Epsilon NFA to DFA Example 1 | epsilon NFA to DFA | TOC | Automata Theory

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In this video I have discussed about Epsilon NFA and how to convert epsilon NFA to NFA with example

Non-deterministic finite automata(NFA) is a finite automata where for some cases when a specific input is given to the current state, the machine goes to multiple states or more than 1 states. It can contain ε move. It can be represented as M = { Q, ∑, δ, q0, F}.
Q: finite set of states
∑: finite set of the input symbol
q0: initial state
F: final state
δ: Transition function
NFA with ∈ move: If any FA contains ε transaction or move, the finite automata is called NFA with ∈ move.
ε-closure: ε-closure for a given state A means a set of states which can be reached from the state A with only ε(null) move including the state A itself.

Steps for converting NFA with ε to DFA:
Step 1: We will take the ε-closure for the starting state of NFA as a starting state of DFA.
Step 2: Find the states for each input symbol that can be traversed from the present. That means the union of transition value and their closures for each state of NFA present in the current state of DFA.
Step 3: If we found a new state, take it as current state and repeat step 2.
Step 4: Repeat Step 2 and Step 3 until there is no new state present in the transition table of DFA.
Step 5: Mark the states of DFA as a final state which contains the final state of NFA.

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