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Find the minimum sumofproducts expression
f(a, b, c, d) = (maxterm numbers)(1, 2, 3, 4, 9, 15)
When I made a Karnaugh map for the maxterms, I came up with
(B+C+D')(A+B +C')(A+B'+C+D)(A'+B'+C'+D')
a) I think that's incorrect, perhaps due to my groupings of the 0's.
b) If my answer is in fact correct, I can't figure out how to put it into a product of sums form. I just applied DeMorgan laws on it, but I'm not sure that's correct either. Please help?
This is basically a maxterm expansion from a Karnaugh map (which I may or may not have grouped incorrectly) that I need in SOP
 one year ago
 one year ago
Find the minimum sumofproducts expression f(a, b, c, d) = (maxterm numbers)(1, 2, 3, 4, 9, 15) When I made a Karnaugh map for the maxterms, I came up with (B+C+D')(A+B +C')(A+B'+C+D)(A'+B'+C'+D') a) I think that's incorrect, perhaps due to my groupings of the 0's. b) If my answer is in fact correct, I can't figure out how to put it into a product of sums form. I just applied DeMorgan laws on it, but I'm not sure that's correct either. Please help? This is basically a maxterm expansion from a Karnaugh map (which I may or may not have grouped incorrectly) that I need in SOP
 one year ago
 one year ago

This Question is Closed

brahmaecBest ResponseYou've already chosen the best response.1
Maxterm(1,2,3,4,9,15)=Minterm(5,6,7,8,10,11,12,13) so as u solve POS(Maxterm) for logic zero in K map , just solve SOP(Minterm) for logic 1 for the above stated equation to get the result in SOP or get the POS form in minimized form and get its dual relation that would convert the POS to the SOP...
 one year ago

sevenshadedBest ResponseYou've already chosen the best response.0
Okay, so are you saying to map the ones out, and take the minterm off of them? Doing that, I got B'C'D' + ABC' + BC'D + A'BC + ABC' + AB'C. Is that the correct answer to the problem?
 one year ago

sevenshadedBest ResponseYou've already chosen the best response.0
Also, I think you forgot to include 0 and 14 in your list of minterms...?
 one year ago

sevenshadedBest ResponseYou've already chosen the best response.0
Actually, I think I made a mistake. Is it B'C'D' + ABC' + BC'D + A'BC + ACD' + AB'C ?
 one year ago

brahmaecBest ResponseYou've already chosen the best response.1
ya i forgot to put in there there wud be 5 min term B'C'D'+ABC'+A'BD+BCD'+AB'C
 one year ago

brahmaecBest ResponseYou've already chosen the best response.1
also the dual is not going to give us the correct expression we can find out the SOP by the same relation Maxterm(1,2,3,4,9,15)=Minterm(0,5,6,7,8,10,11,12,13,14)
 one year ago

sevenshadedBest ResponseYou've already chosen the best response.0
I don't think I see where A'BD would be. But I think I can see BCD' as a pair of ones. Can there be more than one correct answer?
 one year ago

brahmaecBest ResponseYou've already chosen the best response.1
does ur answer match dw:1349874605579:dw check the grouping..
 one year ago

sevenshadedBest ResponseYou've already chosen the best response.0
Oh, I mapped it so that AB is on the top and CD is on the side. Lemme compare...
 one year ago

sevenshadedBest ResponseYou've already chosen the best response.0
I'm still not sure how you got those pairings. I don't even have ones listed in some of those areas. We're mapping the minterms, right?
 one year ago

brahmaecBest ResponseYou've already chosen the best response.1
yup...the min terms (0,5,6,7,8,10,11,12,13,14)
 one year ago

sevenshadedBest ResponseYou've already chosen the best response.0
dw:1349875400799:dw
 one year ago

sevenshadedBest ResponseYou've already chosen the best response.0
That's the map I came up with. In a case like the bottom right horizontal grouping in the lowest row across, would it matter whether I grouped that one with the one on its left or right? Since it's in the middle of two 1s.
 one year ago

sevenshadedBest ResponseYou've already chosen the best response.0
dw:1349875843305:dw I numbered my rows/columns.
 one year ago

brahmaecBest ResponseYou've already chosen the best response.1
thats why u r getting wrong answer this should be done like this .....dw:1349875916540:dw
 one year ago

sevenshadedBest ResponseYou've already chosen the best response.0
So you want to avoid overlapping groups if you can?
 one year ago

brahmaecBest ResponseYou've already chosen the best response.1
ya if there wud be overlapping the expression obtained is not in its minimized form ....and there wud be more number of minterms in the expressions..
 one year ago

sevenshadedBest ResponseYou've already chosen the best response.0
Okay, so the final answer is B'C'D' + ABC' + A'BD + BCD' + AB'C?
 one year ago

sevenshadedBest ResponseYou've already chosen the best response.0
Ohhh, I see. I had that backward. That overlapping was minimizing the expression.
 one year ago

sevenshadedBest ResponseYou've already chosen the best response.0
Yeah, that makes sense. Thank you very much for your help. I wasn't sure if I was mapping correctly or not. Makes a huge difference, lol. :)
 one year ago
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