raw the state diagram of an FSM which accepts a binary stream and outputs a ‘1’ whenever it detects a pattern “1111”. Overlapping sequences are allowed. For example: Input Stream: 1 1 1 1 0 1 1 1 1 1 0 0 1 0 1 Output: 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 Perform state encoding. Show the tabular representations of next state and output functions. Derive minimized Boolean equations for next state and output functions.

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
icon
Related questions
Question

Draw the state diagram of an FSM which accepts a binary stream and outputs a ‘1’ whenever it detects a pattern “1111”. Overlapping sequences are allowed.

For example:

Input Stream: 1 1 1 1 0 1 1 1 1 1 0 0 1 0 1

Output: 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0

Perform state encoding. Show the tabular representations of next state and

output functions.

Derive minimized Boolean equations for next state and output functions.

 

I am having a hard time figuring this question out. please help and provide explanation.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Binary numbers
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.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Database System Concepts
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)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education