A display device, and an apparatus and method for driving the display device are provided, to obtain a rapid speed in a calculation circuit for converting data of three colors to data of four colors, and to perform various algorithms for extracting white color data with one data converter. The apparatus in one embodiment includes a data driver for supplying video data signals to the respective sub-pixels; a gate driver for supplying scan signals to the respective sub-pixels; a data converter for extracting a plurality of white color signals by using three-color source data, and for generating white color data based upon a selection signal, so as to convert the three-color source data to four-color data; and a timing controller for supplying the four-color data outputted from the data converter to the data driver, and controlling the gate driver and the data driver.