Use the following truth table for parts a and b: abc f 000 0 001 1 010 1 011 0 100 0 101 1 110 0 111 1 a. Write the function as a sum of minterms. (5 points - 1 point per term + 1 point for form) b. Write the function as a product of maxterms. (5 points - 1 point per term +1 point for form) c. Use Boolean principles to convert g = a'bc' + ab'c to POS form. Write the principle used in each step. (5 points) d. Use Boolean principles to convert h = (a + b')(b' + c')(a' + c)(a' + b) to SOP form. Write the principle used in each step. (7 points)