Consider the following statements regarding Boolean expressions.

I. A + A\'B + A\'B\'C + A\'B\'C\'D = ABCD
II. If f(A, B, C) = B⊕C, then f(A, B, C)\' = B☉C
III. Dual of (A + B + C)(A\'B\')\' = A\'B\'C\' + A + B  

Which of the following statement(s) is/are not correct?
(A) Only I and II
(B) Only I and III
(C) Only II and III
(D) All I, II, and III are correct statements


Answer: (B)

Explanation:

I. A + A\'B + A\'B\'C + A\'B\'C\'D
= A + B + A\'B\'C + A\'B\'C\'D
= A + B + C + A\'B\'C\'D\'
= A + B + C + D
So, statement I is false.

II. Complement of a XOR function is a XNOR function. 
So, statement II is true.

III. Dual of (A + B + C)(A\'B\')\' = ABC + (A\' + B\')\'
So, statement III is false. 

Hence, option (B) is correct.

Quiz of this Question