Updated March 6, 2023

## Introduction to Matlab boolean

MATLAB Boolean operators are used to return logical values (True for 1 and False for 0) in case we want to check if a condition is met or not. Boolean operators are very useful in codes where we need to execute code lines based on certain conditions.

For example, we can compare 2 numbers using logical operators and get True in the output if the numbers are equal else False.

**Syntax:**

Logical AND (&), OR (|), NOT (~) are some of the commonly used Boolean operators.

### How to use Matlab boolean with Examples?

Let us now understand how to use logical or Boolean operators in MATLAB. We will discuss 2 scenarios:

- The use of Boolean operators in arrays
- The use of Boolean operators in circuits

#### Example #1

In this example, we will use an ‘&’ operator between 2 matrices. An ‘&’ operator will give ‘1’ as the output if the corresponding elements in both the matrices are non-zero, else it will give ‘0’ as the output. The steps to be followed for this example are:

- Initialize the input matrices
- Use the ‘&’ operator between the matrices

**Code:**

```
A = [5 4 1; 5 2 0; 1 0 1]
[Initializing the 1
```

^{st} matrix]
B = [0 1 1; 0 0 0; 1 9 3]
[Initializing the 2^{nd} matrix]
A & B

[Using the Boolean operator ‘&’ between the matrices. The output will be a matrix of 0s and 1s]

This is how our input and output will look like in MATLAB:

**Input:**

```
A = [5 4 1; 5 2 0; 1 0 1]
B = [0 1 1; 0 0 0; 1 9 3]
A & B
```

**Output:**

As we can see in the output, the Boolean operator ‘&’ gives ‘1’ as the output if the corresponding elements in both the matrices are non-zero, else it gives ‘0’ as the output

Next, we will see the use of the ‘&’ operator in the circuits

#### Example #2

When used in circuits, the ‘&’ operator will give ‘1’ as the output if both the variables are non-zero, else it will give ‘0’ as the output. The steps to be followed for this example are:

- Initialize the input variables
- Use the if-else loop along with the Boolean ‘&’ operator

**Code:**

`a = 10`

[Initializing the 1^{st} variable]
b = 20

[Initializing the 2^{nd} variable]
c = 0

[Initializing the 3^{rd} variable]
if (a && b)

disp(‘Both the numbers are non-zero’);

else

disp(‘Both the numbers are not non-zero’);

end

[This loop with Boolean ‘&’ operator will check if both the variables are non-zero; In this example we have taken both ‘a’ and ‘b’ as non-zero]
if (a && c)

disp(‘Both the numbers are non-zero’);

else

disp(‘Both the numbers are not non-zero’);

end

[This loop will check if both the variables ‘a’ and ‘c’ are non-zero]

This is how our input and output will look like in MATLAB:

**Input:**

`a = 10`

b = 20

c = 0

if (a && b)

disp('Both the numbers are non-zero');

else

disp('Both the numbers are not non-zero');

end

if (a && c)

disp('Both the numbers are non-zero');

else

disp('Both the numbers are not non-zero');

end

**Output:**

- In the 1
^{st}loop, both the variables ‘a’ and ‘b’ are non-zero, so the output after using Boolean ‘&’ operator is “Both the numbers are non-zero” - In the 2
^{nd}loop, the variables ‘a’ is non-zero, whereas the variable ‘c’ is zero, so the output after using Boolean ‘&’ operator is “Both the numbers are not non-zero”

#### Example #3

In this example, we will use an ‘|’ (OR) operator between 2 matrices. An ‘|’ operator will give ‘1’ as the output if any one of the corresponding elements in the matrices is non-zero, else it will give ‘0’ as the output. The steps to be followed for this example are:

- Initialize the input matrices
- Use the ‘|’ operator between the matrices

**Code:**

```
A = [2 4 6; 2 2 0; 3 0 7]
[Initializing the 1
```

^{st} matrix]
B = [0 4 1; 1 0 0; 2 0 3]
[Initializing the 2^{nd} matrix]
A | B

[Using the Boolean operator ‘|’ between the matrices. The output will be a matrix of 0s and 1s]

This is how our input and output will look like in MATLAB:

**Input:**

```
A = [2 4 6; 2 2 0; 3 0 7]
B = [0 4 1; 1 0 0; 2 0 3]
A | B
```

**Output:**

As we can see in the output, the Boolean operator ‘|’ gives ‘1’ as the output if any one of the corresponding elements in the matrices is non-zero, else it gives ‘0’ as the output.

Next, we will see the use of the ‘|’ operator in the circuits

#### Example #4

When used in circuits, the ‘|’ operator will give ‘1’ as the output if any one of the variables is non-zero, else it will give ‘0’ as the output. The steps to be followed for this example are:

- Initialize the input variables
- Use the if else loop along with the Boolean ‘|’ operator

**Code:**

`a = 0`

[Initializing the 1^{st} variable]
b = 10

[Initializing the 2^{nd} variable]
c = 0

[Initializing the 3^{rd} variable]
d = 0

[Initializing the 4^{th} variable]
if (a || b)

disp(‘At least one of the numbers is non-zero’);

else

disp(‘Both the numbers are zero’);

end

[This loop with Boolean ‘|’ operator will check if any one of the variables is non-zero; In this example we have taken ‘a’ as zero and ‘b’ as non-zero]
if (c || d)

disp(‘At least one of the numbers is non-zero’);

else

disp(‘Both the numbers are zero’);

end

[This loop will check if one of the variables ‘c’ and ‘d’ is non-zero]

This is how our input and output will look like in MATLAB:

**Input:**

`a = 0`

b = 10

c = 0

d = 0

if (a || b)

disp('At least one of the numbers is non-zero');

else

disp('Both the numbers are zero');

end

if (c || d)

disp('At least one of the numbers is non-zero');

else

disp('Both the numbers are zero');

end

**Output:**

- In the 1
^{st}loop, the variable ‘a’ is 0 and ‘b’ is non-zero, so the output after using Boolean ‘|’ operator is “At least one of the numbers is non-zero” - In the 2
^{nd}loop, both the variables ‘c’ and ‘d’ are zero, so the output after using Boolean ‘|’ operator is “Both the numbers are zero”

### Conclusion

- Boolean operators are useful in cases where we want to check if a condition is met or not.
- Boolean operators are also used in circuit codes where we need to execute code lines based on certain conditions.

### Recommended Articles

This is a guide to Matlab boolean. Here we discuss how to use logical or Boolean operators in MATLAB along with the Examples and outputs. You may also look at the following article to learn more –