Question

Calculate the dual of the Boolean expression (B’ + C) . A.  
1. (B' . A) + C
2. (B' . C) + A
3. (B' . A) + A
4. (B' . C') + A

Answer 1

Correct Answer - Option 2 : (B' . C) + A

Concept:

Duality theorem states that the dual of the Boolean function is obtained by interchanging the logical AND operator with logical OR operator and zeros with ones. For every Boolean function, there will be a corresponding Dual-function.

Calculation:

On interchanging the logical AND operator with logical OR operator and zeros with ones,

(B’ + C) . A = (B’.C) +  A

Hence option (2) is the correct answer.