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Parity Bit Calculator — result sheet
Choose even or odd parity for a binary data word and calculate the parity bit, transmitted codeword, and total one count.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Let k be the number of 1 bits. Even parity bit p = k mod 2; odd parity bit p = 1 − (k mod 2). The transmitted word is data followed by p, and its total one count has the selected parity.
A parity bit adds one more binary position so the total number of one bits follows a chosen even or odd rule. This is a compact error-detection check: a single flipped bit changes the parity, while some multiple-bit errors can remain undetected. The page returns the bit to append and the resulting codeword, but it does not identify which bit failed or correct corrupted data.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Data bits — Enter a binary word from 1 through 64 bits.
- Parity convention — 2 choices
Worked example
| Input | Value |
|---|---|
| Data bits | 1011001 |
| Parity convention | even |
The data has four one bits, so the even parity bit is 0 and the codeword is 10110010.
Assumptions and limits
- The data input is a nonempty binary string from 1 through 64 bits.
- The parity bit is appended to the right of the entered data word for display.
- Even parity means the total number of one bits is even; odd parity means it is odd.
- The check is a single parity bit and does not provide error correction.
- The result assumes the receiver uses the same bit order and parity convention.
- No serial framing, word length, voltage, timing, or protocol-specific placement is modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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