The abstract machine that defines computation itself. Watch a read-write head crawl an infinite tape, following a tiny rule table to compute — or to run the famous busy beaver.
Turing MachineLive
the model of all computation
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state = A · step 0
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Writes the maximum 1s then halts (Σ=6). A finite state machine plus an infinite tape — the abstract computer that defines what is computable at all.
Reading this result: This 3-state busy beaver writes the maximum possible six 1s onto a blank tape before halting — the champion for its size, and a vivid reminder that even tiny machines can be hard to predict.
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How it works
A Turing machine has a finite set of states, an infinite tape of symbols, and a rule table: given the current state and the symbol under the head, it writes a symbol, moves left or right, and switches state. This minimal model captures everything any computer can compute — the foundation of theoretical computer science.
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Ask the AI about this model
The math, the assumptions, real-world uses, or a code translation — explained for this exact simulation.
Is this Turing machine simulator tool really free?▾
Yes. Turing Machine 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.