Construct the logic circuit of the Boolean expression  where  are the inputs in that circuitry.

To solve the given Boolean expression numerically and construct the corresponding logic circuit, we can follow these steps:

1. Represent the given Boolean expression: \( (x'_1 \vee x'_2 \wedge x_3) \vee (x_2 \wedge x'_3) \)
2. Construct the truth table for the expression using all possible combinations of input values for \( x_1, x_2, x_3 \).
3. Evaluate the expression for each combination of inputs.
4. Use the evaluated truth values to design the logic gates and construct the logic circuit.

Let's start with the truth table:

\[
\begin{array}{|c|c|c|c|}
\hline
x_1 & x_2 & x_3 & \text{Expression} \\
\hline
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