There is provided a display apparatus comprising: a backlight configured to output a first and a second light having a first and second color during a first and second field of a frame; a mapper configured to map an input image signal into a first and a second mapping data corresponding to the first and second light; a compensator configured to compensate a first and a second color mapping data on a basis of a first and a second DCC compensation data so as to generate a first and second color output image data; and a liquid crystal panel comprising a transmissive sub pixel configured to modulate the first and second light on a basis of the first and second color output data to display a first image having the first color and a second image having the second color.