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FPGA-based digital multiplier design: the number of multiplicative noise is the use of digital signal processing in the most extensive one of the implementation of components, the paper design of the three types of FPGA-based digital multiplier. Shift sum are noise multiplication, adder tree multiplier and the sum of a displacement hybrid adder tree multiplier noise. Through the simulation of three options to building a comprehensive comparison of the speed and size that the multiplier is one of the best hybrid design