In a data compensating circuit and a display apparatus having the same, a previous compressed data compressed from a previous frame data is previously stored in a memory, a decoder decompresses the previous compressed data from the memory to output a previous decompressed data, a coder-decoder compresses a present frame data into a present compressed data to store the present compressed data in the memory and decompresses the present compressed data to output a present decompressed data. A first processor outputs a difference value between the previous decompressed data and the present decompressed data, a second processor adds the present frame data and the difference value to generate a previous re-decompressed data. A compensator outputs a present compensation data based on the previous re-decompressed data and the present frame data. Thus, the size of the memory may be reduced while preventing damage of data.