A display apparatus includes an encoder which compresses first image data to generate second image data, a decoder which recovers the first image data to generate third image data, and a display panel which displays an image, in which the encoder separates the first image data into a plurality of sub-color data, and generates a low frequency component of minor sub-color data among the plurality of sub-color data and the remaining sub-color data as the second image data, and the decoder generates recovery minor sub-color data corresponding to the minor sub-color data by using the low frequency component of the minor sub-color data and the high frequency component of one of the remaining sub-color data in the second image data, and generates the recovery minor sub-color data and the remaining sub-color data as the third image data.