In Dark Souls for the PS3 and Xbox 360, the Asylum Demon is the first boss you’ll encounter before you even have any of your starting equipment. If you beat him when you first encounter him, you’ll be given the Demon’s Great Hammer as a reward, which has 138 attack power, but requires 46 strength to wield effectively.
Before you get your equipment, the only thing you have to fight with is a sheath to a sword, which isn’t going to do much damage to anything, let alone a giant demon. There is a way to beat this demon however without much effort.
When you are creating your character, choose the Black Firebombs as your Gift. This will give you ten Black Firebombs to start off with, and it only takes about five or six to kill the Asylum Demon and get your Demon’s Great Hammer.
Honestly, I wouldn’t really suggest going out of your way to do this however, since the Demon’s Great Hammer requires 46 strength to wield effectively, so you would have to pump every available point into strength for many levels just to able to wield it properly. You’re also giving up a more valuable gift in order to get the Black Firebombs as well.