start → 90 €, +, - 0,1,...,9 91 0,1,,9 92 94 0, 1,,9 0,1,,9 93 € 95 Note that +,- signs are optional. Also note that either of the string of digits before and the string of digits after can be empty but at least one of them must be nonempty. Find e-CLOSURE of each state and convert the e-NFA to an equivalent DFA using the modified subset constuction process. Show your work for full credit.

(For thought) a. A token of a computer language is any sequence of characters, with no intervening characters or white space, that taken as a unit has a unique meaning. Using this definition of a token, determine whether escape sequences, function names, and the keywords listed in Table 2.1 are tokens of the C++ language. b. Discuss whether adding white space to a message alters the message and whether messages can be considered tokens of C++. c. Using the definition of a token in Exercise 4a, determine whether the following statement is true: “Except for tokens of the language, C++ ignores all white space.”

4. Repeat Programming Exercise 3 by declaring numl, num2, and num3, and average of type double. Store 75.35 into numl, -35.56 into num2, and 15.76 into num3.

(Program) Write a program that tests the effectiveness of the rand() library function. Start by initializing 10 counters, such as zerocount, onecount, twocount, and so forth, to 0. Then generate a large number of pseudorandom integers between 0 and 9. Each time 0 occurs, increment zerocount; when 1 occurs, increment onecount; and so on. Finally, display the number of 0s, 1s, 2s, and so on that occurred and the percentage of time they occurred.