Boolean Operator

1.- Boolean operations in Matlab

2.- Video

3.- Relational operations

1.- Introduction to Boolean operations

In Matlab, there are four logical or boolean operators:

2.- Video

This video gives you an overview of the operations that can be accomplished with the software, and after that, I'll show more details and exact code...

Now, let's see more details and specific examples.

Given array x = [0 7 3 5] and array y = [2 8 7 0], these are some possible operations:

Operation:              Result:
n = x & y               n = [0     1     1     0]
m = ~(y | x)            m = [0     0     0     0]
p = xor(x, y)           p = [1     0     0     1]

Operation:              Result:
x<y                     ans = [1     1     1     0]
x<4                     ans = [1     0     0     0]
q = x((x<y) & (x<4))    q = [0     3]

Additionally to these boolean operators, there are several useful built-in logical functions, such as:

3.- Relational Operators

There are six relational operators in Matlab:

These operations result in a vector of matrix of the same size as the operands, with 1 when the relation is true, and 0 when it’s false.

Given arrays x = [0 7 3 5] and y = [2 8 7 0], these are some possible relational operations: 

Operation:              Result:
k = x<y                 k = [1     1     1     0]
k = x <= y              k = [1     1     1     0]
k = x == y              k = [0     0     0     0] 

Although these operations are usually used in conditional statements such as if-else to branch out to different cases, they can be used to do very complex matrix manipulation. For example x = y(y > 0.45) finds all the elements of vector y such that y_i > 0.45 and stores them in vector x. These operations can be combined with boolean operators, too.