2.1 Write regular expression for the following character sets, or reasons why no regular expression can be written: a. All strings of lowercase letters that begin and end in a. b. All strings of lowercase letters that either begin or end in a both) c. All strings of digits that contain no leading zeros d. All strings of digits that represent even numbers

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
icon
Related questions
Question
### Regular Expression Exercise

#### 2.1 Write a regular expression for the following character sets, or provide reasons why no regular expression can be written:

a. **All strings of lowercase letters that begin and end in `a`.**

b. **All strings of lowercase letters that either begin or end in `a` (or both).**

c. **All strings of digits that contain no leading zeros.**

d. **All strings of digits that represent even numbers.**

#### Explanation:

**a**: 
For strings that begin and end with `a`, the regular expression can be:
```
^a[a-z]*a$
```
Here, `^` asserts the position at the start of a line, `a` matches the start character, `[a-z]*` matches zero or more lowercase letters, and `a$` matches the last character and asserts position at the end of a line.

**b**: 
For strings that either begin or end with `a` (or both), the regular expression can be:
```
(^a[a-z]*$)|(^[a-z]*a$)
```
This combines two conditions: strings that begin with `a` or those that end with `a`.

**c**: 
For strings of digits that contain no leading zeros, the regular expression can be:
```
^[1-9][0-9]*$
```
Here, `^` asserts the position at the start of a line, `[1-9]` matches any digit from 1 to 9 (ensuring no leading zero), and `[0-9]*` matches zero or more digits.

**d**: 
For strings of digits that represent even numbers, the regular expression can be:
```
^[0-9]*[02468]$
```
This matches any sequence of digits ending in 0, 2, 4, 6, or 8, which represent even numbers.

### Notes:
- For part c, a string containing only "0" is not specified, but typically, "0" would be considered a special case.
- The regular expressions are written considering that `^` and `$` are used to assert the start and end of lines, respectively.
Transcribed Image Text:### Regular Expression Exercise #### 2.1 Write a regular expression for the following character sets, or provide reasons why no regular expression can be written: a. **All strings of lowercase letters that begin and end in `a`.** b. **All strings of lowercase letters that either begin or end in `a` (or both).** c. **All strings of digits that contain no leading zeros.** d. **All strings of digits that represent even numbers.** #### Explanation: **a**: For strings that begin and end with `a`, the regular expression can be: ``` ^a[a-z]*a$ ``` Here, `^` asserts the position at the start of a line, `a` matches the start character, `[a-z]*` matches zero or more lowercase letters, and `a$` matches the last character and asserts position at the end of a line. **b**: For strings that either begin or end with `a` (or both), the regular expression can be: ``` (^a[a-z]*$)|(^[a-z]*a$) ``` This combines two conditions: strings that begin with `a` or those that end with `a`. **c**: For strings of digits that contain no leading zeros, the regular expression can be: ``` ^[1-9][0-9]*$ ``` Here, `^` asserts the position at the start of a line, `[1-9]` matches any digit from 1 to 9 (ensuring no leading zero), and `[0-9]*` matches zero or more digits. **d**: For strings of digits that represent even numbers, the regular expression can be: ``` ^[0-9]*[02468]$ ``` This matches any sequence of digits ending in 0, 2, 4, 6, or 8, which represent even numbers. ### Notes: - For part c, a string containing only "0" is not specified, but typically, "0" would be considered a special case. - The regular expressions are written considering that `^` and `$` are used to assert the start and end of lines, respectively.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Computer Networking: A Top-Down Approach (7th Edi…
Computer Networking: A Top-Down Approach (7th Edi…
Computer Engineering
ISBN:
9780133594140
Author:
James Kurose, Keith Ross
Publisher:
PEARSON
Computer Organization and Design MIPS Edition, Fi…
Computer Organization and Design MIPS Edition, Fi…
Computer Engineering
ISBN:
9780124077263
Author:
David A. Patterson, John L. Hennessy
Publisher:
Elsevier Science
Network+ Guide to Networks (MindTap Course List)
Network+ Guide to Networks (MindTap Course List)
Computer Engineering
ISBN:
9781337569330
Author:
Jill West, Tamara Dean, Jean Andrews
Publisher:
Cengage Learning
Concepts of Database Management
Concepts of Database Management
Computer Engineering
ISBN:
9781337093422
Author:
Joy L. Starks, Philip J. Pratt, Mary Z. Last
Publisher:
Cengage Learning
Prelude to Programming
Prelude to Programming
Computer Engineering
ISBN:
9780133750423
Author:
VENIT, Stewart
Publisher:
Pearson Education
Sc Business Data Communications and Networking, T…
Sc Business Data Communications and Networking, T…
Computer Engineering
ISBN:
9781119368830
Author:
FITZGERALD
Publisher:
WILEY