Digital Electronics - Boolean Algebra and Logic Simplification - Discussion

1. 

Convert the following SOP expression to an equivalent POS expression.

[A].
[B].
[C].
[D].

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 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.
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.

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