Design the minimum-state DFA that accepts all and only the strings of 0's and 1's that have 110 as a substring. To verify that you have designed the correct automaton, we will ask you to identify the true statement in a list of choices. These choices will involve: The number of loops (transitions from a state to itself). The number of transitions into a state (including loops) on input 1. The number of transitions into a state (including loops) on input 0. Count the number of transitions into each of your states ("in-transitions") on input 1 and also on input 0. Count the number of loops on input 1 and on input 0. Then, find the true statement in the following list. a) There is one state that has two in-transitions on input 0. b) There is one state that has one in-transition on input 0. c) There are two states that have one in-transition on input 0. d) There are two loops on input 0 and two loops on input 1.

Design the minimum-state DFA that accepts all and only the strings of 0's and 1's that have 110 as a substring. To verify that you have designed the correct automaton, we will ask you to identify the true statement in a list of choices. These choices will involve: The number of loops (transitions from a state to itself). The number of transitions into a state (including loops) on input 1. The number of transitions into a state (including loops) on input 0. Count the number of transitions into each of your states ("in-transitions") on input 1 and also on input 0. Count the number of loops on input 1 and on input 0. Then, find the true statement in the following list. a) There is one state that has two in-transitions on input 0. b) There is one state that has one in-transition on input 0. c) There are two states that have one in-transition on input 0. d) There are two loops on input 0 and two loops on input 1.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 33EQ

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		a)	There is one state that has two in-transitions on input 0.
		b)	There is one state that has one in-transition on input 0.
		c)	There are two states that have one in-transition on input 0.
		d)	There are two loops on input 0 and two loops on input 1.