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Mod-2 function?

  1. May 12, 2014 #1
    4. Definition: A bijection from a set A to itself is called a permutation of A.

    (i) Let A = {0, 1, 2, 3, 4} and let f : A -> A be the mod-2 function.
    Is f a permutation of A? Justify your answer


    Can somebody explain how to find a mod-2 function for A? I know that a mod-2 function is basically the remainder of the input and 2.

    Can't figure this out.
     
  2. jcsd
  3. May 12, 2014 #2

    pasmith

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    Homework Helper

    You have answered your own question: the mod-2 function gives you the remainder when the argument is divided by 2.
     
  4. May 12, 2014 #3

    HallsofIvy

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    0 (mod 2)= ?
    1 (mod 2)= ?
    2 (mod 2)= ?
    3 (mod 2)= ?
    4 (mod 2)= ?

    As you said, divide each by 2:
    0 divided by 2= 0 with remainder 0.
    1 divided by 2= 0 with remainder 1.
    2 divided by 2= 1 with remainder 0.
    3 divided by 2= 1 with remainder 1.
    4 divided by 2= 2 with remainder 0.
     
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