An object of this invention is to provide a semiconductor device (an RFID) with reduced loss of voltage/current corresponding to a threshold value of a transistor, and having a voltage/current rectification property. Another object of this invention is to simplify a fabrication process and a circuit configuration. A rectifier circuit is provided in an element included in a semiconductor device (RFID) capable of communicating data wirelessly. As compared to the case where only a diode is provided, coils are provided between gate terminals and drain terminals of transistors constituting the diode in a rectifier circuit, so that the coils overlap an antenna which receives a radio wave, whereby a voltage output by the rectifier circuit is increased using electromagnetic coupling between the antenna which receives a radio wave and the coils, so that the rectification efficiency is improved.