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$x$,$y$ and $z$ represent three switches in an 'ON' position and $x',y'$ and $z'$ represent the same three switches in an 'OFF' position.Construct a switching circuit representing the polynomial $(x+y)(x'+z)+y(y'+z').$Using the laws of Boolean Algebra,show that the above polynomial is equivalent to $xz+y$ and construct an equivalent switching circuit.

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