1. Design the minimum-state DFA that accepts all and only the strings of 0's and 1's that end in 010. 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 are two states that have one in-transition on input 1. b) There are three states that have one in-transition on input 1. c) There are two states that have no in-transitions on input 0. d) There is one state that has one in-transition on input 1.

1. Design the minimum-state DFA that accepts all and only the strings of 0's and 1's that end in 010. 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 are two states that have one in-transition on input 1. b) There are three states that have one in-transition on input 1. c) There are two states that have no in-transitions on input 0. d) There is one state that has one in-transition 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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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.
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