# 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

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.