can you install os x?

can you install os x just like on your computer while having atv on your apple tv as well?

Yes you can, but it is not easy at all. You need to remove the hard drive from the Apple TV, install OS X, do some hacking, and then pop the drive back in. And there’s even more to do after that possibly. Just look here for more info:

As for running the Apple TV “Backrow” application in OS X, that is possible as far as I know, but again you might have to do some major hacking to get it to work.