A composite mouse assembly for a computer includes a mouse case. A computer interface encoder is contained in the mouse case. A positional sensor is connected to the interface encoder for controlling a screen indicator used for selecting menu items appearing on a display screen of the computer. A wireless remote control device is connected to the positional sensor and includes a plurality of user-activated direction control keys for transmitting digital serial encoded signals. A receiver unit is contained in the mouse case for receiving and amplifying the digital signals transmitted by the remote control device. A decoder is provided for interpreting the digital signals transferred by the receiver unit into one of a plurality digital direction control signals corresponding to the direction control keys of the remote control device. A converter converts the digital direction control signals to analog signals. The analog signals are transferred to respective input ports of the positional sensor of the interface encoder to control the position of the indicator on the display screen.