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Math Help - karnaugh map question

  1. #1
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    karnaugh map question

    Hello, just a simple question re. Karnaugh mapping.

    If I want to feed this into a Karnaugh map how would I do it.
    ie. how do you fill in a map when when you have an unequal # of variable terms ?
    I thought the terms would need to be equal.

    ABC + AB

    Thanks kindly.
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  2. #2
    MHF Contributor
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    AB corresponds to the blue rectangle, and ABC corresponds to the red one.

    In general, if the total number of variables is n and a minterm has k variables, then the number of cells of the Karnaugh map corresponding to this minterm is 2^(n-k). For example, here the total number of variables is 3. The minterm AB has 2 variables, so it has 2^(3-2) = 2 cells, and ABC has 2^(3-3) = 1 cell.
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