MATLAB:Logical Operators
Logical operators in MATLAB are those that link logical statements together and return true (1) or false (0) in a logical matrix depending upon the nature of the logical operator and the value of the components. Many times, logical operators are used to link together the results of several relational operators.
Logical Operators
There are four main logical operators in MATLAB:
| Name | Symbol | Example with symbol | Example in code | Text description |
|---|---|---|---|---|
| NOT | ~ | ~A | not(A) | True if A is false |
| AND | & | A & B | and(A, B) | True if both A and B are true |
| OR | | | A | B | or(A, B) | True if either A or B (or both!) are true |
| XOR | xor(A, B) | True if either A or B (but NOT both!) are true |
The following table shows the results of four different pairs of input values to the logical operators above:
| A | B | ~A | ~B | A & B | A | B | xor(A, B) |
|---|---|---|---|---|---|---|
| 0 | 0 | 1 | 1 | 0 | 0 | 0 |
| 0 | 1 | 1 | 0 | 0 | 1 | 1 |
| 1 | 0 | 0 | 1 | 0 | 1 | 1 |
| 1 | 1 | 0 | 0 | 1 | 1 | 0 |
Common Errors
The most common errors with logical operators involve the order of operations. In the absence of parenthesis, any NOT operations go first, followed by AND, then finally OR.
Questions
Post your questions by editing the discussion page of this article. Edit the page, then scroll to the bottom and add a question by putting in the characters *{{Q}}, followed by your question and finally your signature (with four tildes, i.e. ~~~~). Using the {{Q}} will automatically put the page in the category of pages with questions - other editors hoping to help out can then go to that category page to see where the questions are. See the page for Template:Q for details and examples.
