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Draw a DFA that accepts the following language over the alphabet {0,1}: the set of all strings that contain a substring of four consecutive symbols exactly two of which are 1. Your DFA must handle all input strings in {0,1}*. Here is the best way to approach this problem: 1. Figure out all the final states and label them with the substring that causes the acceptance. Draw them in a line or column in alphanumeric order. 2. Draw the DFA working your way backwards from these final states to the starting state, labelling each intermediate state with the component of the substring recognized so far. This labelling is important in order to not get confused and to be able to work out step 3! 3. Complete the DFA with the missing transitions and states.

Draw a DFA that accepts the following language over the alphabet {0,1}: the set of all strings that contain a substring of four consecutive symbols exactly two of which are 1. Your DFA must handle all input strings in {0,1}*. Here is the best way to approach this problem: 1. Figure out all the final states and label them with the substring that causes the acceptance. Draw them in a line or column in alphanumeric order. 2. Draw the DFA working your way backwards from these final states to the starting state, labelling each intermediate state with the component of the substring recognized so far. This labelling is important in order to not get confused and to be able to work out step 3! 3. Complete the DFA with the missing transitions and states.

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Draw a DFA that accepts the following language over the alphabet {0,1}: the set of all strings that contain a substring of four consecutive symbols exactly two of which are 1. Your DFA must handle all input strings in {0,1}*. Here is the best way to approach this problem: 1. Figure out all the final states and label them with the substring that causes the acceptance. Draw them in a line or column in alphanumeric order. 2. Draw the DFA working your way backwards from these final states to the starting state, labelling each intermediate state with the component of the substring recognized so far. This labelling is important in order to not get confused and to be able to work out step 3! 3. Complete the DFA with the missing transitions and states.
Transcribed Image Text:Draw a DFA that accepts the following language over the alphabet {0,1}: the set of all strings that contain a substring of four consecutive symbols exactly two of which are 1. Your DFA must handle all input strings in {0,1}*. Here is the best way to approach this problem: 1. Figure out all the final states and label them with the substring that causes the acceptance. Draw them in a line or column in alphanumeric order. 2. Draw the DFA working your way backwards from these final states to the starting state, labelling each intermediate state with the component of the substring recognized so far. This labelling is important in order to not get confused and to be able to work out step 3! 3. Complete the DFA with the missing transitions and states.
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