A pressure control system has a binary input represented as ABCD, with A being the most significant bit.  When the pressure is in an acceptable range we need the output of the control system to be zero.  We are in the acceptable pressure range when ABCD represents a decimal number from a minimum to 6 to a maximum of 11.  When we are in this range the system output is zero.  However, if ABCD represents a decimal number of 5 or less, or 12 or more, the system should output a 1. a.  Complete the truth table for this system b.  Create a Karnaugh map for this system c.  Based on the Karnaugh map, determine the simplest Boolean expression for this system

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...
icon
Related questions
Question

A pressure control system has a binary input represented as ABCD, with A being the most significant bit.  When the pressure is in an acceptable range we need the output of the control system to be zero.  We are in the acceptable pressure range when ABCD represents a decimal number from a minimum to 6 to a maximum of 11.  When we are in this range the system output is zero.  However, if ABCD represents a decimal number of 5 or less, or 12 or more, the system should output a 1.

a.  Complete the truth table for this system

b.  Create a Karnaugh map for this system

c.  Based on the Karnaugh map, determine the simplest Boolean expression for this system

 

Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Simplification of Boolean Functions Using Karnaugh Map
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,