Understanding a Boolean formula.

### Creating a Boolean Formula

Boolean operators are used to create conditions that require a logical relationship between two or more values. Conditions that use Boolean operators are called Boolean expressions.

A and B means that both A and B must be true for the condition to be satisfied (to return a True value).

A or B means that either A or B (or both) must be true for the condition to be satisfied (to return a True value).

### Examples of Boolean Operators

Several useful examples of Boolean operators include the following:

And

Or

Not

### The AND Operator

The And operator joins the value of x and y. The And operator takes two expressions that evaluate to a Boolean. The expression evaluates True only if both x and y are true. All other combinations result in a value of False.

Value of x | Value of y | x and y |
---|---|---|

True | True | True |

True | False | False |

False | True | False |

False | False | False |

### The OR Operator

The Or operator takes two expressions that evaluate to a Boolean. If either expression evaluates True, the operator returns True. If both expressions evaluate False, the operator returns False.

Value of x | Value of y | x and y |
---|---|---|

True | True | True |

True | False | True |

False | True | True |

False | False | False |

### The NOT Operator

The NOT operator reverses the True or False value of x.

Value of x | Not x |
---|---|

True | False |

False | True |