Electronics and Communication Engineering - Digital Electronics - Discussion

3. 

The Boolean expression (A + B) (A + C) (B + C) simplifies to

[A]. (A + B) C
[B]. (A + B) C
[C]. (A + B) C
[D]. none of these

Answer: Option C

Explanation:

No answer description available for this question.

Mani said: (Aug 30, 2014)  
= (a'c'+ba+bc').(b'+c').
= a'c'b'+a'c'+abc'+bc'.
= a'c'+bc'.
= c'(a'+b).

Nitin Singhal said: (Feb 11, 2016)  
By Using the property (X + YZ) = (X + Y) (X + Z).

So given expression reduces to (A' + B) (AB' + C').

Now multiply every term A'AB' + BAB' + (A' + B) C'.

Now the first two term reduces to zero. Therefore last expression will be the answer.

Rajesh said: (Sep 6, 2016)  
Thank you @Nitin.

Priyanka said: (May 24, 2017)  
(a'a+ab+c'a'+c'b)(b'+c').
= (1+ab+c'a+c'b)(b'+c').
= b' + c'.

So, the Ans should be (d).

Ram said: (Jul 13, 2018)  
I didn't understand this. Please make me clear by explaining the solution.

Vijaya said: (Dec 7, 2018)  
Thank you @Nitin.

Chaitanya said: (Jul 20, 2019)  
Thank you @Nitin.

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