I'm staying at a friend's place, and I have downloaded my Xbox Live profile onto his console. I have figured out how to download items (DLC, etc.) I had previously downloaded (to my own console), onto his console while signed into Xbox Live with my gamertag. However, if I purchase new games I have never before downloaded, and I download them to his console while signed in with my gamertag, will they be assigned to his console permanently? If so, is there a way to re-assign them to my own console later?