%0 Journal Article
	%A Ahmed M. Mansour and  Ali M. El-Sawy and  Ahmed T Sayed
	%D 2014
	%J International Journal of Information and Communication Engineering
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 94, 2014
	%T A New Floating Point Implementation of Base 2 Logarithm
	%U https://publications.waset.org/pdf/9999600
	%V 94
	%X Logarithms reduce products to sums and powers to products; they play an important role in signal processing, communication and information theory. They are primarily
used for hardware calculations, handling multiplications, divisions,
powers, and roots effectively. There are three commonly
used bases for logarithms; the logarithm with base-10 is called
the common logarithm, the natural logarithm with base-e and
the binary logarithm with base-2. This paper demonstrates different
methods of calculation for log2 showing the complexity
of each and finds out the most accurate and efficient besides
giving insights to their hardware design. We present a new
method called Floor Shift for fast calculation of log2, and
then we combine this algorithm with Taylor series to improve
the accuracy of the output, we illustrate that by using two
examples. We finally compare the algorithms and conclude
with our remarks.

	%P 1352 - 1355