A General Hardware-Oriented Method for Evaluation of Functions and Computations in a Digital Computer

A parallel computational method, amenable for efficient hardware-level implementation, is described. It provides a simple and fast algorithm for the evaluation of polynomials, certain rational functions and arithmetic expressions, solving a class of systems of linear equations, or performing the basic arithmetic operations in a fixed-point number representation system. The time required to perform the computation is of the order of m carry-free addition operations, m being the number of digits in the solution. In particular, the method is suitable for fast evaluation of mathematical functions in hardware.