yes they make DVI to HDMI converters you can get a cable terminated this way. HDMI can pass the DVI digital signal and audio on the same cable is the only difference over a longer distance
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You have a choice of either a DVI-HDMI cable or using a DVI-DVI cable and add a DVI-HDMI adapter.
Here is a source for a factory terminated DVI-HDMI cable:
http://www.pccables.com/ Go to the HDTV section for selection
AudioAdvisor has an AudioQuest DVI-HDMI adapter in their paper catalog, but I could not find it on their website. Some of my local stores carry an adapter too.