Function with no output for a given set of vales

Discussion in 'Homework Help' started by Code, Dec 4, 2005.

  1. Code

    Thread Starter New Member

    Nov 29, 2005
    3
    0
    Hey

    if function has no output for encoded numbers above a given number is there anything special when representing the algebraic expression?

    Example "1 if even, 0 otherwise.No output above 2."

    | X Y
    0 .. | 1
    1 .. | 0
    2 .. | 1
    3 .. | x

    So is this as simple as

    Function = X'Y' + XY'

    or is there anything else?

    Thank.
     
  2. aac

    Active Member

    Jun 13, 2005
    35
    0
    Yes, having combinations that are unspecified can allow some simplification. If there in nothing greater than 2, we can assign anything we want for the other numbers. this is usually refered to as a don't care. Since we dont care, we would assign 3 to be 0. This would let the function simplify to "Function = Y'.
     
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