i have a sony LCD tv with a 'hdmi' and 'dvi' input.
People keep talking about DVI-to-HDMI cables, but since your TV has a DVI input it seems to me that the natural thing to do is connect your mini to the TV's DVI input with a plain DVI cable. (Plus a separate cable for audio.)
all i want to do is connect my mac to tv with AUDIO and VIDEO in ONE connection.
is this possible...
No, since your Mini doesn't have a single port that carries both audio and video.
You could run two cables out of your Mini into some kind of converter, then a single cable from the converter to your TV's HMDI port. The $300 Gefen converter box mentioned by seattleda would seem to do this, but is hardly cost effective.