Parity Calculator
Calculate parity bit (even or odd) for binary data. Parity is used for error detection in data transmission and storage.
Enter binary digits (0s and 1s)
How to Use This Calculator
- Select parity type (even or odd).
- Enter binary data (0s and 1s).
- The calculator counts 1s and calculates the parity bit.
- The result shows data with parity bit and validates the parity.
Parity Bit Formula
Parity bit depends on parity type and number of 1s:
Even Parity:
If count is even: Parity Bit = 0
If count is odd: Parity Bit = 1
Result: Total 1s is even
Odd Parity:
If count is even: Parity Bit = 1
If count is odd: Parity Bit = 0
Result: Total 1s is odd
Example: Data 1011010 (4 ones). Even parity: Parity = 0, Result = 10110100 (4 ones, even). Odd parity: Parity = 1, Result = 10110101 (5 ones, odd). The parity bit ensures total 1s matches the selected parity type.
Full Description
The Parity Calculator calculates parity bits (even or odd) for binary data. Parity is an error-detection method used in data transmission and storage. A parity bit is added to binary data to ensure the total number of 1s matches the parity type (even or odd). This allows detection of single-bit errors during data transmission.
Even parity ensures the total number of 1s (including parity bit) is even. If the data has an even number of 1s, the parity bit is 0. If the data has an odd number of 1s, the parity bit is 1. Odd parity ensures the total number of 1s is odd. If the data has an even number of 1s, the parity bit is 1. If the data has an odd number of 1s, the parity bit is 0. Both methods detect single-bit errors, but use different rules.
This calculator helps you calculate parity bits. Select parity type (even or odd), enter binary data, and it calculates the parity bit and validates the result. Use it for error detection, data transmission, understanding parity, or learning about error-detection methods. Remember, parity can detect single-bit errors but cannot correct them—more advanced codes are needed for error correction!
Frequently Asked Questions
What is parity?
Parity is an error-detection method where a parity bit is added to binary data. Even parity makes total 1s even, odd parity makes total 1s odd. Example: Data 1011010 (4 ones): Even parity = 0 → 10110100 (4 ones, even). Odd parity = 1 → 10110101 (5 ones, odd). Used in data transmission and storage.
What's the difference between even and odd parity?
Even parity: Total 1s (including parity bit) must be even. Parity bit = 0 if data has even 1s, 1 if odd. Odd parity: Total 1s (including parity bit) must be odd. Parity bit = 1 if data has even 1s, 0 if odd. Both detect single-bit errors, but use different rules.
How is parity bit calculated?
Count 1s in data. Even parity: If count is even, parity = 0; if odd, parity = 1. Odd parity: If count is even, parity = 1; if odd, parity = 0. This ensures total 1s matches the parity type (even or odd). The calculator does this automatically.
What is parity used for?
Parity is used for error detection in data transmission and storage. If a bit flips during transmission, the parity check fails, indicating an error. However, parity can only detect single-bit errors, not correct them. More advanced error-correcting codes (ECC) are used for error correction. Parity is simple but effective for basic error detection.