# What are the 16 boolean functions?

## What are the 16 boolean functions?

Table 1. Complete list of Boolean functions for a single input system

Name of the Boolean Function Boolean Function Meaning
Transfer $$A$$ Pass value of A
$$B$$ Pass value of B
NOT $$\bar{A}$$ Pass negated value of A
$$\bar{B}$$ Pass negated value of B

## What is a Boolean logic function?

A boolean function is a mathematical function that maps arguments to a value, where the allowable values of range (the function arguments) and domain (the function value) are just one of two values— true and false (or 0 and 1). The study of boolean functions is known as Boolean logic.

What is Boolean function in physics?

A Boolean function is described by an algebraic expression consisting of binary variables, the constants 0 and 1, and the logic operation symbols. For a given set of values of the binary variables involved, the boolean function can have a value of 0 or 1.

How many Boolean functions of 4 variables exist?

As the number of variables increases, the number of Boolean functions that can be formed increases rapidly. For three Boolean variables there are 28 = 256 possible Boolean functions, for four variables there are 216 = 65 536 possible Boolean functions and for n variables there are 2(2n) possible Boolean functions.

### How many combinations of 4 Boolean are there?

Each of four inputs may be a 1 or 0, making 2^4 = 16 total input combinations.

### How do you write a Boolean function?

The algebraic expression is known as Boolean Expression, is used to describe the Boolean Function. The Boolean expression consists of the constant value 1 and 0, logical operation symbols, and binary variables. We defined the Boolean function F=xy’ z+p in terms of four binary variables x, y, z, and p.

What does a Boolean expression look like?

A Boolean expression is a logical statement that is either TRUE or FALSE . Boolean expressions can compare data of any type as long as both parts of the expression have the same basic data type. You can test data to see if it is equal to, greater than, or less than other data.