I'm looking to buy a new monitor but I'm all confused and stumped by all these VGA, DVI and HDMI thingy... 

I'm playing with GTX 770 and looking for a monitor with resolution 1920x1080. I've already marked a few monitors but some of them are stated to be Full HD but without HDMI... What is HDMI exactly for? :S

For example this Acer S220HQL Full HD monitor. One comes with VGA + DVI + HDMI, while the other one only has VGA + DVI.

And right now, a seller is selling the same monitor (Full HD) and he stated that it comes with a DVI to HDMI cable. Is it good enough? Will it be full HD overall?

Thanks in advance. 

This monitor I'm looking to buy only has VGA + DVI ports. But I'll be given a DVI -> HDMI cable. What is the final output? Means I'll have HDMI in the end or does it work like that?

And do I really need it since I'm playing on PC and I use headset, no monitor speakers at all.

Currently now my monitor is connected to my GTX770 adapter (as shown in pic). If I've the new monitor with the DVI -> HDMI cable, then there's no way to use my GTX770 adapter. :/