Draw logic diagrams for the Boolean expressions given below.
(i)`A . barB+barA . B=Y` , (ii)`(A+barB). (barA+B)=Y`

Explanation

(i) The required logic diagram for the given Boolean expression is given in figure. Here the input B before applying to first AND gate and input A before applying to second AND gate have been inverted. The output these gates are, therefore, `AbarB` and `barAB` respectively. These outputs are fed to OR gate which gives `Y = AbarB+ barAB` as shown in figure.

(ii) The required logic diagram for the given Boolean expression is shown in figure. The input B to first OR gate and input A to second OR gate have been inverted, The output of these gates are, therefore, `A+barB` and `barA+B` as shown. These inputs when applied to AND gate give the required output.
`Y=(A+barB).(barA + B)`