Huffman Coding

Give common letters short codes and rare ones long codes, and you compress data optimally. Huffman coding is the trick inside ZIP, JPEG, and MP3.

Huffman CodingLive

optimal lossless compression

Codebook (shorter = more frequent)

×5

1 bit

×1

100

3 bit

×1

101

3 bit

×2

110

3 bit

×2

111

3 bit

Controls

Text to compress

Huffman coding gives frequent symbols short codes and rare ones long codes, minimizing the total bits — the optimal prefix code. It builds a tree by repeatedly merging the two least frequent nodes, so no code is a prefix of another and decoding is unambiguous. It is the compression step inside ZIP, JPEG, MP3, and countless file formats.

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Data Inspector

Symbols5

Huffman bits23

Fixed-length bits33

Compression70%

Governing equation

L = i \sum p_{i} ℓ_{i} = 2.09 bits/sym \geq H = - i \sum p_{i} lo g_{2} p_{i}

Reading this result: Huffman packs this text into 23 bits versus 33 fixed-length — a 30% saving, earned by giving the most frequent symbol (a, ×5) the shortest code.

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How it works

Huffman coding builds an optimal prefix code by repeatedly merging the two least-frequent symbols into a tree. Frequent symbols end up near the root with short codes, rare ones deeper with long codes, and no code is a prefix of another so decoding is unambiguous. It achieves the best possible compression for symbol-by-symbol encoding and underlies countless file formats.

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Frequently asked questions

Is this Huffman coding compression tool really free?▾

Yes. Huffman Coding runs entirely in your browser using your device's own compute, so local use is free forever. You only pay Compute Tokens if you scale a job to the cloud.

Do I need to install anything?▾

No. Everything runs client-side in a modern browser — no downloads, no license, no account required to start.

Can I save or share my simulation?▾

Create a free account to save projects, and use a shareable embed or minted DOI to publish a live, interactive version anywhere.

How accurate are the results?▾

The solver uses established numerical methods, but results are for research and educational purposes and should be validated against experiment or professional review before you rely on them.