Use this entropy calculator to determine the level of disorder or randomness in a system based on your input values.

# Entropy Calculator

Enter the probabilities of each event (each probability between 0 and 1) separated by commas.

## How to Use the Calculator

To calculate entropy, input the probabilities of each possible outcome in the event space. Make sure to separate each probability with a comma. For example, if you have three possible outcomes with probabilities of 0.1, 0.2, and 0.7, enter them as “0.1, 0.2, 0.7” without quotes.

## How It Calculates the Result

This calculator uses the formula for Shannon entropy, which is -Σp(x)log₂(p(x)), where p(x) is the probability of each outcome. It adds up the product of each probability with the base-2 logarithm of that probability, and then takes the negation of the sum.

## Limitations

The probabilities must sum up to 1 and each probability value must be between 0 and 1. Otherwise, the result might be inaccurate. The calculator does not handle invalid inputs or non-numeric values; it assumes that all inputs are valid probabilities.