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This video is how to mod a PS2 so you can do a hot-swap. A common misconception is that you can play ANY game using a hot-swap. THIS IS WRONG! You need to use the original, to hot-swap to the backup. It's useful for games, such as guitar hero, where you have custom tracks on the backup disks or when the origional becomes damaged but still (partly) loads.
In order to actually Hot-Swap to a PS2 backup disk (without the original) you need to either use a memory card exploit on your system (soft-mod) or have a PS2 disk that is designed for hot-swapping (such as Swap Magic).
There is a built-in exploit in how the PS2 loads PS1 games that DOES allow the hot-swap method to work with ANY PS1 backup, but you need to use an original (doesn't need to be the same game) PS1 disk to swap to the PS1 backup. Just swap the disks when the PS1 logo pops up on the screen.
ADDITIONAL NOTE: Be careful when you're swapping disks. By disabling the brake the disk will NOT stop spinning when you open the lid and there is a chance of cutting your finger on the spinning CD. Consider yourself warned!
Hope you enjoy, happy gaming!