A semiconductor device with a novel structure is provided. The semiconductor device includes a mixer circuit including a digital-analog converter circuit, a control circuit for controlling the digital-analog converter circuit, a power source control switch, and a plurality of Gilbert circuits. The plurality of Gilbert circuits each include an analog potential holding circuit for holding an analog potential output from the digital-analog converter circuit. The control circuit has a function of outputting a signal for controlling the analog potential holding circuit and the digital-analog converter circuit. The power source control switch has a function of stopping supply of a power source voltage to the control circuit in a period during which the analog potential held in the analog potential holding circuit is not updated. The analog potential holding circuit includes a first transistor. The first transistor includes a semiconductor layer including an oxide semiconductor in a channel formation region.