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Formal Language & Automata TheoryDesign a DFA corresponding to regular expression 1^*(10)^*.20217mFormal Language & Automata TheoryConstruct DFA equivalent to the regular expression: (0+1)^* (00+11) (0+1)^*20227mFORMAL LANGUAGE & AUTOMATA THEORYConstruct NFA for the regular expression: (0+1)^*00(0+1)^*20237mFormal Language & Automata TheoryLet L = \{w \mid w \in \{0+1\}^*, w \text{ has even number of 1s}\}. Which one of the regular expression below represents L? (i) (0^* 10^* 1)^* (ii) 0^*(10^* 10^*)^* (iii) 0^* (10^* 1^*)^* 0^* (iv) 0^* 1(10^* 1)^* 10^*20202m