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I'm wondering how the monitor connects via the hdmi or dvi. Would it go to the motherboard or graphics card?
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Well it would go to the graphics card. However, some motherboards have something called integrated graphics but don't worry about that, most likely that would NOT have HDMI. Another thing to know is that if you have an HD TV, you can use the HDMI out and use it as a monitor (that is, if your graphics card has an HDMI port); although refresh rates might not be as good as a desktop monitor, but that's a whole 'nother story. Good luck!