Abstract

Beyond-binary arithmetic algorithms are defined as a new class of computer arithmetic algorithms which employ non-binary data representations to achieve higher performances beyond those of conventional binary algorithms. This paper presents prominent examples of beyond-binary arithmetic algorithms: examples include (i) a high-radix redundant division algorithm without using lookup tables, (ii) a high-radix redundant CORDIC algorithm for fast vector rotation, and (iii) redundant complex arithmetic algorithms for fast real/complex-mixed computations.

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