New
#11
To add some detail to "MisterEd's" (post 10), you can use a passive DVI-D to HDMI adapter.
VGA is purely analog, so it would take an active adapter to convert its signal to HDMI. I don't know whether such an adapter would pass the correct EDID information to the PC. (Extended Display Identification Data - Wikipedia)
I don't know the vintage of the PC. Its CPU was released in Q2 2012. Nice that it has an SSD, though.