Let a digit be one of the ten decimal digits 0,1,2,3,4,5,6,7,8,9. Draw the state diagram for a DFA that recognizes the language of digit strings that represent base-10 numbers that are one more than a multiple of three. For example, your DFA should accept 07658 since 07654=7654= 3(2551) + 1. On the other hand, 7655 would not be accepted since 7655= 3(2551) + 2. Hint: Use three states, representing numbers of the form 3n, 3n+1 and 3n+2. Think about what happens when we add a digit to the end of a given number. For example, when we add a 0, 3n+1, for example, will go to 10 (3n+1) = 3(10n+3)+1, in other words, back to a number of the form 3n+1. The same thing will happen when we add a 3, 6 or 9 to the end. Continuing in this way you can fill in all the transitions between the three states. Upload a pic of your state diagram.

Let a digit be one of the ten decimal digits 0,1,2,3,4,5,6,7,8,9. Draw the state diagram for a DFA that recognizes the language of digit strings that represent base-10 numbers that are one more than a multiple of three. For example, your DFA should accept 07658 since 07654=7654= 3(2551) + 1. On the other hand, 7655 would not be accepted since 7655= 3(2551) + 2. Hint: Use three states, representing numbers of the form 3n, 3n+1 and 3n+2. Think about what happens when we add a digit to the end of a given number. For example, when we add a 0, 3n+1, for example, will go to 10 (3n+1) = 3(10n+3)+1, in other words, back to a number of the form 3n+1. The same thing will happen when we add a 3, 6 or 9 to the end. Continuing in this way you can fill in all the transitions between the three states. Upload a pic of your state diagram.

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

See similar textbooks

Similar questions

Computer networking What is the future of cloud computing?
Discuss the sources of noise pollution
What are the 13 codes of CMS
What are some of the most prevalent sorts of error messages, and what do they indicate?
cloud computing and how it hosts network services and applications
Define cloud printing
List a some widely used messaging applications. Do they adhere to the same rules that SMS does?
How are voice commands and GUIs integrated in modern software applications?
Fundamentals of Information Technology
Most people aren't aware of or don't care about the restrictions of cloud computing, which may lead to problems.
Windows 2008 Active Directory and DNS Setup Tutorial
Operating system