The present invention comprises a system for remote control of garage doors and other devices wherein an extremely large number of codes are available for remote transmitters for operating the garage operator and wherein each transmitter has its own unique and permanent nonuser changeable code. The receiver at the garage door operator is capable of storing and remembering a number of different codes corresponding to different transmitters such that the receiver can be programmed so as to actuated by more than one transmitted code thus allowing two or more transmitters to actuate the same garage door operator and wherein the receiver stores the valid codes for the different transmitters.