// multi-utility computation suite · offline · instant · precise
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sci.shannon-entropy Calculator
Calculates Shannon information entropy H = −Σ pᵢ log₂(pᵢ) in bits from a probability distribution. A fair coin has H = 1 bit; a fair die has H = 2.58 bits — maximum entropy occurs for a uniform distribution; zero entropy for a certain outcome.
Inputs
P1
Reference formula or conversion factor shown for context.
P2
Reference formula or conversion factor shown for context.
P3
Reference formula or conversion factor shown for context.
P4
Reference formula or conversion factor shown for context.
Results
Shannon entropy H (bits)
Sample size or count used in the calculation.
max entropy (uniform)
The specific form or variant of the result.
efficiency
Useful output divided by total input, as a percentage. True 100% efficiency is impossible — losses appear as heat. LEDs: 30–50%. Electric motors: 85–97%. Switching supplies: 85–95%.
H = -Σ pᵢ log₂(pᵢ)
Reference formula or conversion factor shown for context.
1 bit
Reference formula or conversion factor shown for context.