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Problem 2 : A binary adder Let 0 Sigma contains all size 3 columns of 0 s and 1 s . A string of

Problem 2: A binary adder Let 0\Sigma contains all size 3 columns of 0s and 1s. A string of symbols in \Sigma gives three rows of Os and 1s. Consider each row to be a binary number and let B ={w \epsi \Sigma .[the bottom row of w is the sum of the top two rows) Show that B is regular. Hint: it is easier to work with B and construct a finite automaton that checks the sum from right to left. Assume the result obtained in Problem 1

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