Lab 04 - SOP/POS and KMaps

In this lab, you’ve learned how to apply KMaps, Sum Of Products and Products of sums to simplify digital logic equations. Then, you’ve proven out that they work using an implemented design on your Basys3 boards.

Rubric

Item	Description	Value
Summary Answers	Your writings about what you learned in this lab.	25%
Question 1	Your answers to the question	25%
Question 2	Your answers to the question	25%
Question 3	Your answers to the question	25%

Lab Summary

Summarize your learnings from the lab here.

Team 50

• Fallingfirex: Sydney Hurst
• collingreen-del: Collin Green

We learned how to practically apply Sum of Products and Product of sums in a physical/code sense.

Lab Questions

Why are the groups of 1’s (or 0’s) that we select in the KMap able to go across edges?

The grid is actually a Toroid, which means its more doughnut shaped rather than a flat rectangle.

Why are the names Sum of Products and Products of Sums?

Sum of Products ORs together ANDed terms; while Product of Sums ANDs together ORed terms.

Open the test.v file – how are we able to check that the signals match using XOR?

Because XOR can detect differences (i.e if the output is 1, there is a mismatch). then by it testing if the LEDs compared to one another are 0 or not, it can tell if the signals match. Because an output of 1 would indicate they do not match.