Realplayer is available in the repositories. Not sure what section, but just
search for it. Also Helix player is the open source Realplayer compatible media
player. One or the other should be available to you.

As for bin files, Linux does not have executable file types per se. Instead
files can be executed if there permissions are set to execute. Right click on a
bin file and click on Properties. Then click on the Permissions and check the
Execute box. You can also work from the commandline as here:
www.cyberciti.biz/.../

Once the file is made executable then you open a terminal and change to the
folder where the file is. A terminal will automatically open in your home
folder. If the file is on the desktop then just type cd /Desktop (usually just
the capital D plus [tab] will complete the line unless you have more than one
folder with a capital D. In KDE you can open the terminal from the desktop from
Konqueror and in Gnome you can do it if you have the Nautilus addition to open
terminal, but the terminal will work the same in either.

Once the file is changed to be executable then just type: ./filename.bin
In the case of Realplayer you can use the same [tab] shortcut by typing
./Re[tab] and the terminal will complete the line. Press enter.