C++ How To Program Plus Mylab Programming With Pearson Etext -- Access Card Package (10th Edition)
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Chapter 4, Problem 4.28E

(Printing the Decimal Equivalent of a Binary Number) Input an integer containing only 0s and 1s (i.e., a "binary" integer) and print its decimal equivalent. Use the remainder and division operators to pick off the "binary" number's digits one at a time from right to left. Much as in the decimal number system, where the rightmost digit has a positional value of 1, the digit left has apositional value of 10, then 100, then 1000, and so on, in the binary number system the rightmost digit has a positional value of l, the next digit left has a positional value of 2, then 4, then 8, and so on. Thus the decimal number 234 can be interpreted as2*100 + 3 *10 + 4 * 1. The decimal equivalent of the binary 1101 is 1 * 1 + 0 * 2 + 1 * 4 +1 *8 or 1 + 0 + 4 + 8, or 13. [Note: To learn more about binary numbers, refer to Appendix D.)

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[5 marks] Give a recursive definition for the language anb2n where n = 1, 2, 3, ... over the alphabet Ó={a, b}. 2) [12 marks] Consider the following languages over the alphabet ƒ={a ,b}, (i) The language of all words that begin and end an a (ii) The language where every a in a word is immediately followed by at least one b. (a) Express each as a Regular Expression (b) Draw an FA for each language (c) For Language (i), draw a TG using at most 3 states (d) For Language (ii), construct a CFG.

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C++ How To Program Plus Mylab Programming With Pearson Etext -- Access Card Package (10th Edition)

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