Intel HD 2000 graphics with DVI

Hi. Not an expert on graphics -- I bought a Dell Inspiron 620 with Intel i5 2320 running Windows 7 64 bit. The graphics are on the mother board and the only information I can find is  that is Intel HD Graphics. So my problem is my monitor has a DVI connector and no HDMI. I bought a cable to go from HDMI to DVI and it will not display. It boots to the "Starting Windows" display and then goes blank. It appears to be only leading Analog and not digital. The Dell support guys says the videio will only dsiplay hdmi to hdmi, but they also said it would only diaply VGA or digital so I have learned not to trust what they say. Does Intel HD not support DVI monitors? Thanks for any sage advice.