I am planning to get a 360, but i am wondering,

If i get a moded 360, and there is a risk for me that i might get banned from XBL if i were to play ahem games online.

What if i play an original game witha moded xbox360? Will i still be banned from XBL ?

And , what cables are needed for me to play my 360 on my dvi monitor.. (it has vga too) . And how much would it cost?

Thanks guys, anyways just wanted to confirm only whether the ban is locked to the games or to the console. I guess it's to the console like Lord_ashe said..

Thank you once again. Thread shall be closed.