Implement the Boolean function F = xy' + a'y+y/2 (a) With AND, OR, and inverter gates. (b) With OR and inverter gates. (c) With AND and inverter gates. (d) With NAND and inverter gates. (e) With NOR with inverter gates. For each case, show how you obtain your circuit, i.e. your Boolean expression from the Boolean function F listed above using the postulates and the theorems of Boolean Algebra introduced in Chapter 2, as needed. List the truth table for each case, and compare it to that of F. Include screenshots of your implementation in your lab report.