lify the following Boolean equations using algebr 1. AB+A(B+C) + B(B+C) =Y1 2. AB+A(B+C) +B(B+C) =Y2 3. (AB(C+BD) +AB)C=Y3

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
Simplify the following Boolean equations using algebraic manipulation:
1. AB+A(B+C) + B(B+C) =Y1
2. AB+A(B+C) +B(B+C) =Y2
3. (AB(C+BD) + AB)C=Y3
4. ABC+ABC + ABC + ABC + ABC=Y4
5.
C+ BC=Y5
6. (AB) (A+B) (B+B) =Y6
7. (A+C) (AD+AD) + AC+C=Y7
8. A (A+B) +(B+A) (A+B) =Y8
9. A (A+BC) +A (B+C) =Y9
10. AC (ABD) +ABCD +ABC=Y10
11. (A+B) (A+B+D) D=Y11
12. ABC+ĀB+ABC=Y12
13. (A+B+AB) (AB+ AC + BC) =Y13
14. AB (D+CD) + B (A+ĀCD)=Y14
15. (C+D) + ACD + ABC + ABCD + ACD=Y15
Transcribed Image Text:Simplify the following Boolean equations using algebraic manipulation: 1. AB+A(B+C) + B(B+C) =Y1 2. AB+A(B+C) +B(B+C) =Y2 3. (AB(C+BD) + AB)C=Y3 4. ABC+ABC + ABC + ABC + ABC=Y4 5. C+ BC=Y5 6. (AB) (A+B) (B+B) =Y6 7. (A+C) (AD+AD) + AC+C=Y7 8. A (A+B) +(B+A) (A+B) =Y8 9. A (A+BC) +A (B+C) =Y9 10. AC (ABD) +ABCD +ABC=Y10 11. (A+B) (A+B+D) D=Y11 12. ABC+ĀB+ABC=Y12 13. (A+B+AB) (AB+ AC + BC) =Y13 14. AB (D+CD) + B (A+ĀCD)=Y14 15. (C+D) + ACD + ABC + ABCD + ACD=Y15
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Embedded software development
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