Binary logarithms for computing integral and non-integral roots and powers

Publisher Website
Google Scholar
Abstract
This paper suggests a method of utilizing binary logarithms to compute the power, root, or any exponential of a number. It is an extension of Mitchell's (1962) technique. Due to the approximation of the binary logarithms, there will be errors in the calculations of the results. However, using this method, no logarithmic tables are required. Approximations to binary logarithms are very easy to generate by simple shifting and counting. Evaluating power, roots, and any exponent of a number is reduced to simple addition and subtraction operations. Finally the approximation error might be reduced hy adding a fixed number to correct the binary logarithms.

This publication has 0 references indexed in Scilit: