Question 3 (30 POINTS). Please perform the required operations for each Boolean equation given in questions 3A through 3C. For each question, please use a circuit sketching tool to draw your circuit diagram. Following is a list of some freely available circuit sketching tools. You may also use another tool of your choice. NO MANUAL DRAWINGS PLEASE. http://www.digikey.com/schemeit https://www.circuitlab.com/ http://www.circuit diagram.org/ 3.A) Y= ABC + ABC i.) (3 POINTS) Simplify the Boolean equation using Boolean theorems by specifying which theorem(s) you have used. Please show your work ii.) (3 POINTS) Check the simplification for correctness using a Karnaugh map. Please show your work iii.) (4 POINTS) Sketch a simple combinational circuit diagram for the simplified equation, i.e. after you simplify. 3.B.) Y = ABC +AB i.) (3 POINTS) Simplify the Boolean equation using Boolean theorems by specifying which theorem(s) you have used. Please show your work. (3 POINTS) Check the simplification for correctness using a Karnaugh map. Please show your work. (4 POINTS) Sketch a simple combinational circuit diagram for the simplified equation, i.e. after you simplify li.) 3.C.) Y = ABCD +ABCD +(A +B+C +D) (3 POINTS) Simplify the Boolean equation using Boolean theorems by specifying which theorem(s) you have used. Please show your work. 11.) (3 POINTS) Check the simplification for correctness using a Karnaugh map. Please show your work 111. (4 POINTS) Sketch a simple combinational circuit diagram for the simplified equation, i.e. after you simplify