Question

What is a compound Boolean expression?

Short answer

Answer: A compound Boolean expression is a statement that combines two or more simple Boolean expressions using logical operators. The compound expression evaluates to true or false based on the logical operator used and the truth value of individual expressions. To create a compound Boolean expression, you can use logical operators such as AND (&&), OR (||), and NOT (!). For example, given two simple expressions "x > 10" and "y < 20", you can create a compound expression like "(x > 10) && (y < 20)" using the AND operator. This compound expression will be true only if both conditions are true.

Step-by-step solution

Introduction to Boolean Expressions

A Boolean expression is a statement that evaluates to either true or false. In programming, they are often used in conditional statements to determine the flow of a program. For example, a simple Boolean expression can be checking if a number is greater than 10.

Logical Operators

Logical operators are essential to form compound Boolean expressions. There are three main logical operators: 1. AND (&& or "and"): Returns true if both expressions are true. 2. OR (|| or "or"): Returns true if at least one of the expressions is true. 3. NOT (! or "not"): Returns true if the expression is false, and vice versa.

Compound Boolean Expressions

A compound Boolean expression is a statement that combines two or more simple Boolean expressions using logical operators. The compound expression is evaluated as true or false based on the logical operator used and the truth value of individual expressions.

Example of a Compound Boolean Expression

Let's look at an example. We have two simple Boolean expressions: 1. x > 10 2. y < 20 We can create a compound Boolean expression by combining these two simple expressions with any logical operator. Using the AND operator (&&), the compound expression is: (x > 10) && (y < 20) This compound expression will evaluate to true only if both x > 10 and y < 20 are true.