Can I connect a projector with HDMI to my Mac Pro's DVI connector using an adapter? I am interested in purchasing a projector that has native resolution of 1024x768. 
The projector has HDMI connector and VGA connector. I want to connect it to my Mac Pro computer which has only DVI connectors.  

Can I simply connect a DVI cable to my Mac and then attach this cable to the projector with a DVI/HDMI adapter?  

Will this maintain high quality video?
You can get DVI to HDMI adapters from around $4 online on Amazon, (just search for ‘DVI to HDMI’ on any online shopping site). As for the quality, most of the adapters that I have seen are able to do HD video and such. 
Hope this helped!