A display device which is used in a miniaturized portable information device can exhibit the low power consumption even when a display is not changed over for a long period in a state that a battery or the like is used as a power source. The display device can maintain a high numerical aperture by suppressing the number of parts even when a memory element is provided to a pixel. In a liquid crystal display device, a pixel exhibits the low power consumption by including a memory element and thus preventing the transmission of a video signal. By making use of a charge held in a pixel electrode of a liquid crystal display panel, a signal for AC driving is formed in the inside of a pixel thus performing AC driving to perform a display without deteriorating liquid crystal even when the video signal is not rewritten. The liquid crystal display device can realize the memory element with the simple constitution without sacrificing a numeral aperture.