Entropy Converter
Convert entropy between the listed units.
Open toolShannon Entropy Calculator
Calculate discrete Shannon entropy in bits as −Σ p log₂(p). Use 1–1,000 comma- or whitespace-separated numbers, each with magnitude at most 1 billion.
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Enter the inputs, then select Calculate.
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How Shannon Entropy Calculator works
Calculate discrete Shannon entropy in bits as −Σ p log₂(p).
Use 1–1,000 comma- or whitespace-separated numbers, each with magnitude at most 1 billion. Probabilities in [0,1] must sum to one within 10⁻⁹. Zero terms contribute zero. Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.
How to use Shannon Entropy Calculator
Follow the labelled inputs.
Enter discrete probabilities
Replace the example with discrete probabilities. The field labels specify the expected format and units.
Input and settings
Check the remaining inputs
This tool uses one input. Check the supported range before running it. Use 1–1,000 comma- or whitespace-separated numbers, each with magnitude at most 1 billion.
Tool result
Run, review and save
Select Calculate. Review the calculated result, then copy it or download the result text.
Review the details
Examples and uses for Shannon Entropy Calculator
Check the supplied example
The starting example produces 1 bits. Calculate discrete Shannon entropy in bits as −Σ p log₂(p).
Use your own inputs
Read the labels for discrete probabilities. Use 1–1,000 comma- or whitespace-separated numbers, each with magnitude at most 1 billion.
Record a reviewed result
Copy the calculated result into your notes. Keep the formula and assumptions with it if someone else needs to reproduce the calculation.
How to read the result
Read the units and assumptions with the output.
Calculate discrete Shannon entropy in bits as −Σ p log₂(p).
Use 1–1,000 comma- or whitespace-separated numbers, each with magnitude at most 1 billion. Probabilities in [0,1] must sum to one within 10⁻⁹. Zero terms contribute zero. Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.
Supported input and limits
Check the stated scope before you run it.
Use 1–1,000 comma- or whitespace-separated numbers, each with magnitude at most 1 billion. Probabilities in [0,1] must sum to one within 10⁻⁹. Zero terms contribute zero. Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.
The input stays in this browser. Copy result and Download save the same displayed text.
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Open toolShannon Entropy Calculator: common questions
Answers about using Shannon Entropy Calculator and understanding its results.
What inputs and assumptions apply?
Use 1–1,000 comma- or whitespace-separated numbers, each with magnitude at most 1 billion. Probabilities in [0,1] must sum to one within 10⁻⁹. Zero terms contribute zero. Inputs and results use floating-point numbers and may be rounded. Results show up to 12 significant digits.
How can I save the result?
Copy result copies the displayed text. Download saves the same text as a TXT file. Processing runs in this browser without an account.
Calculate with your input
Check the calculated result, then copy or download it.