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Binary and hexadecimal expansion

  1. Dec 11, 2012 #1
    1. The problem statement, all variables and given/known data
    Show that the binary expansion of a positive integer can be obtained form its hexadecimal expansion by translating each hexadecimal digit into a block of four binary digits.


    2. Relevant equations



    3. The attempt at a solution
    I know that this is true but I have no idea how to show it. Any pointers?
     
  2. jcsd
  3. Dec 11, 2012 #2

    mfb

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    2016 Award

    Staff: Mentor

    If you have number given as ##a_n 16^n + a_{n-1} 16^{n-1} + ... + a_0##, can you express it as binary number? This expression is unique, so once you find some way to represent the number you are done.
     
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