Using the following truth table answer these questions: a) Write the boolean expression for a as a function of the inputs x, y, z using "Sum of Products". Do not simplify. b) Write the boolean expression for a as a function of the inputs x, y, z using "Product of Sums". Do not Simplify. c) Using the sum of products you obtained in a) simplify the expression using only boolean algebra (no Karnaugh maps) d) Write the Karnaugh map for b and simplify. Obtain the Minimum expression. e) Draw the schematic that implements this expression using AND OR NOT/ gates f Draw the schematic that implements this expression using only NAND gates