Draw logic diagrams for the Boolean expressions given below :
(i) `A * overline B + overline A * B = Y`
(ii) `(A + overline B)* (overline A + 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 of these gates are, therefore, `A overline B` and `overline A B` respectively. These outputs are fed to `OR` gate which gives `Y = A overline B + overline A B` 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 + overline B` and `overline A + B` as shown. These inputes whebn applied to `AND` gate give the required output.
`Y = (A + overline B).(overline A + B)`.
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