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GATE | GATE-CS-2007 | Question 85

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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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Last Updated : 28 Jun, 2021
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