Introduction. Arithmetic Systems for General-Purpose Processors. Arithmetic Systems for DSP Processors. Implementing Algorithms of Arithmetic Computations in FPGAS Using Simulink & Stateflow, Xilinx System Generator, and Altera DSP Builder. Simulation & Implementation Tools. Simulink: Computer Models Building for Dynamical Systems. Stateflow - Creating FSM Models. HDLs Design, Verification, Debugging and Implementation Systems. Link for ModelSim - The link Cosimulation Environment. Xilinx System Generator for DSP. Altera DSP Builder. Arithmetic Systems Modeling & Simulation. Basic Techniques of Computer Arithmetic Systems. Binary Addition/Subtraction Systems. Constructing and Arithmetic Logic Unit. Binary Multiplication Systems. Binary Division Systems.