CalculationTime

Password Generator

Generate a deterministic password-strength estimate from length and character sets, with entropy bits, search-space size and safety notes for using a real password manager.

Live math canvas

Your numbers, formula and explanation together

Password Generator: 104.9 bits. 16 characters from 94 possible characters · search space about 10^31.6 · very strong random setting. Use a password manager for real secrets.

Formula applied

The exact method behind this answer

CalculationTime keeps the method visible so the number can be checked instead of blindly trusted.

Pool size = selected lowercase + uppercase + digits + symbols. Search space = pool size^length. Entropy bits = length × log2(pool size).
  1. Apply the formulaPool size = selected lowercase + uppercase + digits + symbols. Search space = pool size^length. Entropy bits = length × log2(pool size).104.9 bits16 characters from 94 possible characters · search space about 10^31.6 · very strong random setting. Use a password manager for real secrets.

Your live breakdown

Current inputs in the calculation

These values come from the controls above and update when the calculator changes.

Password length
16 characters
Longer passwords increase search space quickly.
Lowercase letters
1
1 includes a-z; 0 excludes them.
Uppercase letters
1
1 includes A-Z; 0 excludes them.
Digits
1
1 includes 0-9; 0 excludes them.
Symbols
1
1 includes a typical printable symbol set; 0 excludes them.

Resulting answer

104.9 bits

16 characters from 94 possible characters · search space about 10^31.6 · very strong random setting. Use a password manager for real secrets.

Answer
104.9 bits
Live support
16 characters from 94 possible characters · search space about 10^31.6 · very strong random setting. Use a password manager for real secrets.

Assumptions used

What this answer assumes

Best for explaining password search space and choosing safer password-manager settings.

  • The entropy estimate assumes truly random independent character selection.
  • Human-made passwords, reused passwords and dictionary-based passwords can be much weaker.
  • This page is for strength estimation; use a trusted password manager to generate and store real secrets.
  • Do not send real passwords to chat, email or screenshots.

Master’s Tip

How to use the result well

Master’s Tip: length beats cleverness. A long random password stored in a password manager is better than a short memorable pattern with substitutions.

Printable record

What belongs in the saved calculation

Save the inputs, result, formula, assumptions, page URL and date together so the calculation can be reviewed later.

Password length
16 characters
Longer passwords increase search space quickly.
Lowercase letters
1
1 includes a-z; 0 excludes them.
Uppercase letters
1
1 includes A-Z; 0 excludes them.
Digits
1
1 includes 0-9; 0 excludes them.

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Embed this calculator

Copy a clean iframe version with the required CalculationTime attribution link built in.

Formula

Pool size = selected lowercase + uppercase + digits + symbols. Search space = pool size^length. Entropy bits = length × log2(pool size).

Worked example

A 16-character password using lowercase, uppercase, digits and symbols has a pool around 94 characters. Entropy is 16 × log2(94), about 104.9 bits.

Professional note

Master’s Tip: length beats cleverness. A long random password stored in a password manager is better than a short memorable pattern with substitutions.

Regional and unit assumptions

General information-security arithmetic for random password search space; not a guarantee against phishing, malware, database leaks or password reuse.

Assumptions and limitations

Methodology & Accuracy

How this calculator is checked

CalculationTime pages are built around visible arithmetic: the formula, assumptions, worked example and practical limitations are shown so the result can be checked rather than simply trusted.

Formula used

Pool size = selected lowercase + uppercase + digits + symbols. Search space = pool size^length. Entropy bits = length × log2(pool size).

Standard or basis

General information-security arithmetic for random password search space; not a guarantee against phishing, malware, database leaks or password reuse.

Where a calculator follows a named legal, trade or industry standard, that standard is cited visibly. Otherwise the page uses transparent general arithmetic and states its limits.

Master's Tip

Master’s Tip: length beats cleverness. A long random password stored in a password manager is better than a short memorable pattern with substitutions.

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Questions

Does this page save passwords?

No. The calculator estimates strength from settings. For real passwords, use a password manager.

How many bits is strong?

For ordinary account passwords, long random passwords around 80+ bits are generally far stronger than human-memorable patterns, but threat models vary.

Are symbols required?

Symbols help by increasing the character pool, but length and randomness usually matter more than satisfying one symbol rule.

Calculation note

Password strength is often misunderstood as decoration rules. Search-space arithmetic shows why long random strings are easier to defend than short clever words.

Sources and further readingNIST SP 800-63B — Digital Identity Guidelines