4. a. Given the Boolean equation ; X = ABC + ABC + ABC + ABČ + ABČ i) ii) iii) What is the number of literals? What is the number of min terms? Is the function a SOP or POS? iv) What is the number of variables? b. Draw a Karnaugh map for the following function; X = Em(0, 2, 3, 6, 7, 8, 10, 11, 14, 15) Then encircle all the octets(groups of 8), quads(Groups of 4) and pairs you can find. Using the circled groups what is X. c. Draw the logic circuit that takes two inputs A, B and gives an output of high(1) only when all inputs are either high(1) or low(0)
4. a. Given the Boolean equation ; X = ABC + ABC + ABC + ABČ + ABČ i) ii) iii) What is the number of literals? What is the number of min terms? Is the function a SOP or POS? iv) What is the number of variables? b. Draw a Karnaugh map for the following function; X = Em(0, 2, 3, 6, 7, 8, 10, 11, 14, 15) Then encircle all the octets(groups of 8), quads(Groups of 4) and pairs you can find. Using the circled groups what is X. c. Draw the logic circuit that takes two inputs A, B and gives an output of high(1) only when all inputs are either high(1) or low(0)
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
Course Title -
Transcribed Image Text:4. a. Given the Boolean equation ; X = ABC + ABČ + ABČ + ABC + ABC
i)
ii)
iii)
iv)
What is the number of literals?
What is the number of min terms?
Is the function a SOP or POS?
What is the number of variables?
b. Draw a Karnaugh map for the following function; X = Em(0, 2, 3, 6, 7, 8, 10, 11, 14, 15)
Then encircle all the octets(groups of 8), quads(Groups of 4) and pairs you can find. Using the
circled groups what is X.
c. Draw the logic circuit that takes two inputs A, B and gives an output of high(1) only
when all inputs are either high(1) or low(0)
Expert Solution
Step 1
4.(a)
Given , boolewn expression is
X = ABC + AB'C' + ABC' + AB'C' + ABC'
Here , two terms AB'C' & ABC' present twice , so as per redundant literals rule we can write Boolean expression is X = ABC + AB'C' + ABC'
(i) Number of literals is = 3*3 = 9
(ii) Number of min terms is 3.
(iii) The Boolean expression is known as sum of products (SOP).
(iv) Number of variables is 3 (i.e A,B &C).
Step 2
(b)
Step by step
Solved in 3 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,