(adsbygoogle = window.adsbygoogle || []).push({}); base representation plz help~

It is known that if a_{s}k^{s}+a_{s-1}k^{s-1}+...+a_{0}is a representation of n to the base k, then 0<n<=k^{s+1}-1.

Now suppose n=a_{s}k^{s}+a_{s-1}k^{s-1}+...+a_{0}and m=b_{t}k^{t}+b_{t-1}k^{t-1}+...+b_{0}with a_{s},b_{t}not equal to 0, are two different representations of n and m to base k, respectively. Without loss of generality we may assume t>=s. Without using Theorem 1-3(existance and uniqueness of such representation of an integer), prove directly that m not equal to n.

Many many thanks~~~

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Base representation ~

**Physics Forums | Science Articles, Homework Help, Discussion**