Homework Help is Here – Start Your Trial Now!
Engineering
Computer Engineering
4. We have learned to simplify logic expressions using Boolean Algebra and K-Maps. We can also simplify logic expressions by "collapsing some rows" in their truth tables. For example, the function F(a,b,c) = Em(2,3,7) has the truth table below. We only need to consider the rows for which F-1. By collapsing rows 2 and 3, we can write abc = 01x, where x under c means that the value of c does not matter for this collapsed row. Similarly, by collapsing rows 3 and 7, we can write abc = x11. Then, we can drop the 'x' and simplify F = a'b + bc. The collapsed truth table is shown below the original one. Then use this method to simplify the function G(a,b,c) - [m(0,2,4,6,7). original truth table row # 0 1 2 3 4 5 6 7 row # 2,3 3,7 0,1,4,5,6 abc 000 001 010 011 100 101 110 111 F all others 0 0 1 1 0 0 0 1 collapsed truth table abc 01x x 11 F 1 1 0

4. We have learned to simplify logic expressions using Boolean Algebra and K-Maps. We can also simplify logic expressions by "collapsing some rows" in their truth tables. For example, the function F(a,b,c) = Em(2,3,7) has the truth table below. We only need to consider the rows for which F-1. By collapsing rows 2 and 3, we can write abc = 01x, where x under c means that the value of c does not matter for this collapsed row. Similarly, by collapsing rows 3 and 7, we can write abc = x11. Then, we can drop the 'x' and simplify F = a'b + bc. The collapsed truth table is shown below the original one. Then use this method to simplify the function G(a,b,c) - [m(0,2,4,6,7). original truth table row # 0 1 2 3 4 5 6 7 row # 2,3 3,7 0,1,4,5,6 abc 000 001 010 011 100 101 110 111 F all others 0 0 1 1 0 0 0 1 collapsed truth table abc 01x x 11 F 1 1 0

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

need help simplifying equation

4. We have learned to simplify logic expressions using Boolean Algebra and K-Maps. We can also simplify logic expressions by "collapsing some rows" in their truth tables. For example, the function F(a,b,c) = Em(2,3,7) has the truth table below. We only need to consider the rows for which F-1. By collapsing rows 2 and 3, we can write abc = 01x, where x under c means that the value of c does not matter for this collapsed row. Similarly, by collapsing rows 3 and 7, we can write abc = x11. Then, we can drop the 'x' and simplify F = ab + bc. The collapsed truth table is shown below the original one. Then use this method to simplify the function G(a,b,c) - [m(0,2,4,6,7). original truth table row # 0 1 2 3 4 5 6 7 row # 2,3 3,7 0,1,4,5,6 abc 000 001 010 011 100 101 110 111 F abc 01x x 11 0 0 1 1 0 0 0 |1 collapsed truth table all others F 1 1 0
Transcribed Image Text:4. We have learned to simplify logic expressions using Boolean Algebra and K-Maps. We can also simplify logic expressions by "collapsing some rows" in their truth tables. For example, the function F(a,b,c) = Em(2,3,7) has the truth table below. We only need to consider the rows for which F-1. By collapsing rows 2 and 3, we can write abc = 01x, where x under c means that the value of c does not matter for this collapsed row. Similarly, by collapsing rows 3 and 7, we can write abc = x11. Then, we can drop the 'x' and simplify F = ab + bc. The collapsed truth table is shown below the original one. Then use this method to simplify the function G(a,b,c) - [m(0,2,4,6,7). original truth table row # 0 1 2 3 4 5 6 7 row # 2,3 3,7 0,1,4,5,6 abc 000 001 010 011 100 101 110 111 F abc 01x x 11 0 0 1 1 0 0 0 |1 collapsed truth table all others F 1 1 0
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
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