Results 1 to 2 of 2

Math Help - Binary Representation of Real Numbers

  1. #1
    Junior Member
    Joined
    Jan 2010
    Posts
    54

    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?

    Thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Oct 2009
    Posts
    5,561
    Thanks
    785
    What do you mean by a binary representation of a set (of real numbers)?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: May 3rd 2011, 04:22 PM
  2. Replies: 3
    Last Post: November 22nd 2010, 07:39 AM
  3. Replies: 4
    Last Post: July 3rd 2010, 11:30 PM
  4. convert single numbers to 5 bit binary
    Posted in the Number Theory Forum
    Replies: 4
    Last Post: June 28th 2010, 06:18 PM
  5. Binary numbers
    Posted in the Math Software Forum
    Replies: 0
    Last Post: August 8th 2008, 04:57 PM

Search Tags


/mathhelpforum @mathhelpforum