Even Parity Bit Calculator

Calculate even parity bits for error detection in binary data transmission

Calculate Even Parity Bit

Example: 1010110, 11001, 101

Position 1 = beginning, 1 = end. Leave empty for end position.

Example Calculations

Example 1: Generate Mode

Input: 1010110

Count of 1s: 1 + 1 + 1 + 1 = 4 (even)

Parity bit: 4 mod 2 = 0

Result: 10101100

Example 2: Generate Mode

Input: 1001011

Count of 1s: 1 + 1 + 1 + 1 = 4 (even)

Parity bit: 4 mod 2 = 0

Result: 10010110

Example 3: Check Mode

Input: 10101101

Count of 1s: 1 + 1 + 1 + 1 + 1 = 5 (odd)

Result: Invalid even parity (error detected)

Even Parity Rules

Even count of 1s → Parity bit = 0
Total 1s remains even
Odd count of 1s → Parity bit = 1
Makes total 1s even
Formula: Count(1s) mod 2
Modulo operation gives parity bit
Error Detection
Detects single-bit transmission errors

Calculator Modes

Generate Mode

Calculates parity bit for your binary message and creates the encoded message with parity.

Check Mode

Verifies if a received message has correct even parity to detect transmission errors.

Understanding Even Parity Bits

What is Even Parity?

Even parity is a simple error detection method used in digital communications. A parity bit is added to binary data to make the total number of 1s in the message even. This allows the receiver to detect if a single bit error occurred during transmission.

How It Works

  • Count the number of 1s in the original data
  • If count is even, add parity bit 0
  • If count is odd, add parity bit 1
  • Final message always has even number of 1s

Error Detection

No Error

If the received message has an even number of 1s, it's likely the transmission was successful.

Error Detected

If the received message has an odd number of 1s, a single-bit error likely occurred during transmission.

Limitations

Even parity can detect single-bit errors but cannot detect even numbers of bit errors (2, 4, 6, etc.).

Applications

  • • Serial communication protocols (UART, RS-232)
  • • Memory systems (RAM, cache)
  • • Network protocols and data transmission
  • • Storage systems and data integrity checking
  • • Simple error detection in embedded systems