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Give the regular expression of the set of all even strings over the alphabet {a, b} along with at least one of the two substrings aa or bb. As well construct the finite automata which can accept the above language.
Ans: Let us very firstly draw the finite automata that accepts set of all even strings over alphabets
{a, b}. The regular expression for class of strings accepted through the automata is
(aa + bb + abba + abab + baba + baab)*
The decimal equivalent of Binary number 10101 is ? Ans. 1x2 4 + 0x2 3 +1x2 2 +0x2 1 + 1x2 0 = 16 + 0 + 4 + 0 + 1 = 21.
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