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How to Calculate Password Generator

What is Password Generator?

A password generator creates cryptographically random passwords of specified length and character set, and calculates the entropy (strength) of the generated password.

Formula

Entropy = L × log₂(N) bits
L
password length; N = character set size — password length; N = character set size
N
character set size — character set size

Step-by-Step Guide

  1. 1Entropy = L × log₂(N) bits
  2. 2L = password length; N = character set size
  3. 370+ bits is considered secure for most uses
  4. 4Longer is always stronger — prefer 16+ characters

Worked Examples

Input
16 characters, all printable ASCII (95 chars)
Result
Entropy = 16 × log₂(95) = 104.9 bits — very strong

Frequently Asked Questions

What is Random Password?

A password generator creates cryptographically random passwords of specified length and character set, and calculates the entropy (strength) of the generated password. Use this calculator for accurate, instant results.

How accurate is the Random Password calculator?

The calculator uses the standard published formula for random password. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.

What units does the Random Password calculator use?

Enter values in the units shown in each input field. The calculator displays results in standard units and shows the calculation steps.

What formula does the Random Password calculator use?

The core formula is: Entropy = L × log₂(N) bits. Each step in the calculation is shown so you can verify the result manually.

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