Password Generator

Password Generator

  • Choose your desired password length.
  • Select one or more character sets from the options below.
  • Click the "Generate Password" button to create a password.
  • View the password strength and feedback in the progress bar and text below.
  • Copy the generated password to your clipboard using the "Copy" button.
  • Keep track of previous passwords in the "Password History" section.
Password History


In today’s digital age, password security is of paramount importance. With the increasing number of online services and the ever-present threat of cyberattacks, ensuring strong and unique passwords for each account is crucial. One of the tools that have emerged to address this need is the “Password Generator.”

Concept of Password Generator

A password generator is a software or online tool that generates random and complex passwords based on specified criteria. The primary goal is to create passwords that are difficult for hackers to guess, thereby enhancing the security of online accounts. Password generators allow users to customize the generated passwords by specifying factors such as length, character types (uppercase, lowercase, numbers, special symbols), and avoidance of common words or patterns.

Formulae Behind Password Generation

1. Entropy

Entropy is a critical concept in password generation. It quantifies the randomness or uncertainty of a password. The formula for entropy is given as:

Entropy (H) = log2(N^L)


  • H is the entropy in bits.
  • N is the number of possible characters (e.g., 26 for lowercase letters, 10 for digits).
  • L is the length of the password.

Higher entropy values indicate stronger passwords. Password generators use this formula to determine the appropriate length and character set for generating secure passwords.

2. Random Number Generation

Password generators rely on pseudorandom number generators (PRNGs) to produce random sequences of characters. PRNGs are algorithms that generate sequences of numbers that appear random but are generated deterministically from an initial seed value. Popular PRNGs include the Mersenne Twister and the Xorshift algorithm.

Example Calculations

Let’s calculate the entropy for two different passwords to understand their relative strength:

  1. Password A: Length = 8 characters, Character Set = Uppercase letters, Digits (26 + 10 characters)Entropy (H) = log2(36^8) = 48 bits
  2. Password B: Length = 12 characters, Character Set = Uppercase letters, Lowercase letters, Digits, Special Symbols (26 + 26 + 10 + 32 characters)Entropy (H) = log2(94^12) = 78 bits

Password B has significantly higher entropy, making it a more secure choice compared to Password A.

Real-World Use Cases

Online Account Security

The most common use of password generators is to enhance online account security. Users can generate strong, unique passwords for each of their online accounts, reducing the risk of unauthorized access and data breaches.

Encryption Keys

Password generators are also used in the creation of encryption keys. Strong and random keys are essential for securing data during transmission or storage. Cryptographic applications employ password generators to generate keys with high entropy.

Two-Factor Authentication (2FA)

Password generators are integral to the operation of two-factor authentication (2FA) apps. In 2FA, a time-based one-time password (TOTP) is generated using a shared secret and a timestamp. These passwords are short-lived and generated securely, adding an extra layer of security to login processes.

Password Managers

Password managers use password generators to create and store strong passwords for users. When a user needs to access an online account, the password manager automatically fills in the credentials, reducing the burden of remembering complex passwords.


The Password Generator is a vital tool in the realm of digital security. It relies on mathematical concepts such as entropy and random number generation to create strong and unique passwords that protect online accounts and sensitive data. With the ever-growing threats of cyberattacks and password breaches, using password generators has become essential for individuals and organizations alike.


  1. Ferguson, N., Schneier, B., & Kohno, T. (2010). Cryptography engineering: Design principles and practical applications. Wiley.
  2. Eastlake, D., Jones, P., & Schaad, J. (2017). Randomness Requirements for Security. RFC 4086.
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23 thoughts on “Password Generator”

  1. This is a very informative article. I’ve always found the concept of password generation fascinating and the article explains it in such an easy way to understand! Thanks for sharing!

    1. It’s great to see an article that delves into the technical aspects of password generation. It’s crucial to understand the underlying principles to appreciate the importance of strong passwords.

  2. I’ve never thought about the mathematics behind password generation until reading this article. It’s fascinating to see how entropy and random number generation come into play in creating secure passwords.

    1. Avatar of Yasmine Jackson
      Yasmine Jackson

      The formula for entropy was particularly eye-opening for me. It puts into perspective the strength of different passwords and why certain criteria are important for security.

  3. The technical depth and practical relevance of this article set it apart as an essential read for anyone looking to enhance their understanding of password security.

    1. The examples and calculations make it clear just how significant the impact of strong passwords can be in safeguarding sensitive data.

    2. The way the article bridges the theoretical concepts with real-world applications provides a comprehensive view of the vital role that password generators play.

  4. This article serves as a wake-up call for those who underestimate the importance of robust password generation. The real-world use cases demonstrate the wide-ranging impact of secure passwords in different contexts.

    1. The section on Two-Factor Authentication was especially enlightening. It shows the practical implementation of password generators for enhancing security measures.

    2. Absolutely, I think everyone should take the time to understand how password generators work and the critical role they play in our digital lives.

  5. The detailed explanations and examples in this article make it an outstanding resource for comprehending the critical role of password generators in modern digital security measures.

    1. The clarity and depth of the explanations contribute to a comprehensive understanding of the importance of effective password generation.

    2. The article presents a compelling case for adopting robust password generation practices in an increasingly connected online landscape.

  6. This article presents a compelling argument for the necessity of strong password generation in today’s digital world. The reference to real-world use cases reinforces the significance of this technology.

    1. Agreed. The examples provided shed light on the practical applications and benefits of password generation.

    2. The article’s structure and detailed explanations make it an invaluable resource for understanding password security and the role of generators in maintaining it.

  7. This article is both enlightening and thought-provoking. It deepened my understanding of an aspect of online security that I didn’t previously consider in such detail.

    1. Absolutely, the insight provided into password generation is invaluable for improving our digital security practices.

  8. This article is a must-read for anyone concerned about online security. The examples and real-world applications highlight the significance of password generators in protecting sensitive data.

    1. Absolutely agree. The use cases provided really drive home the relevance of this technology in today’s digital landscape.

  9. This article is quite informative on the concept of password generation. It simplifies complex technicalities and highlights the practical relevance of this technology.

    1. The emphasis on real-world use cases makes it easier to grasp the significance of password generators in today’s digital environment.

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