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DFA examples | 3rd symbol from right in string is a | TOC.GATE.NET

DFA: 3rd symbol from right in string is a. • DFA rejects any string of length less than 3. • For any symbol in string, we need to consider 2 possibilities. (symbol is a, symbol is not a) • Even if alphabet has 3 symbols, number of states is (2 power 3) NOT (3 power 3) • Half of the total states have a as second symbol from right. So they are final states. Half of the total states Do Not have a as second symbol from right. So they are non-final states. • To design DFA for “nth symbol from right is a”, Minimum number of states required is (2 power n) . Half of them, (2 power n-1) will be final states and remaining half of them, (2 power n-1) will be non-final. For Examples of minimal DFA: https://drive.google.com/drive/folder...