Title :
Reliable floating-point arithmetic algorithms for Berger encoded operands
Author_Institution :
Dept. of Electr. Eng., Rhode Island Univ., Kingston, RI, USA
Abstract :
A set of reliable floating-point arithmetic algorithms for Berger encoded operands is presented. Closed-form equations are derived for floating-point addition, subtraction, multiplication and division. Given the IEEE floating-point number standard, the redundancy requirements of the proposed scheme are 39.47% for addition/subtraction, 45.65% for multiplication, and 45.44% for division of single precision numbers. The scheme uses only 16.14% for addition/subtraction, 36.44% for multiplication and 36.02% for division of double-precision numbers
Keywords :
digital arithmetic; Berger encoded operands; IEEE floating-point number standard; addition; closed form equations; division; double-precision numbers; multiplication; redundancy requirements; reliable floating point arithmetic algorithms; subtraction; Circuit faults; Digital circuits; Equations; Floating-point arithmetic; Roundoff errors; Very large scale integration;
Conference_Titel :
Computer Design: VLSI in Computers and Processors, 1992. ICCD '92. Proceedings, IEEE 1992 International Conference on
Conference_Location :
Cambridge, MA
Print_ISBN :
0-8186-3110-4
DOI :
10.1109/ICCD.1992.276196
