The product of sum expression of a Boolean function 𝐹(𝐴, 𝐵, 𝐶) of three variables is given by

Q. The product of sum expression of a Boolean function 𝐹(𝐴, 𝐵, 𝐶) of three variables is given by 𝐹(𝐴, 𝐵, 𝐶) = ( 𝐴 + 𝐵 + 𝐶̅ ) ∙ (𝐴 + 𝐵̅ + 𝐶̅) ∙ ( 𝐴̅ + 𝐵 + 𝐶 ) ∙ ( 𝐴̅ + 𝐵̅ + 𝐶̅ ) The canonical sum of product expression of 𝐹(𝐴, 𝐵, 𝐶) is given by

(A) 𝐴̅ 𝐵̅ 𝐶 + 𝐴̅ 𝐵 𝐶 + 𝐴 𝐵̅ 𝐶̅ + 𝐴 𝐵 𝐶

(B) 𝐴̅ 𝐵̅ 𝐶̅ + 𝐴̅ 𝐵 𝐶̅ + 𝐴𝐵̅ 𝐶 + 𝐴 𝐵 𝐶̅

(C) 𝐴 𝐵 𝐶̅ + 𝐴 𝐵̅ 𝐶̅ + 𝐴̅ 𝐵 𝐶 + 𝐴̅ 𝐵̅ 𝐶̅

(D) 𝐴̅ 𝐵̅ 𝐶̅ + 𝐴̅ 𝐵 𝐶 + 𝐴 𝐵 𝐶̅ + 𝐴 𝐵 𝐶

Ans: A̅ B̅ C̅+ A̅ B C̅+ A B̅ C + A B C̅