Digital Electronics - Boolean Algebra and Logic Simplification - Discussion

2. 

Determine the values of A, B, C, and D that make the sum term equal to zero.

[A]. A = 1, B = 0, C = 0, D = 0
[B]. A = 1, B = 0, C = 1, D = 0
[C]. A = 0, B = 1, C = 0, D = 0
[D]. A = 1, B = 0, C = 1, D = 1

Answer: Option B

Explanation:

No answer description available for this question.

Kailash said: (Aug 14, 2011)  
When A=1, B=0, C=1, D=0 THEN ANS WILL BE ZERO.

Surya Bharathi said: (Sep 20, 2011)  
Since B and D are not inversed their values should be 0.

A and D inversed their values should be 1.

Prabha said: (Dec 21, 2011)  
A is negotiate the value must be 1 so that A value will be zero same like C is negotiate the value must be 1 so that C value will be zero if all the values are zero then if we add those values we will get zero.

Sunellagirl said: (Aug 29, 2012)  
Isnt A'=0 and b=1 and c'=0 and d=1?

Sonu said: (Sep 1, 2012)  
Yes Sunella. You are correct. The answer is error.

Atoroyo David said: (Oct 10, 2012)  
A'=1 so that A=0, C'=1 and C=0 summing up the answer is zero.

Vidushi said: (Apr 12, 2013)  
As we are talking about complement so the value of a & c becomes 0 if we take them as 1. So correct answer is B.

Chandan said: (Mar 26, 2014)  
A'+B+C'+D = 1'+0+1'+0 = 0+0+0+0 = 0.

Tuhin said: (Dec 15, 2014)  
When you add a variable with 1 result will be equivalent to 1 as the Boolean logic A+1 = 1. Again, the result will be equivalent to variable when you'd add any variable with 0 according to Boolean 2nd logic A+0 = A (if A = 1, A + 0 = 1).

So it is proved that if we make any sum term equal to 0, value of every variable will must be 0 in that sum term. If we determine A = 0, it will be inverted into 1. But value 1 is not allowed for this term. So, the values will be A = 1, B = 0, C = 1 & D = 0.

Sampriti said: (Aug 7, 2015)  
Sum =0 and carry generated will be 1.

Ishu said: (Feb 23, 2017)  
A=1 and C=1 so, it's complement is going to be 0.

B and D is already zero. Therefore in sum all are zero produces the result zero.

Nitin said: (Dec 12, 2017)  
Anyone, please explain this problem in detail.

Mzwakhe said: (Apr 5, 2019)  
A = 1 it will be negated to 0 C = 1 it will also be negated to 0 therefore the expression has OR operator:

A + B + C + D = 0 when,
A = 0 B = 0 C = 0 D = 0 because OR operator takes the favor of 1,
0 + 0 + 0 + 0 = 0.

Pavan said: (Apr 24, 2019)  
Sop (sum of products)
Minterm A^=1.
A=O.

POS (product of sum)
Maxterm A^=0,
A=1.

Admin said: (Nov 4, 2019)  
Since we have to get the sum as 0 so we have to convert all the inputs into 0 so for A bar to be 0 we have to take A as 1 and for B there is no bar means inversion so we take it as 0 only do it in the same way for the other.

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