@neojjjk - Before proceeding check if your monitor is HDCP compliant. If it is a simple HDMI to DVI-D cable will do the trick for video.
I think I have manually set the the resolution to 1920x1080 on my monitor despite it's native resolution being 1680x1050.
The only 2 games I have problems with are - Virtua Fighter 5 and Gran Turismo 5.
In Virtua Fighter 5 a bit of the screen goes outside the bounds.
In Gran Turismo 5 I get a letter box effect.