RE: Number crunching curios
December 19, 2013 at 12:38 pm
(This post was last modified: December 19, 2013 at 12:39 pm by LastPoet.)
(December 19, 2013 at 8:21 am)Godschild Wrote: Does anyone know why nine works the way it does?
GC
Simplifying, it is because after 9 in the the decimal system, you need to 'carry one' into the next position. It happens whenever you try to make a representation of said number in a given base. 0xf,ffffffffffffffffffffffffffffffff.... is equal to 10 in hexadecimal base, 16 in decimal. If you will, it is a flaw on our representation of decimal numbers, as the same number can have more than one decimal presentation (or any other base). To mathematical concern, it is sufficient to represent 1 or 0,99999999999.... as the same number.
We are taught in the decimal system, and it does provide us with ease on calculations, all of those that want to learn more should take a course in Analisys.
