Abstract: Devices for computing discrete cosine transform, inverse discrete cosine transform or reduced ones, which require fewer transistors and less chip area, and which operate at a higher speed than those of the prior art. For example, the DCT/IDCT processor in the present invention essentially includes a matrix summation device and a plurality of shift adders. The matrix summation device computes a plurality of binary vectors from bits of an input vector, respectively for each term of an output vector. The shift-adding means respectively compute the terms of the output vector by sequentially left-shifting and adding the corresponding binary vectors.