8. Create a Truth Table for the following logic expression: АВ + СА + Св

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
icon
Related questions
Question
**8. Create a Truth Table for the following logic expression:**

\( \overline{\overline{AB} + \overline{CA} + \overline{CB}} \)

**Explanation:**
- This is a logical expression involving variables A, B, and C.
- The expression uses negation (indicated by the overline) and logical OR operations (indicated by the plus sign).
- It requires the creation of a truth table that evaluates all possible combinations of inputs A, B, and C to determine the truth value of the expression.
Transcribed Image Text:**8. Create a Truth Table for the following logic expression:** \( \overline{\overline{AB} + \overline{CA} + \overline{CB}} \) **Explanation:** - This is a logical expression involving variables A, B, and C. - The expression uses negation (indicated by the overline) and logical OR operations (indicated by the plus sign). - It requires the creation of a truth table that evaluates all possible combinations of inputs A, B, and C to determine the truth value of the expression.
Expert Solution
Step 1

Explanation:

  • As there are three variables so there will be 23=8 cases for the given expression.
  • The addition function computes 1, if any of one input value is 1, it computes 0, only if all the input values are 0.
  • The multiplication computes 1, if all the values are 1, otherwise computes 0.
  • The negation or bar function simply reverse the input values.
  • The below tables shows the truth table value for the given expression.
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Structure chart
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education