G. Alia et E. Martinelli, LOGIC DESIGN OF A FAST CIRCUIT FOR ITERATIVE ADDITIONS IN REDUNDANT HYBRID NUMBER-SYSTEMS, Computer journal (Print), 41(1), 1998, pp. 45-51
Repeated modular additions and overflow detection are possible in redu
ndant hybrid number systems (RHNS). In this paper a circuit is propose
d that implements the overflow-detecting procedure in such systems and
allows a mean addition time of about 10.5 gate delays for numbers hav
ing a magnitude order normally distributed in the range [-2(33), 2(33)
- 1]versus a 14 gate delay required by 32-bit CLA adders.