Title :
Residue arithmetic with a signed-digit number system
Author :
Wei, Shugang ; Shimizu, Kensuke
Author_Institution :
Dept. of Comput. Sci., Gunma Univ., Japan
Abstract :
A new concept in residue arithmetic based on a radix-2 signed-digit (SD) number system is presented, by which memoryless residue arithmetic circuits using SD adders can be implemented. Conventional residue arithmetic circuits have been designed using binary number arithmetic system, but carry propagation arises which limits the speed of arithmetic operations in residue modules. In this paper, a p-digit radix-2 SD number system is introduced to simplify the residue operation. For a given modulus m, 2p-1\n\n\t\t
Keywords :
adders; residue number systems; memoryless residue arithmetic circuits; modulo m addition time; modulo m multiplier; p-digit radix-2 signed-digit number system; residue arithmetic; signed-digit adders;
Conference_Titel :
High Performance Computing in the Asia-Pacific Region, 2000. Proceedings. The Fourth International Conference/Exhibition on
Conference_Location :
Beijing, China
Print_ISBN :
0-7695-0589-2
DOI :
10.1109/HPC.2000.846576
