You sure can, I do for games and also for streaming movies on netflix
First look at what connections your tv has. Most will have HDMI and may have VGA (normally blue in color) and/or DVI (normally white in color) Next look at your computer, it will most likely have VGA (often blue in color) and/or DVI (often white in color) and possibly HDMI
For computer to tv, and with a game like WITP AE, there is no real difference in quality of image with these 3. I would use what 2 your computer and TV share, it is most likely VGA. You can get VGA cables for less than the other 2 tyeps and have cable lengths of 25 feet before any decline in quality.
For sound there may be an audio input on your tv, just use a male to male audio cable to go from the headphone jack to the tv and may be the "input source" that is paired with the VGA or DVI input on the tv (it is called a 3.5mm audio cable, also cheap to buy) You can also just use external speakers that you normally use with your computer. Even if you use HDMI, you will still need to get audio via speakers or a 3.5mm cable. Computers do not push audio through HDMI, they have to use a 3.5mm cable
Others posted about resolution which is good info.
Side note HDMI is great for things like blue ray players and it supports audi on same such devices but for PC connecting to a TV, there is no real diff. in image quality, only the $$ of the cables.
< Message edited by jamesjohns -- 12/2/2013 3:04:19 PM >