Lesson_3_Lab_Combinational_Logic

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Chandler-Gilbert Community College *

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120

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Electrical Engineering

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Feb 20, 2024

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This work by Cody Anderson is licensed under the Creative Commons Attribution-NonCommercial 4.0 International License. To view a copy of this license, visit this link CSC/EEE120 – Lab 3 Topics: Working with truth tables, minterm, maxterm, SOP and implementing the logic in circuits. Submission: Report uploaded to RioLearn; Please use copy/paste screenshots from LogicWorks for the sections requiring a diagram of a logic circuit. 1. Given the following truth table Inputs Output Inputs Output A B C Y A B C Y 0 0 0 0 1 0 0 0 0 0 1 0 1 0 1 0 0 1 0 0 1 1 0 1 0 1 1 1 1 1 1 0 a. Write a minterm Boolean expression for the truth table (3 points) Y = A BC + ABC b. Diagram a logic circuit (using LogicWorks) that will perform the logic in the truth table (4 points) 0 1 A 0 1 B 0 1 C 1 2. Given the following truth table Inputs Output Inputs Output
A B C Y A B C Y 0 0 0 1 1 0 0 0 0 0 1 0 1 0 1 1 0 1 0 0 1 1 0 0 0 1 1 1 1 1 1 0 a. Write a sum-of-products Boolean expression for the truth table (3 points) Y = A BC + AB C b. Diagram a logic circuit (using LogicWorks) that will perform the logic in the truth table (4 points) 0 1 A 0 1 B 0 1 C 1 2
3. Given the following truth table Inputs Output Inputs Output A B C Y A B C Y 0 0 0 1 1 0 0 1 0 0 1 0 1 0 1 1 0 1 0 1 1 1 0 0 0 1 1 1 1 1 1 1 a. Write a maxterm Boolean expression for the truth table (3 points) Y = A B C + A BC + A BC + AB C + AB C + ABC b. Diagram a logic circuit that (using LogicWorks) will perform the logic in the truth table (4 points) 0 1 C 0 1 B 0 1 A 0 4. Given the following truth table Inputs Output Inputs Output A B C Y A B C Y 0 0 0 0 1 0 0 1 0 0 1 1 1 0 1 0 3
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0 1 0 1 1 1 0 1 0 1 1 0 1 1 1 1 a. Write a product-of-sums Boolean expression for the truth table (3points) A'B'C+A'BC'+AB'C'+ABC'+ABC b. Diagram a logic circuit that (using LogicWorks) will perform the logic in the truth table (4 points) 0 1 A 0 1 B 0 1 C 1 5. Write a truth table for a 3-input XOR gate. Remember that an odd number of 1s generate a 1 output (4 points) A B C OUTPUT 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 1 0 0 1 1 0 1 0 1 1 0 0 1 1 1 1 6. Given an OR gate and inverters, draw a logic diagram (circuit, using LogicWorks) that will perform the 2-input NAND function (4 points) 4
A'BC + AB'C 0 1 0 1 0 7. Given an OR gate and inverters, draw a logic diagram (circuit, using LogicWorks) that will perform the 2-input AND function (4 points) 0 1 0 1 1 Report requirements Insert the answers to the questions above in this document and submit as a PDF to RioLearn, or create a separate document with your answers for submission to RioLearn. 5