Question

Dual of the Boolean expression A. (B + C) = A.B + A.C
1. A + (B + C) = A.B + A.C
2. A. (B + C) = (A + B). (A.C)
3. A + B.C = (A + B).(A + C)
4. None of the above

Answer 1

Correct Answer - Option 3 : A + B.C = (A + B).(A + C)

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.

Dual expression is also used to convert positive logic to negative logic and vice versa.

Calculation: 

A. (B + C) = A.B + A.C

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

A + B.C = (A + B).(A + C)