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Shannon Entropy Calculator — result sheet
Calculate Shannon entropy in bits and min-entropy from a finite probability distribution.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Shannon entropy H=−Σpᵢlog₂(pᵢ); min-entropy H∞=−log₂(max pᵢ).
The calculator reports average uncertainty and the conservative largest-probability min-entropy for the same distribution.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Probabilities — Comma-separated nonnegative probabilities summing to 1.
Worked example
| Input | Value |
|---|---|
| Probabilities | 0.5, 0.25, 0.25 |
Shannon entropy = 1.5 bits; min-entropy = 1 bit.
Assumptions and limits
- The supplied probabilities are nonnegative and sum to one within rounding tolerance.
- Zero-probability terms contribute zero to Shannon entropy.
- Entropy does not by itself certify a random source, security level, or independence.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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