1. Use the following table to construct the Simplest Sum Of Product expression for the output bit A. (NOTE: A(x) is undefined for some values of x.) SHOWALL WORK!!!! X 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Р q r S A(x) undef 1 1 0 1 1 1 0 0 1 1 undef undef undef undef undef
1. Use the following table to construct the Simplest Sum Of Product expression for the output bit A. (NOTE: A(x) is undefined for some values of x.) SHOWALL WORK!!!! X 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Р q r S A(x) undef 1 1 0 1 1 1 0 0 1 1 undef undef undef undef undef
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
Related questions
Question
Need help with this homework question
Transcribed Image Text:**Instructions:**
1. Use the following table to construct the **Simplest Sum of Product** expression for the output bit A. *(Note: A(x) is undefined for some values of x).*
**SHOW ALL WORK!!!!**
**Table:**
| x | p | q | r | s | A(x) |
|----|---|---|---|---|------|
| 0 | | | | | undef |
| 1 | | | | | 1 |
| 2 | | | | | 1 |
| 3 | | | | | 0 |
| 4 | | | | | 1 |
| 5 | | | | | 1 |
| 6 | | | | | |
| 7 | | | | | 0 |
| 8 | | | | | 0 |
| 9 | | | | | 1 |
| 10 | | | | | 1 |
| 11 | | | | | undef|
| 12 | | | | | undef|
| 13 | | | | | undef|
| 14 | | | | | undef|
| 15 | | | | | undef|
- **Undefined Values**: For some entries, A(x) is marked as "undef," indicating that these values are not defined in the context of constructing the simplest Sum of Products expression.
This table will be used to identify the minterms for which A(x) equals 1 and construct a logical expression representing these conditions.
Expert Solution
Step 1: Stating the problem:
We are given a 4-variable truth table and asked to find out the simplest Sum Of Products expression of it.
First of all we will complete the given truth table and then draw a K-map for it.
For undefined values we can write don't care (d) in K-map.
I have attached the solution below.
Step by step
Solved in 3 steps with 1 images
Knowledge Booster
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.Recommended textbooks for you
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)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
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)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education