Let = {0, 1}. Consider the following languages over Σ. L1 {w: every second letter of w is 0} L2 = {w every third letter of w is 1} = (a) Write down a length 5 string that is in L1 ^ L2. (b) Give the state diagram for a DFA that recognizes L1. (c) Give the state diagram for a DFA that recognizes L2.

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Let = {0, 1}. Consider the following languages over Σ.
L1 {w every second letter of w is 0}
L2 = {w every third letter of w is 1}
:
(a) Write down a length 5 string that is in L1 L2.
(b) Give the state diagram for a DFA that recognizes L1.
(c) Give the state diagram for a DFA that recognizes L2.
(d) Give the state diagram for a DFA that recognizes L1 L2.
Transcribed Image Text:Let = {0, 1}. Consider the following languages over Σ. L1 {w every second letter of w is 0} L2 = {w every third letter of w is 1} : (a) Write down a length 5 string that is in L1 L2. (b) Give the state diagram for a DFA that recognizes L1. (c) Give the state diagram for a DFA that recognizes L2. (d) Give the state diagram for a DFA that recognizes L1 L2.
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