This is the problem: Consider the Boolean expression (X+Y)(+Z)(Y+Z). Obtain the sum-of-products. Use a K-map to obtain its minimal sum-of-products. The image below is how far I got. Every K-Map exercise I've done so far has always had minterms with the same number of variables, but I came up with this SOP that has 2 and 3 variable minterms; so I don't know if I did something wrong in obtaining the SOP or how I'm supposed to enter the minterms in the K-Map here.
This is the problem: Consider the Boolean expression (X+Y)(+Z)(Y+Z). Obtain the sum-of-products. Use a K-map to obtain its minimal sum-of-products. The image below is how far I got. Every K-Map exercise I've done so far has always had minterms with the same number of variables, but I came up with this SOP that has 2 and 3 variable minterms; so I don't know if I did something wrong in obtaining the SOP or how I'm supposed to enter the minterms in the K-Map here.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
Related questions
Question
100%
This is the problem:
Consider the Boolean expression (X+Y)(+Z)(Y+Z).
-
- Obtain the sum-of-products.
- Use a K-map to obtain its minimal sum-of-products.
The image below is how far I got. Every K-Map exercise I've done so far has always had minterms with the same number of variables, but I came up with this SOP that has 2 and 3 variable minterms; so I don't know if I did something wrong in obtaining the SOP or how I'm supposed to enter the minterms in the K-Map here.
|
||||
X |
|
|
|
|
|
|
|
|

Transcribed Image Text:1) a.
(X+Y)(X + Z) (Y + Z)
=
(XX + XZ + YX + YZ)(Y + Z)
=
(XXY + XXZ + XZY + XZZ + YXY + YXZ + YZY + YZZ)
= (OY + OZ + XYZ + XZ + YX + YXZ + YZ + YZ)
(XYZ + XZ + XY + XYZ + YZ)
=
X
X
YZ ÝZ YZ YZ
Expert Solution

Step 1
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you

Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON

Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning

Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education

Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON

Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning

Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education

Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education

Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON

Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,