CS381hw3 - the substring 01 occurs before any copy of the...

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CS381 Homework Assignment number 3 Due Friday, September 16 Please write your name and net id on the upper right corner of each page. Do problems 1 and 2 on one sheet of paper, 3 and 4 on one sheet of paper, etc. 1. Write a regular expression for all strings of 0’s and 1’s having an even number of 0’s. Does every string denoted by your expression have an even number of 0’s? Is every string with an even number of 0’s included in your regular expression? 2. Write a regular expression for all strings of 0’s and 1’s in which all 0’s occur before any 1’s. 3. Write a regular expression for all strings of 0’s and 1’s that are of odd length. 4. Write a regular expression for all strings of 0’s and 1’s in which the total number of zeros to the right of each 1 is even. 5. Write a regular expression for all strings of 0’s and 1’s in which at least one copy of
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Unformatted text preview: the substring 01 occurs before any copy of the substring 10 occurs in the string. If there is no occurrence of the substring 10 then there need not be any copy of the substring 01. 6. Write a regular expression for all strings of 0s and 1s in which there is an even number of 0s between any two 1s. 7. Write a regular expression for all strings of 0s and 1s such that at every point in the string the number of 1s minus the number of 0s is zero, one or two. 8. Write a regular expression for all strings of 0s and 1s with an even number of 0s and an odd number of 1s. 9. Problem 3.1.4 from the book. 10. Write a regular expression for all strings of 0s and 1s such that every odd numbered 0 is immediately followed by a 0, i.e. the 0s occur in pairs....
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