs. odd parity differences let's look at how to use this calculator.

How to use our odd parity generator/checker?

Our odd parity bit calculator has two modes, which you can select on top of the calculator: generate or check.

  • In generate mode (odd parity generator), you can input a binary message of arbitrary length and insert the parity bit in a position of your choice. Fill the field position with the desired place of your parity bit, or leave it empty: the calculator will insert the bit at the end of the message, generating an odd parity message.
  • In check mode (odd parity checker), insert a binary message. Our calculator checks if the number of 1s is odd. If not, it will tell you that your message has the wrong parity.

Additionally, by clicking on the advanced mode, you can switch to the other type of parity: even parity.

Other even and odd parity checkers and generators

If you want to know more about the even parity vs. odd parity differences, make sure to visit the following parity generators and checkers:


How do I calculate an odd parity bit?

To calculate an odd parity bit:

  1. Count the number of ones (1s) in the binary number
  2. Apply the following rule:
    • If the number of 1s is even, the odd parity bit is 1;
    • Otherwise, it is 0.

You can also use our odd parity bit calculator and obtain the answer instantly.

What is the odd parity bit of 111001?

The odd parity bit is 1, and the transmitted message is 1110011. To calculate the odd parity of 111001:

  1. Sum the ones in the binary number 1 + 1 + 1 + 1 = 4.
  2. As the number of ones is even, the odd parity bit equals 1.
  3. Attach the parity bit at the end of the message before the transmission: 1110011.
Luis Hoyos
What to do?
Parity bit position
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