✅ Parity Bit Calculator

🔄 Operation Mode

⚙️ Parity Type

📝 {{ mode ==='add' ?'Data Bits Input' :'Data + Parity Input' }}

Enter binary data bits (e.g., 1011001) Enter data with parity bit at the end (e.g., 10110010)

💡 Quick Examples

🎯 {{ mode ==='add' ?'Data with Parity Bit' :'Parity Check Result' }}

{{ result.output || (mode ==='check' ? result.dataBits :'') }}

🔍 Parity Analysis

Status: {{ result.parityCorrect ?'PASSED' :'FAILED' }}

Data Bits: {{ result.dataBits }}

Received Parity: {{ result.parityBit }}

Expected Parity: {{ result.expectedParity }}

1s Count: {{ result.oneCount }}

⚠️ Error Detected: Parity mismatch indicates transmission error

✅ No Error: Parity check passed successfully

📊 Parity Calculation

Input Data: {{ result.input }}

1s Count: {{ result.oneCount }}

Parity Bit: {{ result.parityBit }}

Final Output: {{ result.output }}

Total 1s (including parity): {{ result.oneCount + parseInt(result.parityBit) }} ({{ parityType ==='even' ?'even' :'odd' }} - {{ parityType }} parity satisfied)

🔍 Step-by-Step Process

Step {{ step.step }}: {{ step.description }}

📚 Parity Properties

Name: {{ result.properties.name }}

Description: {{ result.properties.description }}

Calculation: {{ result.properties.calculation }}

Error Detection: {{ result.properties.errorDetection }}

Error Correction: {{ result.properties.errorCorrection }}

Overhead: {{ result.properties.overhead }}

Applications:

{{ app }}

⚠️ {{ error }}

ℹ️ About Parity Bit Calculator

Parity Bit is a simple error detection mechanism that adds a single bit to data to make the total number of 1s either even or odd. It's one of the most fundamental error detection techniques used in digital communications and storage. POSIX serial-line configuration exposes parity controls such as PARENB and PARODD in termios, which is why parity still appears in UART, RS-232, modem, and embedded-device settings.

Parity Types:

Even Parity: Total number of 1s (including parity bit) must be even
Odd Parity: Total number of 1s (including parity bit) must be odd
Mark Parity: Parity bit is always set to 1, regardless of data
Space Parity: Parity bit is always set to 0, regardless of data

How It Works:

Encoding: Count 1s in data and set parity bit according to chosen parity type
Detection: Recalculate parity and compare with received parity bit
Error Indication: Mismatch indicates single-bit error occurred
Limitation: Cannot detect even number of bit errors
No Correction: Parity can flag some corruption, but it cannot identify which bit changed

Applications:

Serial communication protocols (UART, RS-232)
Memory systems and storage devices
Network protocols and data transmission
Legacy computer systems and embedded devices

Calculation Methods:

Even Parity: Parity bit = XOR of all data bits
Odd Parity: Parity bit = NOT(XOR of all data bits)
Mark/Space: Fixed value regardless of data content

Limitations: a single parity bit detects any odd number of flipped bits, but two flipped bits can cancel each other out. Use checksums, CRCs, Hamming codes, or stronger integrity mechanisms when you need better burst-error detection or correction.

API Usage Example:

POST /api/tools/conversion/parity-bit
Content-Type: application/json

{
    "mode": "add",
    "input": "1011001",
    "parityType": "even"
}