Xbox 360 to DVI or similar cable

I have a really bad itch to play some of my old childhood memory games. In particular, Halo 1 and 2 plus Fable. Is there a way to hook up my xbox to my monitor. I have a dvi and an vga cable input on both monitors. Any ideas or thought. I looked on amazon, but I dont really know what im look ing for

Sound is going to be the issue. 

But you could go:

HTMI on the xbox > DVI on the monitor for video  

Optical/RCA Audio adapter on the Xbox > RCA to 3.5mm female convertor >  PC speakers  for audio