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Math Help - Truth Table

  1. #1
    Newbie
    Joined
    Oct 2007
    Posts
    14

    Truth Table

    So the actual application for this is logic gates, kmaps, and circuits, but the logic is basically just math.

    Say I have the following formula...

    A + BA|C + D

    I think you guys would probably prefer to see it like this

    A => (B & ČA & C) => D

    Would this result in

    A B C D | F
    0 0 0 0 | 0
    0 0 0 1 | 1
    0 0 1 0 | 0
    0 0 1 1 | 1
    0 1 0 0 | 0
    0 1 0 1 | 1
    0 1 1 0 | 1
    0 1 1 1 | 1
    1 0 0 0 | 1
    1 0 0 1 | 1
    1 0 1 0 | 1
    1 0 1 1 | 1
    1 1 0 0 | 1
    1 1 0 1 | 1
    1 1 1 0 | 1
    1 1 1 1 | 1


    If i'm just checking for A, i will mark EVERYTHING that has a 1 in the A column as a 1, right?
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  2. #2
    Junior Member
    Joined
    Mar 2009
    Posts
    30
    The setup looks correct. Since there are 4 variable sthere will be 4^4 rows which you have is correct. Now we will nee dto fill in all of the possible combinations within the columns. My column a has 8 true cells followed by 8 false cells. My column b has 4 true cells followed by 4 false cells, and this keeps on rottaing until all cells are filled. My column C has two true cells followed by 2 false cells and this keeps on rottaing until all cells are filled. Last, column D has a true cell followed by a false cell and this keeps on rotating. It looks correct.
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