Intro to ECE – Homework (45 points) Problem 1: Transfer the following functions to irreducible forms (9 points) Explanation: a/ (3 points) f= b/(3 points) f= c/(3 points) f= Problem 2: Proving the following equations and sketch the logic gates (9 points) a/(3 points) b/(3 points) c/(3 points) Problem 3: Find out the function and true tables corresponding to following logic gates ( 15points) (3 points) F= (3 points) Qk = (3 points) Q= (3 points) Q= (3 points) Q= Problem 4: Sketch the following function only by NOT, NAND logic cells (6 points) a/ F = A | B | C b/ F = A & B | C a/(3 points) b/(3 points) Problem 5: Sketch the following function only by NOT, NOR logic cells (6 points) a/ F = A & B & C b/ F = A | B & C a/(3 points) b/(3 points)