Weird logic-design exam questions

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SUMMARY

The forum discussion revolves around the confusion surrounding Boolean logic exam questions related to minterms and maxterms using variables A, B, and C. The correct answers for the problems were identified as AB for the OR between minterm 6 and minterm 7, and 0 for the AND between minterm 6 and minterm 7. The participant utilized Karnaugh maps (K maps) to derive the standard sum of products (SOP) and product of sums (POS) for the given expressions. Despite the challenges faced, the participant confirmed the accuracy of their results using software tools.

PREREQUISITES
  • Understanding of Boolean algebra and logic gates
  • Familiarity with Karnaugh maps (K maps)
  • Knowledge of minterms and maxterms in Boolean expressions
  • Experience with software tools for verifying Boolean expressions
NEXT STEPS
  • Study the application of Karnaugh maps for simplifying Boolean expressions
  • Learn about the differences between sum of products (SOP) and product of sums (POS)
  • Explore Boolean algebra software tools for automated verification
  • Review common pitfalls in interpreting Boolean logic exam questions
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Students studying digital logic design, educators preparing exam materials, and anyone looking to improve their understanding of Boolean algebra and its applications in computer science.

FocusedWolf
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Homework Statement



Here are three problems from an exam and I'm not sure i understand the wording... almost like we're supposed to get these wrong.

4. The Boolean expression of the OR between minterm 6 and minterm 7 using variables ABC (A being the MSB and C being the LSB) is
{(A)} AB
(B) AC
(C) BC
(D) A+B
(E) A+C

6. The Boolean expression of the AND between minterm 6 and minterm 7 using variables ABC (A being the MSB and C being the LSB) is
{(A)} 0
(B) 1
(C) A
(D) A'
(E) B

15. The Boolean expression of the OR between maxterm 6 and maxterm 7 using variables ABC (A being the MSB and C being the LSB) is
(A) 0
{(B)} 1
(C) A
(D) A'
(E) B

Correct answers are marked.

The Attempt at a Solution



I did a k map and got AB as the sop for minterm 6 and minterm 7, and (A' + B') for the pos between maxterm 6 and 7, and AB looks like the answer for 4.

My problem is i have no idea what the questions are asking for,...well that and the TA didn't respond to my email :-p
 
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Well i checked with some software and my results for pos and sop are correct...

Owell, got my energy drinks so I'm going to go study lol
 
Ok i think i found a pattern that works atleast with these problems... correct me if I'm wrong :smile:


For the Boolean expression of the OR between minterm 6 and minterm 7
They asked for the OR at minterms, do standard sop with k map = answer = AB

For the Boolean expression of the AND between maxterms 6 and maxterm 7
They asked for the AND at minterms, do standard pos with k map = answer = A'+B'

For the Boolean expression of the AND between minterm 6 and minterm 7
They asked for the AND at minterms, ...so convert the problem to equilivant maxterm form... which is 0's everywhere except at 6 and 7. I got a pos of (A+B)...and you see the "+"... that means, no their is not AND between them... so 0

For the Boolean expression of the OR between maxterm 6 and maxterm 7
They asked for the OR between maxterms...convert the problem to equilivant minterm form... which is 1's everywhere except 6 and 7. i got a sop of A'+B'...and you see the "+"...that means yes their is a OR between them, so 1

So yea that's the best guess i can ever do and it should work atleast some of the time :P

p.s. i had my exam and those questions weren't in the second exam... my teacher gave me a trashy homework grade though...like 2/21 despite the DAYS! i spent to make sure the homework was very correct, maybe he just checks the last one lol where i was a little iffy :P... DON"T CARE... i'll pass the exams and say good bye (nah i'd say something i probably can't say in these forums) to the evil teacher :P
 

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