Question

String 00110100 will be accepted by a DFA that accepts?

a. 1100 as substring
b. 1010 as substring
c. Only 1s
d. Only Os

Answer 1

The string 00110100 contains the substring 1100, thus a DFA that accepts strings with 1100 as a substring will accept this string.

Step-by-step explanation:

The DFA (Deterministic Finite Automaton) question is asking which of the given substrings, if any, are contained within the string 00110100. Let's analyze each option:

• a. 1100 as substring: Examining the given string, we find that the substring 1100 is indeed present, beginning at the third character of the string.
• b. 1010 as substring: The substring 1010 is not present at all in the string 00110100.
• c. Only 1s: The given string contains both 0's and 1's, so it does not consist of only 1's.
• d. Only 0s: Similarly, the string does not consist of only 0's as there are multiple 1's present.

Therefore, the correct answer is a. 1100 as substring, because the string 00110100 will be accepted by a DFA that accepts strings containing 1100 as a substring.