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September 6th, 2019, 09:28 AM   #1
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Logarithm binary numbers

Hello everyone,

I am currently learning about binary numbers and I have stumbled on this problem: "write a function (log n) that calculates the logarithm (base 2) of number n. Number n is a positive binary number". (only using binary aritmethic operations)

I know this is a very basic question on this forum, but I have been thinking about it for a few evenings and have not found anything. As I am self-studying this subject, I cannot turn to anyone for a hint. Could someone help me on the way here?

A hint is to determine the most significant bit first, and to use a "divide-and-conquer" method for large numbers (64+ bit).

My strategy would be to find the most significant 1: its position would give me the integral part of the log. It is the fractional part I am kind of stuck on.

I thank you in advance.
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