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Hamming Code Calculator
Generate and decode Hamming error-correcting codes
About Hamming Codes
Hamming codes are error-correcting codes that can detect and correct single-bit errors in data transmission. They add parity bits to data bits to enable error detection and correction.
Hamming Code Tips
- Parity Bits: Added at positions 1, 2, 4, 8, 16, etc. (powers of 2)
- Data Bits: Fill the remaining positions (3, 5, 6, 7, 9, 10, 11, etc.)
- Error Detection: Can detect up to 2 bit errors
- Error Correction: Can correct single-bit errors
- Syndrome: XOR of received bits at parity positions
- Applications: Memory systems, telecommunications, storage devices