Since the license code is only valid in a specific operating environment and for a specific instance identifier, it is not possible to simply install Application Server on another computer and run it with the same license (e.g. by restoring a backup on another computer).
If you plan to move your installation of the Application Server to a different computer you will have to request a new license code. For this you will again need the product key you received with your purchase. Please read requesting a license code for restrictions that apply to re-requesting a license code.