# How to know number of digits that are lost from condition number?

I've got the formula for computing the condition number of a problem:

Condition number = Rout / Rin where Rout is the relative error in output and Rin is the relative error in input. And if the condition number is 10^n then n digits are lost solving the problem?

Did I interpret this correctly? Can you give a good example since this is a bit theoretical?

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Condition numbers in general, or for a specific problem? –  Ｊ. Ｍ. Aug 7 '12 at 8:30
@J.M. It's homework so I must learn condition numbers in general and preferably from examples. The only instructions I have are just the formula so I could need good examples. –  909 Niklas Aug 7 '12 at 8:53