Title :
A new RNS to mixed-radix number converter using modulo (2p - 1) signed-digit arithmetic
Author :
Wei, Shugang ; Shimizu, Kensuke
Author_Institution :
Dept. of Comput. Sci., Gunma Univ., Maebashi
Abstract :
In this paper, a hardware algorithm converting the numbers in a residue number system (RNS) to that in a mixed-radix number system by using signed-digit (SD) arithmetic is presented. In each residue digit of the RNS, integers mi = (2Pi - 1) are used as the moduli and the modulo m addition and multiplication can be performed by an end-around-carry SD adder and a binary modulo m SD adder tree, respectively. Thus a high speed converter can be designed by using the proposed modulo m SD adders and multipliers
Keywords :
algorithm theory; digital arithmetic; number theory; residue number systems; SD adder; hardware algorithm; mixed-radix number converter; modulo addition; modulo multiplication; residue number system; signed-digit arithmetic; Adders; Algorithm design and analysis; Binary trees; Circuit simulation; Circuit synthesis; Computer applications; Computer science; Digital arithmetic; Equations; Hardware;
Conference_Titel :
Circuits and Systems, 2004. Proceedings. The 2004 IEEE Asia-Pacific Conference on
Conference_Location :
Tainan
Print_ISBN :
0-7803-8660-4
DOI :
10.1109/APCCAS.2004.1412774
