Converting NFA to DFA

Converting NFA to DFA

• The process of converting a Non-Deterministic Finite Automata (NFA) to a Deterministic Finite Automata (DFA) involves six steps.
• The transition table for the given NFA is the starting point for the conversion process.

Step 0: Initial Transition Table

• The initial transition table for the NFA is created, which includes the states and alphabets.
• The transition table shows the next states for each current state and alphabet.

Step 01: New Set of States and Transition Table

• A new set of states Q' is created for the DFA.
• A new transition table T' is created for the DFA.

Step 02: Transitions for Start State

• The transitions for the start state q0 are added to the transition table T'.
• The transition table T' is updated with the new states and alphabets.

Step 03: Adding New States

• New states are added to the transition table T' based on the transitions.
• The new states are added to the set of states Q'.

Step 04: Repeating Step 03

• Step 03 is repeated until no new states are added to the transition table T'.
• The process stops when there are no new states to be added.

Step 05: Final States and Transition Table

• The final states of the DFA are determined based on the containing states of the NFA.
• The final transition table T' is created, which includes all the states and alphabets.

Step 06: Completing the DFA

• The DFA is complete, and the transition table T' is the final transition table.
• The DFA can be drawn based on the final transition table.

Important Points

• When converting a given NFA to a DFA, it is important to note the following points:
• If any new state is present in the transition table T', repeat Step 03 until no new state is present.
• States containing the final state of the NFA as its component are treated as final states of the DFA.
• The final transition table T' is the complete transition table of the required DFA.

Learn the 6-step process of converting a Non-Deterministic Finite Automata (NFA) to a Deterministic Finite Automata (DFA), starting with the initial transition table.