Question

Design a finite state machine that accepts the language of all binary strings which starts with 0 , and has exactly one occurrence of 010 . For example, strings such as 01101011,010,00010 should be accepted by the finite state machine. Strings such as 1010,0111,010010 should be rejected by the finite state machine.

Answer 1

To design a finite state machine that accepts binary strings starting with 0 and having exactly one occurrence of 010, we can use a state diagram.

Step-by-step explanation:

To design a finite state machine that accepts the language of all binary strings which starts with 0 and has exactly one occurrence of 010, we can use a state diagram. The state diagram will have three states: S0, S1, and S2. State S0 represents the initial state, where no 0 or 010 has been encountered yet. State S1 represents the state after encountering a 0, and state S2 represents the state after encountering 01. From state S2, if we encounter another 0, we transition back to state S0, indicating the end of the string and accepting it. If we encounter any other input, we stay in state S2.

Here is the state diagram: