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

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