Title :
On the Generalized Binary System
Author :
Bhuyan, Laxmi N. ; Agarwal
Author_Institution :
Department of Electrical and Computer Engineering, Wayne State University
fDate :
4/1/1982 12:00:00 AM
Abstract :
In this correspondence we derive algorithms for multioperand addition of Koren´s generalized number system. A carry-lookahead adder for fast addition of two operands in generalized binary numbers is developed. Truncation errors for this type of representation are examined and rounding algorithms are presented to reduce these errors.
Keywords :
Carry-lookahead; generalized binary system; multiple addition; truncation and rounding errors; Art; Convergence; Counting circuits; Finite wordlength effects; Floating-point arithmetic; Notice of Violation; Roundoff errors; Springs; Carry-lookahead; generalized binary system; multiple addition; truncation and rounding errors;
Journal_Title :
Computers, IEEE Transactions on
DOI :
10.1109/TC.1982.1676003