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The architecture and capability of a 32-bit VLSI Signal Processor (mSP32) are described in this paper. This processor can treat 16-bit integer, 32-bit integer and IEEE-format 32-bit floating point number. The instruction is 16-bit vertical type. It is simple and easy to understand. This processor is useful for digital signal processing, such as FFT or digital filtering. And this processor is available for numeric operation processor, too, as its floating point format is based on a IEEE-standard.