[4 marks] Determine the maxterm of the given expression. Next, by using a Karnaugh map, derive the optimal SOP form of F = (a' + b + c+ d) (a+ b' + c')(a+ c+d') Maxterm (proper notation please): Karnaugh map (Draw the loops) Optimal SOP: Did you write the solutions to all parts on paper (with the steps that show the work)?[3 marks] Simplify the circuit output. Show all steps. X XNOR1 0- OR1 Y NAND1 Z Out XOR1 NOTDO Did you write the solutions to all parts on paper (with the steps that show the work)?[4 marks] Solve by using Gaussian elimination (augmented matrix) method. No other methods will be accepted. Show all the work, including replacement rules (ex: R, = 5R, - 2R2) similar to the class work: Give exact answers (fractions, not decimals) 5 1 -1 0 2 1 -2 10 9