Hi everyone, here is my dilemma. I have a first gen xbox 360 without the HDMI. The component inputs on my HDTV failed on me (both of them). I was thinking of buying a product that can convert analog signals to digital so I can use the HDMI port on my HDTV such as the XCM 360 HDMI converter I am certain this will work for my TV, but will it work for my 23" Cinema Display? It includes an HDMI to DVI converter. Here is a diagram of the product.