Boolean Operators

In Matlab

Boolean Operators

You use logical operators in conditional expressions much as you use math operators in numeric expressions.

SYMBOL in Matlab

MEANING

& logical AND operator

| logical OR operator

~ logical NOT (complement)

xor exclusive-OR

Boolean Operators

The & (AND) logical operator

The & operator lets you specify multiple conditions that must be true before an action can be taken.

Condition 1 Condition 2Result of

Condition 1 & Condition 2

0 0 0

0 1 0

1 0 0

1 1 1

Boolean Operators

The & (AND) logical operator

Example in Matlab:

a = [0 0 1 1];b = [0 1 0 1];

c = a & b

Produces: c = [0 0 0 1]

Boolean Operators

The | (OR) logical operator

The | operator lets you create a more flexible set of conditions that must be met before an action can take place.

Condition 1 Condition 2Result of

Condition 1 | Condition 2

0 0 0

0 1 1

1 0 1

1 1 1

Boolean Operators

The | (OR) logical operator

Example in Matlab:

a = [0 0 1 1];b = [0 1 0 1];

c = a | b

Produces: c = [0 1 1 1]

Boolean Operators

The ~ (NOT) logical operator

The ~ operator lets you negate a condition: if a condition is false, the NOT operator makes the condition true; if a condition is true, NOT makes it false.

ConditionResult of

~ Condition

0 1

1 0

Boolean Operators

The ~ (NOT) logical operator

Example in Matlab:

a = [0 1];

b = ~a

Produces: b = [1 0]

Boolean Operators

The xor (logical exclusive-OR)

C = xor(A, B) performs an exclusive-OR operation on the corresponding elements of arrays A and B.

A BResult of xor(A, B)

0 0 0

0 1 1

1 0 1

1 1 0

Boolean Operators

The xor logical operator

Example in Matlab:

a = [0 0 1 1];b = [0 1 0 1];

c = xor(a, b)

Produces: c = [0 1 1 0]

Relational Operators

There are six relational operators in Matlab:

Symbol Meaning

< less than

<= less than or equal

> lreater than

>= greater than or equal

== equal

~= not equal

Relational Operators

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

Example:

If x = [2 5 3 9]y = [0 2 8 9]

thenIf we type… We’ll get…

a = x < y a = [0 0 1 0]

a = x <= y a = [0 0 1 1]

a = x > y a = [1 1 0 0]

a = x >= y a = [1 1 0 1]

Relational and Boolean Operators

Naturally, we can combine relational and boolean operators to create sophisticated manipulations.

For example, if we have vector x = -5 : 10 and we want to find all the elements that are only within the interval -3 < x ≤ 2, we can find them like this:

y = x(-3 < x & x <= 2)

and we get:y = [-2 -1 0 1 2]

Boolean Operators

For more examples and details, visit:

matrixlab-examples.com/boolean-operator.html