Open In App
Related Articles

GATE | GATE-CS-2007 | Question 85

Improve Article
Improve
Save Article
Save
Like Article
Like

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

Level Up Your GATE Prep!
Embark on a transformative journey towards GATE success by choosing Data Science & AI as your second paper choice with our specialized course. If you find yourself lost in the vast landscape of the GATE syllabus, our program is the compass you need.

Last Updated : 28 Jun, 2021
Like Article
Save Article
Previous
Next
Similar Reads