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What are machine numbers immediately to the right and left of $2^k$ ? How far is each from $2^k$?

Please, help!

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When you say machine numbers, you mean binary representation of integers ? If so, what is the representation of $2^k$...? What is the meaning of your second question ? How far for which metric ? Hamming's metric ? –  user37238 Sep 17 '13 at 9:19
By machine numbers I mean $IEEE_{754}$ –  John Lennon Sep 17 '13 at 10:04

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