Open your terminal and go to ~$ cd /Downloads (where ~/Downloads is the folder where you bin file is)
Give it execution permissions (just in case it doesn't have it already):
~/Downloads$ sudo chmod +x filename.bin
Write: ./ followed by the name and extension of your bin file. In this example it would be: ~/Downloads$ ./filename.bin

# simply...
$ chmod a+x # add sudo if permission is required
$ ./filename.bin # add sudo if necessary