http://www.geek.com/apple/geek-101-how-to-format-a-mac-hard-drive-1485995/
Mac should be able to read/write ntfs, exfat, and fat32 (as well as the mac formats)
What i dont know is what format your tv needs . I would try ntfs first actually. exfat is newer.
Be sure to copy your stuff to the mac before you start, we dont want you loosing anything.