ATV2

The HDMI port on my television is broke and unfortunately it only has one. I tried to connect the ATV2 via an HDMI to VGA cable, but when I change the input on the tv to HDMI/DVI, I get the 'No Signal' message. I've also tried the RGB-DTV input with the same result. Is there any other thing I can try besides having to buy another tv which it looks like I may be headed down that road?