// multi-utility computation suite · offline · instant · precise
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sci.Shannon-entropy-bits Calculator
Calculates information entropy H = −Σ pᵢ log₂(pᵢ) in bits for a probability distribution and the redundancy relative to maximum entropy. Maximum entropy for n equally likely outcomes = log₂(n) bits — entropy quantifies the minimum average bits needed per symbol for lossless data compression.
Inputs
P1 Pct
Reference formula or conversion factor shown for context.
P2 Pct
Reference formula or conversion factor shown for context.
P3 Pct
Reference formula or conversion factor shown for context.
P4 Pct
Reference formula or conversion factor shown for context.
Results
Shannon entropy H (bits)
Sample size or count used in the calculation.
maximum entropy H_max (bits)
The largest value in the dataset or feasible range.
source efficiency H/H_max
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.