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The design methodology of a multiplierless predictor is presented for differential pulse code modulation (DPCM) of images. Multiplierless implies that each coefficient of the predictor is a power-of-two number. Therefore, all multiplications can be performed by simple shifting operations. The predictor is designed as a two-dimensional (2-D) HR filter with periodic coefficients. Simulation results illustrate the efficiency of the proposed predictor in the DPCM of images.