Digital Electronics - Boolean Algebra and Logic Simplification - Discussion

Discussion :: Boolean Algebra and Logic Simplification - General Questions (Q.No.2)

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

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.

 Vedant said: (Oct 2, 2021) Anwser is B, It's Correct because for getting zero in exp of addition, all terms must be zero so A' C' must be 1 so their compliment is zero. And b and c and d are zero.