In a driving device for an LCD that enables accurate compensation of sub image data, a memory sequentially stores an image data in a frame unit. A memory controller reads out a previous image data corresponding to a previous frame from the memory, stores a present image data corresponding to a present frame in the memory and outputs the previous image data and the present image data. A first converter converts the present image data into a first sub image data and a second sub image data, and a second converter converts the previous image data output into a third sub image data and a fourth sub image data. A first compensator compensates the first sub image data using the third sub image data, and a second compensator compensates the second sub image data using the fourth sub image data.