Consider the following function(in the canonical sum of products form in decimal notation):
F(A, B, C, D) = Σ(0, 2, 5, 7, 8, 9, 10, 11, 12, 15)
Which of the following expression is true about above boolean function?
I – A\’B\’D\’ + A\’BD + AC\’D\’ + AB\’ + ABC + A\’BD
II – AB\’D\’ + AC\’D\’ + AB\’ + A\’BD + ACD
III – B\’C\’D\’ + BC\’D\’ + AC\’D\’ + AB\’ + ACD + A\’BD
IV – B\’C\’D\’ + B\’CD\’ + AC\’D\’ + AB\’ + BCD + A\’BD

(A) I and II
(B) II and III
(C) III and IV
(D) I and IV


Answer: (D)

Explanation:
I – A(B ☉D) + A(B\’ + C + D)
II – A\'(B ☉D) + A(B\’ + C\’D\’) + BCD
III – B\’D\’ + BD(A\’ + C) + AB\’ + AC\’D\’
IV – B\’D\’ + A(C☉D) + AB\’ + A\’BD
So, option (D) is correct.

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