SOLUTION: what is 12345 to the power of 5 in base 2?

So therefore the answer is in the neighborhood of  which
means the answer will be a 67-digit binary number!  
So the 1st digit of the 67-digit binary number is 1. 

Now you could subtract  and
take its log base 2 and the whole part of that would tell
you the next digit that would be 1.  And so on and so on.

It could be done this way. I consider it unreasonable to ask 
anybody to calculate a string of 67 1's and 0's.  Are you 
sure that's what you were asked to do?

Edwin