2. Let Σ={0,1}be the alphabet for this part. Draw an FSM bubble diagram which accepts the language of all binary strings which represent integers evenly divisible by 3. Thus, your machine should accept 0, 11, 110, 1001, 1100, 1111, 10010, etc. We won't be fussy about leading 0's on your integers, so you have the option to accept or reject 00, 011, and also empty string {?}.
2. Let Σ={0,1}be the alphabet for this part. Draw an FSM bubble diagram which accepts the...
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)
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 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...
Can you please thoroughly explain part B?
Let Σ {0,1} be an alphabet. Suppose the language Ly is the set of all strings that start with a 1 and L2 is the set of all strings that end in a 1. Describe Lj U L2 and (L1 UL2)* using English. b) Decide if the given strings belong to the language defined by the given regular expression. If it does not belong, then explain why. 0(1|€)10(e|0)*11 , strings: 0110011, 0100011001111