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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.

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
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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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:

 

  1. The number of loops (transitions from a state to itself).
  2. The number of transitions into a state (including loops) on input 1.
  3. 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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