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Question One
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The Output of the Given Gates
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The output of the above circuit is ((x + y).(x.y)) = ((x + y)(xy))

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Question Two
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The Sum-of-Products
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Given the truth table in question two for F(x,y,z) the sum-of-products (SOP) is as follows;

The sum of SOP = xyz + xyz + x y z

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Question Three
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a
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Given P = (xy) + x y as output equation, the following circuit is constructed to produce it.

x

y P

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b
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Given Q = xy + ( x y ) as output equation, the following circuit is constructed to produce it.

x

y Q

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