Copying a Game from a Disc to the Xbox 360?

I have some old Xbox games and I wasn't sure if I could copy them to the console. That way I don't need the disc. is this possible?

Suggestion:

No, the only thing you can do is download old games from the xbox live marketplace and play them from your hard drive. Copying games to your console just makes them load quicker,but you will always need the disk(unless their saved to the hard drive).