A high speed moving image processing section of a liquid crystal display device includes: a calculation section having a plurality of LUTs in accordance with which an output for performing overshoot drive is obtained with reference to current frame data and previous frame data; and a frame memory in which a video data signal of a previous frame is stored. During each writing period in a single frame period, the calculation section carries out data conversion for performing the overshoot drive by using a video data signal, transmitted from the host device, as current frame data, and by using a video data signal, read out from the frame memory, as pervious frame data. Further, an LUT for performing the overshoot drive is switched in every writing period.