Discussion :: Boolean Algebra and Logic Simplification  General Questions (Q.No.1)
1.  Convert the following SOP expression to an equivalent POS expression. 

Answer: Option B Explanation: 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 viceversa. So option B is the correct answer. 
Maha said: (Sep 7, 2011)  
Draw a three variable kmap 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 kmap simplification technique we can find answer. 
Vinay said: (Aug 29, 2013)  
You are right @Sneha. Kmap 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 kmap 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 Kmap 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 kmap, 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 Kmap 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. A. (7,5,4) B. (0,2,3) C. (0,2,2) D. (0,5,2) 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)  
(A+B+C').(A+B'+C').(A+B'C) 
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. 
Ninthu said: (Aug 23, 2021)  
How did you get an answer? I didn't understand. Anyone make it clear. 
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