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Consider the following regular languages over binary alphabet { 0 , 1 } and decimal alphabet { 0 , . . . , 9 }
Consider the following regular languages over binary alphabet and
decimal alphabet
Lbinary number w is a multiple of
Ldecimal number w is a multiple of
a Using the general method seen in class, design a DFA M recognizing L
Provide M according to the formal definition.
b Using the general method seen in class, design a DFA M recognizing L
Provide M as a state diagram.
c Simplify your automaton of part b to reflect the simple rule that a decimal
number is a multiple of iff it ends with a or a Provide the simplified version of M as a state diagram.
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