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Thread: Binary Representation of Real Numbers

  1. #1
    Junior Member
    Jan 2010

    Binary Representation of Real Numbers

    Hey everyone,

    I have question that is asking to show that the set of real numbers has no binary representation. I understand that real numbers cannot have a one to one correspondence with natural numbers. I also understand that the real numbers are an uncountable infinity and natural numbers are a countable infinity. I am a bit lost on how to use this information to prove this. Can anyone help me make the connection?

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  2. #2
    MHF Contributor
    Oct 2009
    What do you mean by a binary representation of a set (of real numbers)?
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