Aigul K. Shaikhanova, Aleksandr D. Zolotov, Eldos M. Muhametov, Mikolaj P. Karpinski, Dinara O. Kozhahmetova, Evaluation of Time Complexity in Investigation of Methods of Modular Exponentiation, Research Journal of Applied Sciences, Volume 10,Issue 2, 2015, Pages 66-69, ISSN 1815-932x, rjasci.2015.66.69, (https://makhillpublications.co/view-article.php?doi=rjasci.2015.66.69) Abstract: Basic concepts of evaluation of algorithm complexity such as time and space complexity were considered by its consumption of basic computer resources. Comparative investigation of operations of binary, β and sliding window method of modular exponentiation with “left-to-right” and “right-to-left” reading bits of exponent was conducted. Keywords: Time complexity;space complexity;modular exponentiation;binary method;β method;sliding window method