Electronics and Communication Engineering - Digital Electronics - Discussion

41. 

The number of distinct Boolean expression of 4 variables is

[A]. 16
[B]. 256
[C]. 1024
[D]. 65536

Answer: Option D

Explanation:

22n = 224 = 216 .


Gaurang said: (Sep 24, 2016)  
The question here is a number of distinct boolean expressions, which are all min terms I suppose.

So, answer should be A.

Mega said: (Jul 10, 2017)  
The correct Answer is A.

Rishi Ram Panth said: (Jul 25, 2017)  
How is it A? Can you please explain?

Saurav Sharma said: (Aug 21, 2017)  
According to the explanation: 2^2^4 = 2^16.

But actually, it has to be: 2^2^4 = 2^8.

So how it will be A?

Dhanya said: (Jul 31, 2018)  
How many minterms/maxterms possible = 2^n=2^4=16.

How many expressions/functions are possible = 2^2^4 =2^16 =6556.

Vasista said: (Feb 4, 2019)  
The combination of minterms give the number of possible expressions.

2^n gives the number of possible values with n bits.
2^(2^n) gives the answer.

In this case 2^4=16 and 2^16 = 65536.

Raj said: (Oct 11, 2019)  
What you mean by expressions?

Santosh Gupta said: (May 1, 2021)  
@Dhanya,

Your explanation is awesome. Thanks.

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