Discussion :: Boolean Algebra and Logic Simplification - General Questions (Q.No.1)
Convert the following SOP expression to an equivalent POS expression.
Answer: Option B
No answer description available for this question.
|Aditya Warnulkar said: (Jan 13, 2011)|
|Minterms are = 7, 4, 5, 6, 1.
Hence corresponding maxterms will be 0, 2, 3.
Therefore option B.
|Rajasekhar said: (May 18, 2011)|
|How to find maxterms?|
|Ganesh Rathod said: (Jul 22, 2011)|
|SOP is complement of POS and vice-versa. So option B is the correct answer.|
|Maha said: (Sep 7, 2011)|
|Draw a three variable k-map and plot the given SOP forms. The remaining boxes which are not filled will give the answer for POS form. But you have to inverse each variable for example A means Abar.|
|Jahoor Alam said: (Sep 25, 2011)|
|Please draw the three variable k map & give explanation.|
|Mounika said: (Nov 3, 2011)|
|If sop is complement of pos then please explain that.|
|Venkatesh said: (Nov 3, 2011)|
|Max terms:0 2 3
a b c->000:0,
a bbar c->010:2,
a bbar cbar->011:3.
|Vinod said: (Nov 23, 2011)|
|SHORT CUT :NO.OF COMBINATION POSSIBLE WITH 3 VARIABLE IS(01234567)
min terms of the abv eq is: 7,4,5,6,1
IN POS IS TAKING MAX TERMS :REMAINING NUMBERS IS =0,2,3
MIN TERM IS :1 IF U GET 0 IS COMPLIMENT USING METHOD IS :SOP
MAX TERM IS :0 IF U GET 1 IS COMPLEMENT USING METHOD IS :POS
|Dheeraj said: (Jan 3, 2012)|
|Ya Vinod is correct.|
|Shipra said: (Jan 23, 2012)|
|Nice answer vinod.|
|Jimmy said: (Mar 7, 2012)|
|This answer is not correct. If maxterms are
0 =not A + not B + not C
2=not A + B + not C
3=A + not B + not C
Maybe it cud be A is not correct.So no answer.
|Bryx said: (Jul 6, 2012)|
|F(A,B,C) = m7+m4+m5+m6+m1
= A'B'C' + AB'C' + AB'C + ABC' + A'B'C
F'(A,B,C)= m0 + m2 + m3
If we complement F', we get F;
F = (m0 + m2 + m3)'
By DeMorgan's Theorem;
F = (A'B'C')'(A'BC')'(A'BC)'
F = (A''+B''+C'')(A''+B'+C'')(A''+B'+C')
F = (A+B+C)(A+B'+C)(A+B'+C')
So answer is letter B.
|Sneha said: (Aug 6, 2013)|
|By using k-map simplification technique we can find answer.|
|Vinay said: (Aug 29, 2013)|
|You are right @Sneha. K-map is best technique.|
|Saba said: (Mar 24, 2015)|
|Through the min terms is also effective.|
|Priyanka said: (Aug 1, 2015)|
|From the given sop we can find min terms they are:
Min terms = 1, 4, 5, 6, 7.
From the above, we can know that the sop & pos are compliments.
So Max terms = 0, 2, 3.
Then according to pos.
The answer is B.
There is no need of drawing k-map here because its take some extra time for that compared to this procedure.
|Anuj said: (Aug 29, 2015)|
|In the addition expression of our original equation (Given one) there is no term of A bar / Not A.
So, check in the options by only A bar / Not A analysis means no tern can have A bar / Not A in it. This is only possible in option B.
|Shivam said: (Nov 1, 2015)|
|As @Priyanka said we are taking max term and according to that the answer is B but when I check I found A is answer according to the explanation.|
|Amol Kool said: (Nov 16, 2015)|
|Sop is not compliment of POS or vice versa both are similar.|
|Sai Kishore said: (Nov 26, 2015)|
|Solving using k maps in somewhat hard.|
|Brian said: (Dec 1, 2015)|
|I don't get how you did these?|
|Prabu said: (Jan 18, 2016)|
|Can any one explain it clearly?|
|Gowthami Asirayya said: (Apr 28, 2016)|
|The sum of products into the product of sum that means we have to replace in the place of * with +.|
|Anuoluwapo Ishaq said: (Jun 20, 2016)|
|I think the answer should be A + A'B'C.|
|Sukriti said: (Jul 13, 2016)|
|In the question, it is said the SOP form. Using K-map we find the position of respective boolean expression.
That is 1, 4, 5, 6, 7 (these are the SOP forms i.e. 1). In SOP we substitute the 1 to A and 0 to bar A (eg. 101 = A (bar B) C.
It is asked to find the POS form from this sop expression. From k-map, the rest positions which are '0' are the POS I. E 0, 2, 3. In POS we substitute the 1 to bar A and 0 to A (eg. 101 (bar A) B (bar C).
As it is asked POS so we have to write in POS form. So 0, 2, 3 in POS form will be like the option B.
****It would be better if it has some option to attach a photo so that a photo of K-map can be attached.
|Dhuha said: (Jul 25, 2016)|
|How to convert SOP to POS?|
|Cal said: (Aug 4, 2016)|
|Yeah, Aditya Warnulkar is correct.
That's a short cut to getting your SOP from a POS expression instead of going by the truth table.
|Emmanuel Afriyie Owusu said: (Mar 10, 2017)|
|When you find the maxterms corresponding to the question you will obtain ( 0,1,2,3,6) and when you do same for the possible answers.
The answer is B because it's the only one that satisfies the SOP values of the question.
|Meghna said: (Apr 2, 2017)|
|According to POS and SOP, the Correct answer is C.|
|Priya said: (Sep 15, 2017)|
|How to find maxterms?|
|Imam said: (Nov 25, 2017)|
|(Sop=pos) is this correct?|
|Suneetha said: (Oct 5, 2018)|
|Thanks for your answer @Vinod.|
|Pacheko said: (Dec 10, 2018)|
|The correct answer is A + A'B'C.|
|Kiran Sharma said: (Oct 22, 2019)|
|Av Reddy said: (Feb 11, 2020)|
|How can I get an answer, I didn't understand.|
|Joseph said: (Mar 3, 2021)|
|How did you get an answer?I didn't understand. Anyone make it clear.|
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