Boolean Algebra and Logic Simplification

Q1: 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

ANS:B - A = 1, B = 0, C = 1, D = 0

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.



img not found
img

For help Students Orientation
Mcqs Questions

One stop destination for examination, preparation, recruitment, and more. Specially designed online test to solve all your preparation worries. Go wherever you want to and practice whenever you want, using the online test platform.