digital logic #DRDO

Question

The total number of boolean function that can be constructed for n boolean variable is ??

Comments

$2^{2^{n}}$ should be correct answer

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Can you please explain ... I am getting confuse bcz in one of questions it's says 4 Boolean variables,how many expression can be formed ???

And option is a-16

b-256

c-1024

d- 64*1024

 

Getting confused

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With 4 variable you can represent 16 (i.e 2⁴) different number, each one can be map to either 0 or 1, Therefore everyone has 2 choices, so total 2¹⁶ boolean function is possible, i.e 2⁶ * 2¹⁰  (i.e 64 * 1024) is correct answer. 

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https://gateoverflow.in/58234/many-different-boolean-functions-there-boolean-variables

https://gateoverflow.in/32446/possible-boolean-functions-defined-variables-boolean-algebra