Representation Of Integers

Given an integer b>1,any positive integer N can be written uniquely in tems of powers of b as



where the coefficient .

Example 1

N=10,b=2

First step.
10=5•2+0
5=2•2+1
2=1•2+0

Second step.
Let b=2.



Example 2

Let N=105,b=3.
105=35•3+0
35=11•3+2
11=3•3+2
3=1•3+0

Let b=3.

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