Connection between logarithms and changing numeral systesms.

I just found out recently that converting between number systems (i.e. decimal to binary) uses successive multiplications or divisions depending on the digit placement. Then it dawned upon me, so is this why logarithms and modulizing number systems are interesting in Number theory. I always wondered why they make computer engineers study number theory.

Its a pretty interesting topic to dive into.

I dont have any links really have links on this one. Mayber check out the history of logarithms and see the correlation.

I would look at the translated version of "Mirifici Logarithmorum Canonis Descriptio," and look at what mods do.

For instance, using the integer number system and modulizing it by 2, I build the set of number which could be represented as binary numbers.