# Boolean

A boolean field, variable or expression can be either TRUE or FALSE.

## Boolean functions

4D provides the Boolean functions `True`

, `False`

, and `Not`

in the dedicated **Boolean** theme. For more information, see the descriptions of these commands

### Example

This example sets a Boolean variable based on the value of a button. It returns True in myBoolean if the myButton button was clicked and False if the button was not clicked. When a button is clicked, the button variable is set to 1.

` If(myButton=1) //If the button was clicked`

myBoolean:=True //myBoolean is set to True

Else //If the button was not clicked,

myBoolean:=False //myBoolean is set to False

End if

The previous example can be simplified into one line.

`myBoolean:=(myButton=1)`

## Logical operators

4D supports two logical operators that work on Boolean expressions: conjunction (AND) and inclusive disjunction (OR). A logical AND returns TRUE if both expressions are TRUE. A logical OR returns TRUE if at least one of the expressions is TRUE. The following table shows the logical operators:

Operation | Syntax | Returns | Expression | Value |
---|---|---|---|---|

AND | Boolean & Boolean | Boolean | ("A" = "A") & (15 # 3) | True |

("A" = "B") & (15 # 3) | False | |||

("A" = "B") & (15 = 3) | False | |||

OR | Boolean | Boolean | Boolean | ("A" = "A") | (15 # 3) | True |

("A" = "B") | (15 # 3) | True | |||

("A" = "B") | (15 = 3) | False |

The following is the truth table for the AND logical operator:

Expr1 | Expr2 | Expr1 & Expr2 |
---|---|---|

True | True | True |

True | False | False |

False | True | False |

False | False | False |

The following is the truth table for the OR logical operator:

Expr1 | Expr2 | Expr1 | Expr2 |
---|---|---|

True | True | True |

True | False | True |

False | True | True |

False | False | False |

**Tip:** If you need to calculate the exclusive disjunction between Expr1 and Expr2, evaluate:

` (Expr1|Expr2) & Not(Expr1 & Expr2) `