Final answer:
Among the strings provided, only option d) 00000010 is accepted by a DFA that accepts any string ending with '10', as it is the only one that concludes with this exact sequence of digits.
Step-by-step explanation:
A Deterministic Finite Automaton (DFA) is a theoretical computer science model used to represent and manipulate patterns within input strings. Addressing the question, a DFA that accepts any string ending with 10 is designed to recognize the specific pattern '10' at the end of a sequence of characters. Among the given options, we are tasked with identifying which strings would be accepted by such a DFA.
- a) 11000011
- b) 11111000
- c) 1010101
- d) 00000010
Assessing each provided string:
- a) 11000011 does not end with '10'; hence it is not accepted.
- b) 11111000 also does not terminate with '10', so it is not accepted.
- c) 1010101 ends with '01', reversing the required order, therefore, it is not accepted either.
- d) 00000010 fits the requirement perfectly as it concludes with '10', making it the accepted string.
To summarize, only option d) 00000010 is accepted by a DFA designed to recognize strings that end with the digits '10'.