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Old Jun 2nd, 2006, 6:02 PM   #1
Sane
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Exclamation Truth Table --> Logical Expressions
I'd like to convert the following truth table in to a logical expression:

(Toggle Plain Text) 
INPUT                   OUTPUT
[0, 0, 0, 0, 0, 0, 0] [1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0]
[0, 0, 0, 0, 0, 0, 1] [1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0]
[0, 0, 0, 0, 0, 1, 0] [1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1]
[0, 0, 0, 0, 0, 1, 1] [1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1]
[0, 0, 0, 0, 1, 0, 0] [1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1]
[0, 0, 0, 0, 1, 0, 1] [1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1]
[0, 0, 0, 0, 1, 1, 0] [1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1]
[0, 0, 0, 0, 1, 1, 1] [1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0]
[0, 0, 0, 1, 0, 0, 0] [1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1]
[0, 0, 0, 1, 0, 0, 1] [1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1]
[0, 0, 0, 1, 0, 1, 0] [0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0]
[0, 0, 0, 1, 0, 1, 1] [0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0]
[0, 0, 0, 1, 1, 0, 0] [0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1]
[0, 0, 0, 1, 1, 0, 1] [0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1]
[0, 0, 0, 1, 1, 1, 0] [0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1]
[0, 0, 0, 1, 1, 1, 1] [0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1]
[0, 0, 1, 0, 0, 0, 0] [0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1]
[0, 0, 1, 0, 0, 0, 1] [0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0]
[0, 0, 1, 0, 0, 1, 0] [0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1]
[0, 0, 1, 0, 0, 1, 1] [0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1]
[0, 0, 1, 0, 1, 0, 0] [1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0]
[0, 0, 1, 0, 1, 0, 1] [1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0]
[0, 0, 1, 0, 1, 1, 0] [1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1]
[0, 0, 1, 0, 1, 1, 1] [1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1]
[0, 0, 1, 1, 0, 0, 0] [1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1]
[0, 0, 1, 1, 0, 0, 1] [1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1]
[0, 0, 1, 1, 0, 1, 0] [1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1]
[0, 0, 1, 1, 0, 1, 1] [1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0]
[0, 0, 1, 1, 1, 0, 0] [1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1]
[0, 0, 1, 1, 1, 0, 1] [1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1]
[0, 0, 1, 1, 1, 1, 0] [1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0]
[0, 0, 1, 1, 1, 1, 1] [1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0]
[0, 1, 0, 0, 0, 0, 0] [1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1]
[0, 1, 0, 0, 0, 0, 1] [1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1]
[0, 1, 0, 0, 0, 1, 0] [1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1]
[0, 1, 0, 0, 0, 1, 1] [1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1]
[0, 1, 0, 0, 1, 0, 0] [1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1]
[0, 1, 0, 0, 1, 0, 1] [1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0]
[0, 1, 0, 0, 1, 1, 0] [1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1]
[0, 1, 0, 0, 1, 1, 1] [1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1]
[0, 1, 0, 1, 0, 0, 0] [0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0]
[0, 1, 0, 1, 0, 0, 1] [0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0]
[0, 1, 0, 1, 0, 1, 0] [0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1]
[0, 1, 0, 1, 0, 1, 1] [0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1]
[0, 1, 0, 1, 1, 0, 0] [0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1]
[0, 1, 0, 1, 1, 0, 1] [0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1]
[0, 1, 0, 1, 1, 1, 0] [0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1]
[0, 1, 0, 1, 1, 1, 1] [0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0]
[0, 1, 1, 0, 0, 0, 0] [0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1]
[0, 1, 1, 0, 0, 0, 1] [0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1]
[0, 1, 1, 0, 0, 1, 0] [1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0]
[0, 1, 1, 0, 0, 1, 1] [1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0]
[0, 1, 1, 0, 1, 0, 0] [1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1]
[0, 1, 1, 0, 1, 0, 1] [1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1]
[0, 1, 1, 0, 1, 1, 0] [1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1]
[0, 1, 1, 0, 1, 1, 1] [1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1]
[0, 1, 1, 1, 0, 0, 0] [1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1]
[0, 1, 1, 1, 0, 0, 1] [1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0]
[0, 1, 1, 1, 0, 1, 0] [1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1]
[0, 1, 1, 1, 0, 1, 1] [1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1]
[0, 1, 1, 1, 1, 0, 0] [1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0]
[0, 1, 1, 1, 1, 0, 1] [1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0]
[0, 1, 1, 1, 1, 1, 0] [1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1]
[0, 1, 1, 1, 1, 1, 1] [1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1]
[1, 0, 0, 0, 0, 0, 0] [1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1]
[1, 0, 0, 0, 0, 0, 1] [1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1]
[1, 0, 0, 0, 0, 1, 0] [1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1]
[1, 0, 0, 0, 0, 1, 1] [1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]
[1, 0, 0, 0, 1, 0, 0] [1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
[1, 0, 0, 0, 1, 0, 1] [1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1]
[1, 0, 0, 0, 1, 1, 0] [1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0]
[1, 0, 0, 0, 1, 1, 1] [1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0]
[1, 0, 0, 1, 0, 0, 0] [1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1]
[1, 0, 0, 1, 0, 0, 1] [1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1]
[1, 0, 0, 1, 0, 1, 0] [1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1]
[1, 0, 0, 1, 0, 1, 1] [1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1]
[1, 0, 0, 1, 1, 0, 0] [1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1]
[1, 0, 0, 1, 1, 0, 1] [1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0]
[1, 0, 0, 1, 1, 1, 0] [1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1]
[1, 0, 0, 1, 1, 1, 1] [1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1]
[1, 0, 1, 0, 0, 0, 0] [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0]
[1, 0, 1, 0, 0, 0, 1] [1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0]
[1, 0, 1, 0, 0, 1, 0] [1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1]
[1, 0, 1, 0, 0, 1, 1] [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1]
[1, 0, 1, 0, 1, 0, 0] [1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1]
[1, 0, 1, 0, 1, 0, 1] [1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1]
[1, 0, 1, 0, 1, 1, 0] [1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1]
[1, 0, 1, 0, 1, 1, 1] [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0]
[1, 0, 1, 1, 0, 0, 0] [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
[1, 0, 1, 1, 0, 0, 1] [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1]
[1, 0, 1, 1, 0, 1, 0] [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0]
[1, 0, 1, 1, 0, 1, 1] [1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0]
[1, 0, 1, 1, 1, 0, 0] [1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1]
[1, 0, 1, 1, 1, 0, 1] [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1]
[1, 0, 1, 1, 1, 1, 0] [1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1]
[1, 0, 1, 1, 1, 1, 1] [1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1]
[1, 1, 0, 0, 0, 0, 0] [1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1]
[1, 1, 0, 0, 0, 0, 1] [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0]
[1, 1, 0, 0, 0, 1, 0] [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1]
[1, 1, 0, 0, 0, 1, 1] [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1]