Abstract. In this paper we prove the optimality and other properties of the -adic nonadjacent form: this expansion has been introduced in order to efficiently compute scalar multip...
Roberto Maria Avanzi, Clemens Heuberger, Helmut Pr...
Double precision floating-point arithmetic is inadequate for many scientific computations. This paper presents the design of a quadruple precision floating-point multiplier tha...
Interval arithmetic provides an e cient method for monitoring and controlling errors in numerical calculations. However, existing software packages for interval arithmetic are oft...
In this paper, a double precision IEEE 754 floating-point multiplier with high speed and low power is presented. The bottleneck of any double precision floatingpoint multiplier des...
Himanshu Thapliyal, Vishal Verma, Hamid R. Arabnia
Interest in decimal arithmetic increased considerably in recent years. This paper presents new designs for decimal floating point (DFP) addition, multiplication, fused multiplyad...
Hossam A. H. Fahmy, Ramy Raafat, Amira M. Abdel-Ma...