/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 4 What is a Boolean expression?... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Problem 4

What is a Boolean expression?

Short Answer

Expert verified
Answer: A Boolean expression is a logical statement that results in a true or false outcome, consisting of variables, operators, and literals. Some examples of Boolean expressions are x 鈭� y (true if both x and y are true), a 鈭� b (true if either a or b is true), 卢x (true if x is false), and (x 鈭� y) 鈭� (卢z) (true if both x and y are true or if z is false).

Step by step solution

01

1. Definition of a Boolean Expression

A Boolean expression is a logical statement that results in a true or false outcome. It is named after the mathematician George Boole, who developed the concept of Boolean algebra. Boolean expressions are used in various fields, such as computer programming, digital electronics, and logic design.
02

2. Components of a Boolean Expression

A Boolean expression consists of variables, operators, and literals. Variables represent the unknown values in the expression, while literals represent the true or false values. Operators are the mathematical symbols used to combine or manipulate the variables, such as AND, OR, and NOT.
03

3. Boolean Operators

There are three primary Boolean operators used in Boolean expressions: 1. AND - represented by the symbol \(\wedge\). It returns true only when both operands are true. 2. OR - represented by the symbol \(\vee\). It returns true when at least one of the operands is true. 3. NOT - represented by the symbol \(\neg\). It returns true when the operand is false, and vice versa.
04

4. Examples of Boolean Expressions

Here are some examples of Boolean expressions: 1. x \(\wedge\) y - this expression returns true only if both x and y are true. 2. a \(\vee\) b - this expression returns true if either a or b is true (or both are true). 3. \(\neg\) x - this expression returns true if x is false, and vice versa. 4. (x \(\wedge\) y) \(\vee\) (\(\neg\) z) - this expression returns true if both x and y are true or if z is false. These examples demonstrate some simple Boolean expressions that evaluate to true or false based on the values of the variables and literals and the relationships created by the operators.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Convert the following pseudocode to an If-Then-Else If statement: If number == 1 Then Display "One" Else If number == 2 Then Display "Two" Else If number == 3 Then Display "Three" Else Display "Unknown" End If End If End If

How does a dual alternative decision structure work?

What is a multiple alternative decision structure?

You need to write a multiple alternative decision structure, but the language you are using will not allow you to perform the test you need in a select Case statement. What can you do to achieve the same results?

If the following pseudocode were an actual program, what would it display? Declare String s1 = "New York" Declare String s2 = "Boston" If s1 > s2 Then Display s2 Display s1 Else Display s1 Display s2 End If
See all solutions

Recommended explanations on Computer Science Textbooks

Computer Programming

Read Explanation

Computer Network

Read Explanation

Computer Systems

Read Explanation

Computer Organisation and Architecture

Read Explanation

Game Design in Computer Science

Read Explanation

Data Representation in Computer Science

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.