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 1st matrix] B = [0 1 1; 0 0 0; 1 9 3] [Initializing the 2nd 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 1st variable] b = 20
[Initializing the 2nd variable] c = 0
[Initializing the 3rd 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 1st 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 2nd 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:
<!-- wp:paragraph -->
<p><code>A = [2 4 6; 2 2 0; 3 0 7] [Initializing the 1<sup>st</sup> matrix] B = [0 4 1; 1 0 0; 2 0 3] [Initializing the 2<sup>nd</sup> matrix] A | B<br>[Using the Boolean operator ‘|’ between the matrices. The output will be a matrix of 0s and 1s]</code></p>
<!-- /wp:paragraph -->
<!-- wp:paragraph -->
<p>This is how our input and output will look like in MATLAB:</p>
<!-- /wp:paragraph -->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 1st variable] b = 10
[Initializing the 2nd variable] c = 0
[Initializing the 3rd variable] d = 0
[Initializing the 4th 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 1st 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 2nd loop, both the variables ‘c’ and ‘d’ are zero, so the output after using Boolean ‘|’ operator is “Both the numbers are zero”
