Which of the following relationships represents the dual of the Boolean property $x + x^{'} y = x + y$ ?

x^{'} (x + y^{'}) = x^{'} y^{'}

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x (x^{'} y) = x y

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x * x^{'} + y = x y

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x^{'} (x y^{'}) = x^{'} y^{'}

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x (x^{'} + y) = x y

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Solution

The correct option is E $x (x^{'} + y) = x y$
Dual of Boolean property means we have to interchange addition and multiplication terms in the given equation
The given equation is $x + x^{,} y = x + y$
By dual of the Boolean property , we get $x (x^{,} + y) = x y$
Therefore correct option is $E$

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