Product of Sums Minimization KMap (Problem #2)

Click For Summary

Discussion Overview

The discussion revolves around the minimization of a Product of Sums (POS) equation derived from a Karnaugh Map (KMap). Participants are checking the correctness of groupings and interpretations of the KMap, as well as discussing the context of the problem related to a practice exam.

Discussion Character

  • Technical explanation
  • Homework-related
  • Meta-discussion

Main Points Raised

  • One participant presents their minimal POS equation and questions the correctness of their grouping, specifically whether to include certain terms in their grouping.
  • Another participant suggests that the KMap image should be rotated for correct orientation, implying that this could affect the interpretation of the groupings.
  • There is a clarification that the problem is from a practice exam and not a graded assignment, with encouragement from the instructor to seek help.
  • Participants express appreciation for the table feature available in the forum, which may aid in discussing the KMap.

Areas of Agreement / Disagreement

Participants generally agree on the context of the problem being a practice exam and the encouragement to seek help. However, there is uncertainty regarding the correctness of the groupings in the KMap, with differing opinions on how to interpret the image.

Contextual Notes

There are limitations regarding the clarity of the KMap image and its orientation, which may affect the understanding of the problem. Additionally, the discussion does not resolve the correctness of the proposed POS equation or the grouping strategy.

Who May Find This Useful

Students preparing for exams in digital logic design or related fields, particularly those studying Karnaugh Maps and minimization techniques.

shamieh
Messages
538
Reaction score
0
Write out the minimal Product of Sums (POS) equation with the following Karnaugh Map. Just need someone to check my work please. I am questioning my self on my grouping. Did I group correctly or should I have grouped the bottom left 0 and D versus the 0 in the group of 8? Thanks for your time.

My Answer: $$(\bar{z})(\bar{y} + w + \bar{x})$$
View attachment 1417
 

Attachments

  • photo(1).JPG
    photo(1).JPG
    32.8 KB · Views: 97
Technology news on Phys.org
Just to let you know, at least for me, the image should be rotated 90 degrees clockwise to be oriented correctly. :D

In fact, it might be easier to just use the table functions on our toolbar:

[TABLE="class: grid, width: 250"]
[TR]
[TD]YZ
[/TD]
[TD]00
[/TD]
[TD]01
[/TD]
[TD]11
[/TD]
[TD]10
[/TD]
[/TR]
[TR]
[TD]00
[/TD]
[TD]1
[/TD]
[TD]1
[/TD]
[TD]1
[/TD]
[TD]1
[/TD]
[/TR]
[TR]
[TD]01
[/TD]
[TD]0
[/TD]
[TD]0
[/TD]
[TD]0
[/TD]
[TD]0
[/TD]
[/TR]
[TR]
[TD]11
[/TD]
[TD]0
[/TD]
[TD]d
[/TD]
[TD]d
[/TD]
[TD]0
[/TD]
[/TR]
[TR]
[TD]10
[/TD]
[TD]d
[/TD]
[TD]0
[/TD]
[TD]1
[/TD]
[TD]1
[/TD]
[/TR]
[/TABLE]

I see that 5 points are associated with this problem in the image...is this part of a graded assignment? If so, has your instructor given you permission to seek outside help with it?
 
MarkFL said:
Just to let you know, at least for me, the image should be rotated 90 degrees clockwise to be oriented correctly. :D

LOL hahahaha:D:D

No it's not a graded assignment. It's a "practice exam" just to give us something to look at before the real Exam which isn't until Wednesday. Thus the "5pts etc" next to the questions, it was one of his real exams from last year. Oh of course, he encourages us to seek help. He literally told us in class the other day to look for help on Google lol.
 
shamieh said:
LOL hahahaha:D:D

No it's not a graded assignment. It's a "practice exam" just to give us something to look at before the real Exam which isn't until Wednesday. Thus the "5pts etc" next to the questions, it was one of his real exams from last year. Oh of course, he encourages us to seek help. He literally told us in class the other day to look for help on Google lol.

Okay, thank you for letting me know...we value academic honesty very highly here, and so it is my duty to ask. :D
 
Good to know about the table feature. Lol(Clapping)
 

Similar threads

Replies
6
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 6 ·
Replies
6
Views
4K
  • · Replies 6 ·
Replies
6
Views
3K