Tremy :
On a motherboard the realtek sound IC burned and its causing a short, if I were to remove this IC and not put a new one in its place, would the rest of the board still work?
It's hard to tell if the IC burning itself has stopped your PC form booting, What could have caused the chip to burn in the first place?
If it was a short and the chip was faulty, yeah you can replace it and get your PC running. But, there are other things too, like "Does the chip require a program to run?" . As far as driver chips go, they already come application ready.
I once tried to fix a downed laptop, hunted and bought the chip, soldered it and viola! It didn't work. Then I got to know that the chip comes empty form the factory and the user is supposed to burn a program in it before using.
What's the chip's exact name?