Title :
Higher radix square root with prescaling
Author :
Lang, Tomás ; Montuschi, Paolo
Author_Institution :
Dept. d´´Arquitectura de Computadors, Univ. Politecnica de Catalunya, Barcelona, Spain
fDate :
8/1/1992 12:00:00 AM
Abstract :
A scheme for performing higher radix square root based on prescaling of the radicand is presented to reduce the complexity of the result-digit selection. The scheme requires several steps, namely multiplication for prescaling the radicand, square root, multiplication for prescaling for the division, and division. Online algorithms are used to reduce the overall time and pipelining to reuse the different modules. An estimate of the execution time for a radix-256 unit for double-precision square root and a comparison with other implementations indicate that the proposed approach is an alternative to consider when designing a square-root unit
Keywords :
digital arithmetic; dividing circuits; multiplying circuits; number theory; complexity; division; double-precision square root; higher radix square root; multiplication; online algorithms; pipelining; prescaling; radicand; result-digit selection; Approximation methods; Digital arithmetic; Hardware; Pipeline processing;
Journal_Title :
Computers, IEEE Transactions on