Write the Boolean expression represented by the logic diagra

Write the Boolean expression represented by the logic diagram. Give the truth table that corresponds to the following circuit.

Solution

The First Logic gate is and which receives x and y as input and makes an x.y

there is a NOT gate which provides a complimentary output ie z is input and z\' is output

The next And gate has z\' and y as a input and produces y.z\'

Now a final input is made to the last gate which tends to compliment where this will be the final expression :

(x.y+y.z\')\'

x.y

+
y.z\'