Truth Table to Boolean Expression

CASE 1:

A B C Output Expression
0 0 0 1 (~A && ~B && ~C)
0 0 1 1 (~A && ~B && C)
0 1 0 1 (~A && B && ~C)
0 1 1 1 (~A && B && C)
1 0 0 1 (A && ~B && ~C)
1 0 1 1 (A && ~B && C)
1 1 0 1 (A && B && ~C)
1 1 1 1 (A && B && C)

FINAL EQUATION IS:

(~A && ~B && ~C) || (~A && ~B && C) || (~A && B && ~C) || (~A && B && C) || (A && ~B && ~C) || (A && ~B && C) || (A && B && ~C) || (A && B && C)


CASE 2:

A B C Output Expression
0 0 0 0  
0 0 1 1 (~A && ~B && C)
0 1 0 0  
0 1 1 0  
1 0 0 1 (A && ~B && ~C)
1 0 1 0  
1 1 0 0  
1 1 1 1 (A && B && C)

FINAL EQUATION IS:

(~A && ~B && C) || (A && ~B && ~C) || (A && B && C)


QUESTION:

Why don't we include the expressions for the row in which the output is 0?

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Last updated 2002/02/17
© L.Heath, 2000, updated by J.A.N. Lee.