> For the complete documentation index, see [llms.txt](https://www.csprinciples.com/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://www.csprinciples.com/big-idea-3/3.5-boolean-expression.md).

# 3.5 Boolean Expression

## Enduring Understanding

The way statements are sequenced and combined in a program determines the computed result. Programs incorporate iteration and selection constructs to represent repetition and make decisions to handle varied input values.

## Learning Objective

For relationships between two variables, expressions, or values:

a. Write expressions using relational operators. 

b. Evaluate expressions that use relational operators.

## Essential Knowledge

A Boolean value is either true or false.

The exam reference sheet provides the following relational operators: =, ≠, >, <, ≥, and ≤.

Text and Block:

* a = b
* a ≠ b
* a > b
* a < b
* a ≥ b
* a ≤ b

These are used to test the relationship between two variables, expressions, or values. A comparison using a relational operator evaluates to a Boolean value. For example, a = b evaluates to true if a and b are equal; otherwise, it evaluates to false.

## Learning Objective

For relationships between Boolean values:

a. Write expressions using logical operators.

b. Evaluate expressions that use logical operators.

## Essential Knowledge

The exam reference sheet provides the logical operators NOT, AND, and OR, which evaluate to a Boolean value.

The exam reference sheet provides

Text:

NOT condition

Block:

<figure><img src="/files/V3oy3wU5p3fVsduUDNqn" alt=""><figcaption></figcaption></figure>

which evaluates to true if condition is false; otherwise it evaluates to false.

The exam reference sheet provides

Text:

condition1 AND condition2

Block:&#x20;

<figure><img src="/files/sRtmGICbiaNNACRHnXtF" alt=""><figcaption></figcaption></figure>

which evaluates to true if both condition1 and condition2 are true; otherwise it evaluates to false.

The exam reference sheet provides

Text:

condition1 OR condition2

Block:

<figure><img src="/files/0Vdg05uopcVndcPB7nOO" alt=""><figcaption></figcaption></figure>

which evaluates to true if condition1 is true or if condition2 is true or if both condition1 and condition2 are true; otherwise it evaluates to false.

The operand for a logical operator is either a Boolean expression or a single Boolean value.


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