How many number of possible output functions can be derived from N input variables?

Actually, there can be \(2^{2^{n}}\) logic functions for n input variables. This means there can be \(4 (= 2^{2^{1}} = 2^2)\) possible outcomes of a single input variable; \(16 (= 2^{2^{2}} = 2^4)\) outputs from two-input system; \(256(= 2^{2^{3}} = 2^8)\) outputs from three-input system, and so on.

How many maximum number of logic functions can be realized using n variables?

With N-variables, maximum possible Self-Dual Function = (2)2” = 22“72) • Remember that with N-variables, maximum possible distinct logic functions = 22”.

How many combinations are possible for a N variable in a truth table?

There can be 2N input combination in the truth table of a logic system having N input binary variables.

How many possible combinations of input variables exist in a 4 variable expression?

There are 16 combinations of the variables and their inverses— that is, possible inputs to a 4-bit function.

How many different logic functions are there for n variables?

Theorem 1.

There are 22n different Boolean functions on n Boolean variables.

How many self dual logic functions of N input variables are there?

Theorem There are 22n−1 different self-dual functions of n variables.

How many possible operators are there in 3 variables?

We would expect there to be 256 logically unique expressions over three variables (2^3 assignments to 3 variables, and 2 function values for each assignment, means 2^(2^3) = 2^8 = 256 functions).

How many Boolean functions are possible with 3 variables such that there are exactly 3 Minterms?

If we draw the truth table with 3 variables, then 23 combinations are possible.

What is the number of Boolean functions that can be designed from 3 inputs?

2 2 3 = 28 = 256

Therefore, according to the above table, a maximum of 256 Boolean functions can be generated with 3 variables.

How many distinct switching functions are possible with three variables?

Similarly, for three variables, there are 2×2×2=23 combinations between these variables.

How many distinct N Boolean circuits are there?

If you have n boolean inputs to a function, you get to specify the output for each of 2**n possible inputs. There are 2**(2**n) ways to do that that are all different. So for a 4 input function, there are 2**16 or 65536 ways to fill in the boxes.

How many possible values are there for a Boolean variable?

Boolean values

A variable of the primitive data type boolean can have two values: true and false (Boolean literals).

How many switching functions are there?

Abstract: A switching function is a function of variables which take only the values 0 and 1, and which takes only these values itself. There are 256 different switching functions of three variables, but only 218 of these really depend on all three variables.

How many Boolean functions are possible with ternary variables?

2 boolean variable
boolean variable and set ‘B’ contain 2 boolean variable. is the number of element in set ‘A’. ternary numbers and set ‘B’ contain 2 boolean variable.

How many min terms and Boolean functions can be formed using n Boolean variables?

2n min-terms