in scientific computation and beyond

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.