The best option you have is the HDMI connectivity. It is basically a DVI with audio-out technology, so don't worry about any signal quality loss.
Before that, we need to know what video device you are using!
Link us to it to check if it does support HDMI audio, or simply right click on the speakers' icon on the taskbar next to the clock and/or date, click on "playback devices" and check on the coming list if there is a "High Definition Audio Device" speakers available!
If it is there, you most likely do have a supporting video device!
If you have an HDMI cable ready at hand, go ahead and try after right clicking on that audio device we just found then choose "set as default".
If you don't have an HDMI cable available, link us to the video card you have to make sure it does really support HDMI audio, before wasting money on a cable!
Awaiting your feed back...