Final answer:
The question pertains to the construction of Deterministic Finite Automata (DFAs) that recognize strings starting with a '1' and ending with a '0'. Starting with an initial state, the DFA transitions to other states with the input '1' and eventually to an accepting state with the last '0'. Transitions are defined to return to non-accepting states upon intermediate '1's to accommodate various string lengths.
Step-by-step explanation:
The student has requested state diagrams for Deterministic Finite Automata (DFAs) that recognize the language consisting of strings over the alphabet {0, 1} where the string begins with a 1 and ends with a 0. To design such a DFA, we need a series of states that guide the machine from the start state to an accepting state, ensuring that the string starts with a 1 and ends with a 0.
To start, the DFA should have an initial state that transitions to a second state upon receiving a '1'. Any additional '0's or '1's should keep the machine in states that account for these inputs, and always keeping track of the last digit read. Finally, there would be an accepting state that is only reached if the last symbol read is '0'. This ensures that the string ends with a 0. Transitions back to non-accepting states can be made upon reading a non-ending '1' to handle longer strings.