A two-dimensional DCT system having a first calculation circuit, a rearrangement circuit, a second calculation circuit and a multiplier, and a two-dimensional IDCT system having a multiplier, a first calculation circuit, a rearrangement circuit, and a second calculation circuit. Each of these elements is adapted to receive data in a serial form, process the received data in its serial form, and output data in a serial form. As a result, serial-to-parallel converters and parallel-to-serial converters which may have a relatively large number of registers or hold circuits are not needed.
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