Tricky question

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mireles1

Joined Jul 26, 2005
2
Unfortunately not understanding how to best approach and solve the following question:

Using the table below derive trhe Boolean expression for the S(sum) output of the full adder in sum of products form. Then by algebraic manipulation show that S(sum) can be expressed as the exclusive-OR of the 3 input variables:
S=X (XOR) Y (XOR) Z

Table:
Inputs Outputs
x y z C S
0 0 0 0 0
0 0 1 0 1
0 1 0 0 1
0 1 1 1 0
1 0 0 0 1
1 0 1 1 0
1 1 0 1 0
1 1 1 1 1

Please help!!!
 
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