Question
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
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.
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. 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.C.) Y = ABCD +ABCD +(A +B +C +D)
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 4.A.) (5 POINTS) Write the Boolean equation for each output, i.e. Y and Z in this circuit. 4.B.) (15 POINTS) Simplify the Boolean equations for Y and Z in 4A using a Karnaugh map. Please show your work. Then, draw the simplified circuit again. Please use a circuit sketching tool | |
Please use the following truth table for Questions 1 and 2 A B C D|Y 0 1 00 0 0 1 01 0 1 0 001 1 1 1 0 0
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