In a display control circuit of this invention, a write gray scale level determining part outputs write gray scale level data for performing overshoot drive on a liquid crystal display device. Moreover, an achievable gray scale level determining part outputs achievable gray scale level data indicating a gray scale level which achieves after a lapse of one frame. Further, an error noise predicting part compares, with a predetermined threshold value, predicted values as differences between gray scale level values of plural pieces of input image data and a mean gray scale level value of these gray scale level values to control a data selecting part such that when at least one of the predicted values exceeds the threshold value, the data selecting part gives, to an image compressing part, the input image data rather than the achievable gray scale level data predicted that a decoding error becomes large. This configuration allows suppression or elimination of after-image noise.