Draw a state diagram for a DFA that accepts any binary string (e.g.,0101000) that ends with three or more consecutive zeroes.
Draw a state diagram for a DFA that accepts any binary string (e.g.,0101000) that ends with...
Consider the ternary number system. Draw a state diagram for a DFA that accepts ternary strings that are not divisible by nine. What is the corresponding regular expression?
Draw a DFA that accepts all binary strings of length 4 modulo 7.
Design a DFA with 2 states that accepts the language of all binary numbers that are divisible by 3. Demonstrate it with a two-state DFA and a proof that the accepted language is precisely binary strings representing numbers divisible by 3. Otherwise, prove that such a two-state DFA is impossible.
Draw a DFA which accepts the following language over the alphabet of {0,1}: the set of all strings such that there are no consecutive 0s, and the number of 1s is divisible by 5. Your DFA must handle all intput strings in {0,1}*. Here is a way to approach the problem: First focus only building the DFA which accepts the language: As you build your DFA, label your states with an explanation of what the state actually represents in terms...
For each of the following languages, give the state diagram of a DFA that accepts the languages. a) (ab) ∗ ba b) aa(a + b) +bb c) ((aa) +bb) ∗
Part B - Automata Construction Draw a DFA which accepts the following language over the alphabet of {0,1}: the set of all strings such that the number of 0s is divisible by 2 and the number of 1s is divisible by 5. Your DFA must handle all intput strings in {0,1}*. Here is a methodical way to do this: Figure out all the final states and label each with the shortest string it accepts, work backwards from these states to...
Draw a DFA which accepts the following language over the alphabet of {0,1}: the set of all strings such that there are two consecutive 0s or the number of 1s is not divisible by 5. Your DFA must handle all intput strings in {0,1}*. (Hint: look at solution of previous question)
Construct a DFA for the simpler language, then use it to give the state diagram of a DFA for the language given. In all parts, Σ = {0, 1} {w|w is any string not in 0*1*}
4. (20 points) Draw a state diagram for Mealy Machine that your state diagram minimum? Prove it. accepts every occurrence of the staring 10101. I
4. (20 points) Draw a state diagram for Mealy Machine that your state diagram minimum? Prove it. accepts every occurrence of the staring 10101. I
1. Draw the state diagram and state table for a 2-bit binary counter. (20%)