Mini ITX ----> HD video?

I'm looking at building an ITX home theater system, for some giggles. Total price is probably only gonna run me $500, which would make it a fun project. However, the trick is I'm going to fit it into an old nintendo. (Broken, of course.) I was wondering if the on board video for these boards (Geforce 7100, ish. Some around Geforce 7000) would be able to run 1080p video. All of them have HDMI/DVI outs, but that doesn't necessarily mean it can do it. Just wondering, because I probably couldn't fit an after market card into a nintento, which would kill the project for the time being.