Vázquez Álvarez, ÁlvaroVillalba Moreno, JulioAntelo Suárez, ElisardoLópez Zapata, Emilio2026-02-232026-02-232012-11Vazquez, A., Villalba-Moreno, J., Antelo, E., Zapata, E. L. (2012). Redundant Floating-Point Decimal CORDIC Algorithm. "IEEE Transactions on Computers", 61(11), 1551-15620018-93401557-9956https://hdl.handle.net/10347/46042In this work we propose a new decimal redundant CORDIC algorithm to manage transcendental functions, using floating-point representation. The algorithms determine the direction of the elementary rotation using sign estimations. Unlike binary redundant CORDIC, repetition of iterations are not required to ensure convergence since novel decimal codes have been carefully selected with sufficient redundancy to prevent any repetition. The algorithms are mapped to a low-cost unit based on a decimal 3-2 carry-save adder which can also be used as a floating-point decimal division unit. Compared to current decimal floating-point units, the implementation of our algorithm involves minor modifications of the native hardware, while providing a huge set of elementary functionsengPersonal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other worksCORDIC algorithmDecimal arithmeticCarry-save arithmetic330406 Arquitectura de ordenadoresRedundant floating-point decimal CORDIC algorithmjournal article10.1109/TC.2011.217open access