AFAIK, on Linux .bin files are usually self-extracting files.
Things like the linux versions of the Oracle/Sun Java runtime and Flashplayer are often distributed as .bin files, which self-extract and then run an installer/script to install the program.
In order to use .bin files, you usually just need to run them. But you'll almost certainly need to make the file executable by changing its permissions before you'll be able to run it.
IMPORTANT NOTE: You should only change the .bin files permissions and run it if you are happy that it is from a trusted source and it is genuine! (a fairly basic bit of common sense, but I feel it's worth mentioning)
As long as you are happy that the file is genuine, or you're willing to take a risk, then you can proceed...
To change the permissions, you can usually do this graphically via your desktop file-manager by navigating to the files location and right clicking on it. Then select 'properties' and locate and tick a checkbox in the properties dialog to make the file executable.
Otherwise, you can do it from the command line:
chmod +x /path/to/filename.bin
where '/path/to/' is the path to your file and 'filename.bin' is the name of your .bin file
The next step is simply to run it, either by double clicking on it in your file manager, or via the command line:
If changing permissions and executing the file doesn't work with your .bin file, then you should repost with some more information about the file you downloaded.
E.g. The name of the software/file and where you downloaded it from.
This information should enable the community here to give you a more definite solution to your problem.
EDIT: A quick thought...
After changing the files permissions, you might need to run it as root, particularly if it's an installer. With this in mind; Assuming you're using Opensuse with KDE, you might need to use the kdesu command from the command line:
By entering the above command, you'll be prompted to enter your root password before the .bin file is ran.
NOTE: Only run as root if the .bin file requires it and as long as you trust the file.