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So I really only came here for one question, since I have no idea what it's called.

Let's use a comparison to make it a bit easier.

  • I have two coins of the value '1'.
  • When I add those together, I get one coin that is worth '2'.
  • When I add two of those(2) together, I get a coin that is worth '3'
  • Ect. Ect.

I realize it might not be the greatest question ever, but what is counting/adding like this called? And is there a formula to easily calculate how many of the coins worth '1' I need to make a coin worth 'X'?

Thanks in advance, and forgive me for asking a possibly easy to answer question.

user829347
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1 Answers1

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In this instance it takes $2^{n-1}$ coins of value 1 to get a coin of value $n$. You might say that the coin values combine logarithmically, but that wouldn't be totally clear unless you give the explanation you already did.

Jakob Hansen
  • 1,387