How does the Entropy Calc Stats Calculator work?

H(X) = -Σ p(x) × log(p(x)) for all outcomes Then: Units: bits (log base 2), nats (ln), or dits (log base 10) Then: H = 0: no uncertainty (deterministic) Then: H = maximum when uniform distribution.

Can you give an example of how to use the Entropy Calc Stats Calculator?

Example: Input P(x1)=0.5, P(x2)=0.5 gives a result of H=1 bit.

Is the Entropy Calc Stats Calculator free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Entropy Calc Stats Calculator?

Our Entropy Calc Stats Calculator uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

Mathematics

Entropy Calc Stats Calculator

Shannon Entropy

Probabilities (comma-separated)

Calculates information entropy quantifying uncertainty or information content in data.

Symbol	Name	Unit	Description
H	maximum when uniform distribution	—	maximum when uniform distribution
X	-Σ p(x) × log(p(x)) for all outcomes	—	-Σ p(x) × log(p(x)) for all outcomes

Difficulty:advanced

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Did You Know?

Shannon entropy 0 bits for fair coin flip decision; fundamental to compression limits.

References

›Information Entropy

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Entropy Calc Stats Calculator

Shannon Entropy

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