Hamming (7,4) decoder

Client

Recover four data bits from a Hamming(7,4) codeword—companion to the encoder for coding-theory exercises and parity layout practice.

How to use

Paste a 7-bit codeword. The tool reports four data bits and whether parity passed.

About Hamming (7,4) decoder

Decode a 7-bit Hamming codeword to 4 data bits with parity check—browser-only error-detection aid. The interactive transform on this page runs in your browser tab—Toolcore does not need your paste for the core operation described above.

How to use this page

Paste or type in the main workspace, run the primary action from the toolbar, then copy or download the result. Use Load example when the page offers it, or URL prefill (?q= / ?qb=) so agents and tickets open the same input.

Data bits: 1010
Codeword used: 1011010
Corrected 1-bit error (syndrome 7).

Nearby workflows on Toolcore

  • Hamming (7,4) encoder — Encode four data bits into a 7-bit Hamming codeword—parity layout shown in your browser. when the payload needs a different encoding or escape format.
  • Hamming distance — Count differing positions between two equal-length strings—Hamming distance calculator in your browser. when the payload needs a different encoding or escape format.
  • Even parity bit — Append even parity bit to 7-bit ASCII binary string. when the payload needs a different encoding or escape format.
  • Text ↔ binary — Convert UTF-8 text to 0/1 bit strings and back—spaced bytes or continuous—in your browser. when the payload needs a different encoding or escape format.

Common use cases

  • Check whether a received 7-bit word matches even parity on three checks.
  • See corrected data after a single-bit transmission error.

Common mistakes to avoid

  • Wrong bit order

    Layout is p1 p2 d1 p4 d2 d3 d4—not plain 4 data bits first.

FAQ

Does this fix all errors?

Only a single-bit flip is corrected; double-bit errors may mis-correct.

Is data uploaded?

No—all bit math runs locally.

More tools

Related utilities you can open in another tab—mostly client-side.