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How-to guide

How to Calculate Password Entropy: Formula, Steps & Examples

Learn how to calculate Password Entropy — the formula explained step by step, with worked examples and a free calculator to check your answer.

By Vikram Iyer, M.Sc Mathematics · Updated Jun 2026 · 2 min read

Calculating your entropy is straightforward once you know the Password Entropy formula and what each input means. This guide explains the method in plain language, walks through a manual calculation, and gives worked examples you can follow — then you can do it instantly with the Password Entropy Calculator.

What is Password Entropy?

The Password Entropy calculation tells you your entropy from a few simple inputs. The figure you are solving for here is the entropy.

The Password Entropy formula

This calculation combines several inputs through a multi-step method rather than a single one-line formula. Enter the values below and the calculator resolves each step in order. The inputs it needs are:

  • Password length — a number. Example: 12.
  • Character set size — a number. Example: 94.

How to calculate it step by step

  • Write down the password length (for example, 12).
  • Write down the character set size (for example, 94).
  • Apply the formula above to get your entropy.
  • Double-check the result with the Password Entropy Calculator.

Worked examples

Example 1

Input / OutputValue
Password length12
Character set size94
Entropy78.7
Possible combinations (log10)23.7

With password length of 12 and character set size of 94, the entropy works out to 78.7.

Example 2

With password length of 24 and character set size of 94, the entropy works out to 157.3.

ResultValue
Entropy157.3
Possible combinations (log10)47.4

Example 3

With password length of 6 and character set size of 94, the entropy works out to 39.3.

ResultValue
Entropy39.3
Possible combinations (log10)11.8

Tips for an accurate result

  • Keep your units consistent — mixing, say, months with years or grams with kilograms is the most common source of error.
  • Round only at the very end. Rounding inputs early can shift the final answer noticeably.
  • Re-run the numbers whenever an input changes, rather than estimating from an old result.

Prefer not to do the maths by hand? — the Password Entropy Calculator does it instantly, for free, with the formula and a worked example built in.

Continue exploring utility calculators with these tools: Bleach Dilution Calculator, Pool Chlorine Calculator, Age Calculator, Percentage Calculator, Date Difference Calculator.

Calculators in this guide

Frequently asked questions

Gather each input, apply the formula step by step keeping your units consistent, and round only at the end. You can verify your answer instantly with the Password Entropy Calculator.

It uses the standard formula with exact arithmetic, so the result is correct for the inputs you enter. Bear in mind that real-world outcomes can still differ when underlying assumptions change.

Vikram Iyer · M.Sc Mathematics

Vikram Iyer is a mathematics educator with over fifteen years of teaching experience, specialising in making quantitative concepts clear and practical for everyday use.