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Find the complement of the function F, F = xy + xy'z + x'yz.

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Final answer:

To find the complement of the function F = xy + xy'z + x'yz, apply De Morgan's Law to each individual variable and change the operations accordingly to get F' = (x'+y')(x'+y+z')(x+y'z').

Step-by-step explanation:

The student has asked to find the complement of the function F, where F = xy + xy'z + x'yz. To find the complement of F, denoted as F', we use the fact that the complement of a sum of products form can be computed by applying De Morgan's Law. This means that we take the complement of each individual variable, change OR operations (+) to AND operations (·), and vice versa. Therefore, the complement of F = F' = (x'+y')(x'+y+z')(x+y'z').

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