(b) Design a combinational circuit with three inputs, X, Y, and Z, and one output, F. When the decimal equivalent of binary input is EVEN number, the binary output is 1 else 0. Perform the following steps: i) Provide the truth table. (1 mark) ii) From the truth table, obtain the Boolean expressions F in Product of Sums (POS) form. (1 mark) iii) Simplify the Boolean expression of F into POS form by applying Karnaugh-map. (1 mark)