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Dec 13 2014 11:55am



I need to determine the outputs of A and B as a sum of minterms.

My main questions are, am I assuming XY and Z are just true or false (0,1) and my selectors for both ( s1 and s0) are (1,1).

All that being said I think my answer for both are F(x,y,z) = Σ(6,7) but I am not sure.

This post was edited by SoftSpeaker on Dec 13 2014 11:58am
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Dec 13 2014 05:54pm
Here's the truth table

Code
X Y Z !Z !Z Z
X Y Z S1 S0 0 1 2 3 A
0 0 0 0 0 0 1 1 0 0
0 0 1 0 0 1 0 0 1 1
0 1 0 0 1 0 1 1 0 1
0 1 1 0 1 1 0 0 1 0
1 0 0 1 0 0 1 1 0 1
1 0 1 1 0 1 0 0 1 0
1 1 0 1 1 0 1 1 0 0
1 1 1 1 1 1 0 0 1 1

X Y 0 Z Z 1
X Y Z S1 S0 0 1 2 3 B
0 0 0 0 0 0 0 0 1 0
0 0 1 0 0 0 1 1 1 0
0 1 0 0 1 0 0 0 1 0
0 1 1 0 1 0 1 1 1 1
1 0 0 1 0 0 0 0 1 0
1 0 1 1 0 0 1 1 1 1
1 1 0 1 1 0 0 0 1 1
1 1 1 1 1 0 1 1 1 1
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Dec 13 2014 10:06pm
Quote (Minkomonster @ Dec 13 2014 07:54pm)
Here's the truth table

Code
X Y Z !Z !Z Z
X Y Z S1 S0 0 1 2 3 A
0 0 0 0 0 0 1 1 0 0
0 0 1 0 0 1  0 0 1 1
0 1 0 0 1 0 1 1 0 1
0 1 1 0 1 1 0 0 1 0
1 0 0 1 0 0 1 1 0 1
1 0 1 1 0 1 0 0 1 0
1 1 0 1 1 0 1 1 0 0
1 1 1 1 1 1 0 0 1 1

  X Y 0 Z Z 1
X Y Z S1 S0 0 1 2 3 B
0 0 0 0 0 0 0 0 1 0
0 0 1 0 0 0 1 1 1 0
0 1 0 0 1 0 0 0 1 0
0 1 1 0 1 0 1 1 1 1
1 0 0 1 0 0 0 0 1 0
1 0 1 1 0 0 1 1 1 1
1 1 0 1 1 0 0 0 1 1
1 1 1 1 1 0 1 1 1 1




this does make more sense. I wasn't thinking about the question as a truth table. My answer will be:
A - F(x,y,z) = Σ(1,2,4,7)
B - F(x,y,z) = Σ(3,5,6,7)
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