Abstract: A multiplying device operates for implementing multiplication between multiplicand data and multiplier data in a two's complement representation form. Each of the multiplicand data and the multiplier data has n bits, where n denotes a predetermined even number. A 1-bit sign extension of the multiplicand data is executed to generate data having n+1 bits. In the multiplying device, n/2 partial product data pieces are generated on the basis of the data having n+1 bits and the multiplier data according to second-order Booth's algorithm. Each of the n/2 partial product data pieces has n+1 bits. There is a plurality of adders connected and arranged in a tree configuration. The adders operate for adding the n/2 partial product data pieces. The adders include a final-stage adder which outputs multiplication result data representing a product of the multiplicand data and the multiplier data. The multiplication result data has 2n−1 bits.