A display device including a display configured to display a received broadcast; a user input interface configured to receive a signal from a remote control device; and a controller configured to: when a function key setup mode entry signal is received from the remote control device, display a plurality of keys of the remote control device on the display, the plurality of keys respectively including images of numeric keys for inputting a desired number, display a mapped application icon on the image of a key to which an application is mapped among the plurality of keys, in response to a first preset input on the image of the key to which the application is mapped, input the desired number, and in response to a second preset input on the image of the key to which the application is mapped, stop the broadcast and execute the application.