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For the alphabet Sigma = { 0 , 1 } , let A , B , C Sigma be the languages below. i

For the alphabet \Sigma ={0,1}, let A, B, C \Sigma be the languages below.
i. A={1,0,00,11,000,111,0000,1111} ii. B={w in \Sigma |||w||>=2}
iii. C ={w in \Sigma |||w||<=2}
Note: ||w|| denotes the length of the word w.
Determine the following languages of \Sigma :
a. A\cap B. b. A\cap C. c. B\cup C. d. AB.

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