GATE | GATE-CS-2007 | Question 85

What is the maximum number of different Boolean functions involving n Boolean variables?
(A) n2
(B) 2n
(C) 22n
(D) 2n2


Answer: (C)

Explanation:

No of inputs sequences possible for a n variable Boolean function = 2n

Each input sequence can give either T or F as output ( 2 possible values )

So, Total no of Boolean functions are -

2X2X2X2X2X2X.............X2X2X2X2X2X2

<-------------------- 2n Times -------------->

22n


Quiz of this Question



My Personal Notes arrow_drop_up


Article Tags :

Be the First to upvote.


Please write to us at contribute@geeksforgeeks.org to report any issue with the above content.