Methods and applications of error-free computation
Methods and applications of error-free computation
The fast Fourier transform and its applications
The fast Fourier transform and its applications
Computing a matrix symmetrizer exactly using modified multiple modulus residue arithmetic
Journal of Computational and Applied Mathematics
Discrete weighted transforms and large-integer arithmetic
Mathematics of Computation
Solving linear programming problems exactly
Applied Mathematics and Computation
A simple technique for digital division
Communications of the ACM
On a divide-and-correct method for variable precision division
Communications of the ACM
On the normalization requirement of divisor in divide-and-correct methods
Communications of the ACM
Arithmetic Algorithms in a Negative Base
IEEE Transactions on Computers
Deterministic Division Algorithm in a Negative Base
IEEE Transactions on Computers
On Range-Transformation Techniques for Division
IEEE Transactions on Computers
Economical Iterative and Range-Transformation Schemes for Division
IEEE Transactions on Computers
Complementary Two-Way Algorithms for Negative Radix Conversions
IEEE Transactions on Computers
A guided tour of the fast Fourier transform
IEEE Spectrum
Golden ratio in science, as random sequence source, its computation and beyond
Computers & Mathematics with Applications
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Certain decimal numbers have special characteristics unlike those of most others. These sometimes have enormous physical significance, or very interesting mathematical/scientific properties, or both at the same time. The present article attempts to explore the significance of the decimal number 2^n, the logarithm to base 2, and the binary equivalence (representation) corresponding to 2^n both in the physical/natural world and in the pure mathematical environment, specifically in the area of computer/computational science. Also, among the number systems in different bases, the status of the base 2^n, specifically for n=1, in the realm of computational/computer science is also stressed.