Why Your Password Is Weaker Than You Think: Entropy Explained

I used to think "Tr0ub4dor&3" was a strong password — uppercase, lowercase, numbers, symbols. Wrong. That password has about 28 bits of entropy and would be cracked in seconds by a modern GPU. Meanwhile, "correct horse battery staple" — four random words — has 44 bits and would take years.

How Entropy Works

Entropy = log2(charset^length). A password with only lowercase at 8 characters: 26^8 = 38 bits. Add uppercase, numbers, and symbols to the same 8 characters: 95^8 = 53 bits. But here is the key: a 16-character all-lowercase password: 26^16 = 75 bits — millions of times stronger.

Length beats complexity.

How Our Generator Works

The Password Generator uses crypto.getRandomValues() — a cryptographically secure RNG that pulls entropy from your OS hardware random source. Unlike Math.random() (predictable), this provides genuine randomness. A 16-char password with all charsets enabled has ~105 bits of entropy — effectively uncrackable.

Recommendations

• Use a password manager for unique passwords everywhere
• Minimum 12 characters; 16+ for email and banking
• Enable 2FA on all important accounts
• Test your existing passwords with our Password Entropy Calculator

This article was written by UnTrackedTools founder Alex Chen, based on real security research and practical experience.