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Linear Algebra: A Modern Introduction
4th Edition
ISBN: 9781285463247
Author: David Poole
Publisher: Cengage Learning
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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:
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. |
it can only be one of these answers it cant be two
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- Exercises 1. Express each permutation as a product of disjoint cycles and find the orbits of each permutation. a. b. c. d. e. f. g. h.arrow_forwardDesign 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.arrow_forwardHelp me with my computational theory class homeworkarrow_forward
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