One considers the problem of finding hard to round cases of a periodic function for large floating-point inputs, more precisely when the function cannot be efficiently approxim...
Numerical integration is an operation that is frequently available in multiple precision numerical software packages. The different quadrature schemes used are considered well stu...
Decimal multiplication is important in many commercial applications including financial analysis, banking, tax calculation, currency conversion, insurance, and accounting. This p...
Mark A. Erle, Michael J. Schulte, Brian J. Hickman...
Abstract— This paper explores the use of the double-base number system (DBNS) for constant integer multiplication. The DBNS recoding scheme represents integers – in this case c...
Vassil S. Dimitrov, Laurent Imbert, Andrew Zakaluz...
Abstract. We present efficient squaring formulae based on the Toom-Cook multiplication algorithm. The latter always requires at least one non-trivial constant division in the inte...
An emerging nanotechnology, quantum-dot cellular automata (QCA), has the potential for attractive features such as faster speed, smaller size, and lower power consumption than tra...
This paper presents the detailed design of the ARM VFP11 Divide and Square Root synthesisable macrocell. The macrocell was designed using the minimum-redundancy radix-4 SRT digit ...
The draft revision of the IEEE Standard for FloatingPoint Arithmetic (IEEE P754) includes a definition for decimal floating-point (FP) in addition to the widely used binary FP s...