Homework Help is Here – Start Your Trial Now!
Engineering
Computer Engineering
What will be the output of the boolean expression Z = A.(B.B') + B.(A + A'), if A = 1, B=1.

What will be the output of the boolean expression Z = A.(B.B') + B.(A + A'), if A = 1, B=1.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
See similar textbooks
icon
Related questions
Question
**Question:** What will be the output of the Boolean expression \( Z = A \cdot (B \cdot B') + B \cdot (A + A') \), if \( A = 1 \), \( B = 1 \)? **Explanation:** Let's evaluate the expression step-by-step. 1. **Expression Breakdown:** - The expression is \( Z = A \cdot (B \cdot B') + B \cdot (A + A') \). - Given: \( A = 1 \), \( B = 1 \). 2. **Evaluate \( B \cdot B' \):** - \( B' \) is the complement of \( B \), so \( B = 1 \Rightarrow B' = 0 \). - Substituting, \( B \cdot B' = 1 \cdot 0 = 0 \). 3. **Evaluate \( A \cdot (B \cdot B') \):** - Since \( B \cdot B' = 0 \), \( A \cdot (B \cdot B') = 1 \cdot 0 = 0 \). 4. **Evaluate \( A + A' \):** - \( A' \) is the complement of \( A \), so \( A = 1 \Rightarrow A' = 0 \). - Substituting, \( A + A' = 1 + 0 = 1 \). 5. **Evaluate \( B \cdot (A + A') \):** - So, \( B \cdot (A + A') = 1 \cdot 1 = 1 \). 6. **Combine Results:** - Now, \( Z = 0 + 1 = 1 \). **Answer:** The output of the Boolean expression is \( Z = 1 \).
Transcribed Image Text:**Question:** What will be the output of the Boolean expression \( Z = A \cdot (B \cdot B') + B \cdot (A + A') \), if \( A = 1 \), \( B = 1 \)? **Explanation:** Let's evaluate the expression step-by-step. 1. **Expression Breakdown:** - The expression is \( Z = A \cdot (B \cdot B') + B \cdot (A + A') \). - Given: \( A = 1 \), \( B = 1 \). 2. **Evaluate \( B \cdot B' \):** - \( B' \) is the complement of \( B \), so \( B = 1 \Rightarrow B' = 0 \). - Substituting, \( B \cdot B' = 1 \cdot 0 = 0 \). 3. **Evaluate \( A \cdot (B \cdot B') \):** - Since \( B \cdot B' = 0 \), \( A \cdot (B \cdot B') = 1 \cdot 0 = 0 \). 4. **Evaluate \( A + A' \):** - \( A' \) is the complement of \( A \), so \( A = 1 \Rightarrow A' = 0 \). - Substituting, \( A + A' = 1 + 0 = 1 \). 5. **Evaluate \( B \cdot (A + A') \):** - So, \( B \cdot (A + A') = 1 \cdot 1 = 1 \). 6. **Combine Results:** - Now, \( Z = 0 + 1 = 1 \). **Answer:** The output of the Boolean expression is \( Z = 1 \).
Expert Solution
Step 1

Given  -  

In this problem, we are provided with a boolean expression that we need to simplify. 

Expression  -  Z = A.(B.B') + B.(A+A')

Where A  = 1, B=1

 

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Computer Networking: A Top-Down Approach (7th Edi…
Computer Networking: A Top-Down Approach (7th Edi…
Computer Engineering
ISBN:
9780133594140
Author:
James Kurose, Keith Ross
Publisher:
PEARSON
Computer Organization and Design MIPS Edition, Fi…
Computer Organization and Design MIPS Edition, Fi…
Computer Engineering
ISBN:
9780124077263
Author:
David A. Patterson, John L. Hennessy
Publisher:
Elsevier Science
Network+ Guide to Networks (MindTap Course List)
Network+ Guide to Networks (MindTap Course List)
Computer Engineering
ISBN:
9781337569330
Author:
Jill West, Tamara Dean, Jean Andrews
Publisher:
Cengage Learning
Concepts of Database Management
Concepts of Database Management
Computer Engineering
ISBN:
9781337093422
Author:
Joy L. Starks, Philip J. Pratt, Mary Z. Last
Publisher:
Cengage Learning
Prelude to Programming
Prelude to Programming
Computer Engineering
ISBN:
9780133750423
Author:
VENIT, Stewart
Publisher:
Pearson Education
Sc Business Data Communications and Networking, T…
Sc Business Data Communications and Networking, T…
Computer Engineering
ISBN:
9781119368830
Author:
FITZGERALD
Publisher:
WILEY
SEE MORE TEXTBOOKS