Skip to main content

Security Fundamentals

A concise guide to password entropy as a rough strength estimate, explaining what the number represents, what it does not represent, and why human behaviour still matters.

Key formulas

Entropy estimate
entropy = length x log2(character set size)

What password entropy does and does not mean

Entropy gives a rough mathematical estimate of the size of the search space if characters are chosen unpredictably. It does not automatically describe how humans actually choose passwords.

That makes it useful as a comparison tool, but not as the whole security story.

Common mistakes

  • Treating an entropy estimate as a guarantee of real-world resistance.
  • Ignoring reuse, dictionary patterns, or predictable substitutions.
  • Comparing entropy values without checking the assumed character set.
Related calculators

Apply the topic straight away.