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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