A processor which executes positive conversion processing, which converts coded data into uncoded data, and saturation calculation processing, which rounds a value to an appropriate number of bits, at high speed. When a positive conversion saturation calculation instruction “MCSST D1” is decoded, the sum-product result register 6 outputs its held value to the path P1. The comparator 22 compares the magnitude of the held value of the sum-product result register 6 with the coded 32-bit integer “0x0000_00FF”. The polarity judging unit 23 judges whether the eighth bit of the value held by the sum-product result register 6 is “ON”. The multiplexer 24 outputs one of the maximum value “0x0000_00FF” generated by the constant generator 21, the zero value “0x0000_0000” generated by the zero generator 25, and the held value of the sum-product result register 6 to the data bus 18.