Hamming Code (15,11) Visualizer

Click a bit to flip it. Click a parity rule below to see its scope.

16-Bit Block

Data Bit
Parity Bit
Detected Error
Scope

System Status

Initialized.

Parity Check Breakdown

Click a row to highlight checked bits

The Math:

  • Positions 1, 2, 4, 8 are Parity Bits.
  • Position 0 is the Overall Parity (checks all bits).
  • If a parity group has an odd number of 1s, it flags the Syndrome.
  • Syndrome = P8*8 + P4*4 + P2*2 + P1*1.
  • Combined with Overall Parity, we can detect 1-bit or 2-bit errors.