Ok, I’m trying to understand the reason to use salt.
When a user registers I generate a unique salt for him/her that I store in DB. Then I hash it and the password w
If you don't use a salt then an attacker can precompute a password<->hash database offline even before they've broken into your server. Adding a salt massively increases the size of that database, making it harder to perform such an attack.
Also, once they've broken in they can guess a commonly used password, hash it, and then check all of the passwords in the database for a match. With a different salt for each user, they can only attack one password at a time.
There's an article at Wikipedia about salts in cryptography.