Method and apparatus for calculating X to the Exponent of Y

Electrical computers: arithmetic processing and calculating – Electrical digital calculating computer – Particular function performed

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708512, G06F 738

Patent

active

061286389

ABSTRACT:
A hardware implementation solves for the value of X.sup.Y, where X and Y are real (fixed point or floating point) numbers by using the formula X.sup.Y =exp (log.sub.e (X.sup.Y))=exp(ln(X.sup.Y))=exp(Y*ln(X)). A fixed point representation of X, output from a flip-flop, is used to address a floating point data output from an ln(X) ROM lookup table. The floating point data output is output from a second flip-flop and multiplied by Y in a multiplier to yield a product. The product is output from a third flip-flop to address a fixed point data output from an exp(X) ROM lookup table. The fixed point data output is latched by and output from a third flip-flop. The fixed point data output approximates X.sup.Y, using a minimal amount of die area on the semiconductor and minimal amount of processing power. Also, the present invention can be fully pipelined, such that one calculation can be conducted every cycle and operations can occur simultaneously.

REFERENCES:
patent: 4158889 (1979-06-01), Monden
patent: 5553012 (1996-09-01), Buss et al.
patent: 5926406 (1999-07-01), Tucker et al.

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