CalculationTime

Developer & IT

Password Generator

Full calculator

Developer & IT

Password Generator

Live answer104.9 bits16 characters from 94 possible characters · search space about 10^31.6 · very strong random setting. Use a password manager for real secrets.
Live result104.9 bits16 characters from 94 possible characters · search space about 10^31.6 · very strong random setting. Use a password manager for real secrets.
Formula used

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

This is the method behind the answer, so the result can be checked rather than simply trusted.

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.

Visual grid

This number is one point on a larger pattern

Password Generator is not just a final answer. It is a step on a line: before and after, input and output, assumption and result.

Micro-timehours, minutes, shiftsHuman scaledays, weeks, projectsMacro-timemonths, years, calendars
InputFormulaResult
104.9 bits

CalculationTime keeps the path visible: the input, the method and the final number belong together.

CalculationTime

Password Generator Calculation Report

Report date:

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.

Inputs

Password length
16 characters
Lowercase letters
1
Uppercase letters
1
Digits
1
Symbols
1

Method

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

  1. 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.

Assumptions

  • 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.

Notes

Use this space on the printed report for client, supplier, classroom, job-location, measurement, quote or approval notes.

Source: https://www.calculationtime.com/calculators/password-generator

This report shows the calculation inputs, formula, assumptions and result for review. It is not legal, payroll, tax, engineering, financial or academic advice unless a qualified professional confirms the applicable rules.