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JasonRox

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We (or atleast I) don't think much of numbers 1 to 10 when writing proofs, and theorems.

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Explain your question

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Gokul43201

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The reason we use binar/ocs/hex is because of the powers of 2....binary being the simplest system for a computer...

now if your talking about language theory(compsci/math) ...then the digits are our alphabet like goku said.....and you can have as many digits in the alphabet.

and then you string them up to make a word(in this case a number)...now from settheory(and i think predicate calc/ or turing machines...the one that studies pred/succ)....your words follow an order(counting order and they must be sequenced because the number system represents counting) so in binary {0 1 10 11 etc.} and in decimals you get { 0 1 2 ..9, 10 etc}...each time you add an extra letter to the word its because you ran outta counting room....but remember you can't add new letters to the alphabet you can use only preexisting ones. so the sensible thing is to add the next letter infront fo the previous word. By all means i'm sure you could make a new system wher eyou add 2 letters to the front...but addign one ist he simplest.

And note that all these different number systems are bijections between each other because they are 1-1 & ONTO.

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