Tutorial 4: Data Representation, Numbering Conversion, and File Permissions

Main Objectives of this Tutorial

• Understand how digital computers store data (i.e. data representation)
• Define decimal, binary, octal and hexadecimal numbers
• Manually perform numbering conversions between the decimal, binary, octal and hexadecimal numbering systems (without the use of a computer or calculator)
• Explain the purpose of file permissions
• Explain how permissions work differently for directories as opposed for regular files
• Change file permissions with the chmod command (both symbolic and absolute methods)
• Use the umask command to automatically assign permissions for newly created directories and regular files

Tutorial Reference Material

Lecture Slides:

• Week 4 Lecture Slides: PDF | PPTX

Numbering Conversion and Data Representation Definitions:

Data Representation	Decimal Numbers	Binary Numbers	Octal Numbers	Hexadecimal Numbers

File Permission Concepts:

• Introduction to File Permissions

File Permission Commands:

• chmod
• umask

Instructional YouTube Videos:

• Numbering Conversions
• File Permissions

Key Concepts

Data Representation

Digital computers are electronic devices that contain a series of circuits and voltage levels that can store / represent data.

Binary numbers can represent those series of circuits with voltage levels. Those binary numbers are combined in a sequence to form a byte. Bytes are used to represent numbers or characters.

IT professionals may need to perform numbering conversion to use with programming functions or OS commands to perform common operations on a computer system.

IT Professionals that use data representation:

• Network Specialists: Building Large Networks via Sub-netting
• Programmers: Sending information over networks, files
• Web Developers: Setting color codes for webpage background or text
• Unix/Linux System Administrators: Setting permissions for files and directories

Numbering Conversion Methods

Method 1: Binary to Decimal

When converting binary numbers to decimal numbers, perform the following steps:

1. Write down the binary number.
2. Starting from the right-side, draw L's below the binary number moving to the left (refer to diagram below).
3. Starting on the rightmost "L", multiply the value (placeholder) by 2 to the power of zero.
4. Continually repeat step #3 moving leftwards, increasing the power of 2 by 1 (refer to diagram below).
5. Add up the results to obtain the decimal value equivalent.

NOTE: To convert octal and hexadecimal numbers to decimal, replace the number 2 (in red in the diagram below) with 8 (for octal) or 16 (for hexadecimal).

Method 2: Decimal to Binary

When converting decimal numbers to binary numbers, perform the following steps:

1. Write down the decimal number to be converted.

2. On the right-side, write the number 1 and moving leftwards, keep doubling the numbers until that number is greater than the decimal number to be converted (refer to the diagram below).

3. Starting on the left-side of those doubled numbers, compare that number with the decimal number. If that number if less than or equal to the decimal number, then write a 1 below and subtract that number from the decimal number to get a remainder. If the number is greater than decimal number (or remainder), then write a 0 below.

4. Repeat step #3 (moving rightwards and comparing the number with the decimal's remainder)

   • NOTE: If you are converting to 8-bit, 32-bit, etc., add leading zeros if necessary.

Method 3: Octal to Binary and Binary to Octal

Binary to Octal

1. One octal number represents 3 binary numbers, so starting from right-side, group binary digits into groups of 3 (add leading zeros if necessary).
2. Write (4)(2)(1) under each group of 3 binary numbers.
3. Multiply the value or "placeholder" (i.e. 0's and 1's) by the corresponding (4)(2)(1) for each group to obtain the octal number (refer to diagram of binary to octal conversion below).

Octal to Binary

1. One octal number represents 3 binary numbers, so space-out the octal numbers to make space for a binary number.
2. Write (4)(2)(1) under each octal number.
3. Write 0's or 1's for each group of binary numbers to add up to the corresponding octal number (refer to diagram of octal to binary conversion below).

Method 4: Hexadecimal to Binary and Binary to Hexadecimal

Binary to Hexadecimal

1. One hexadecimal number represents 4 binary numbers, so starting from right-side, group binary digits into groups of 4 (add leading zeros if necessary).
2. Write (8)(4)(2)(1) under each group of 4 binary numbers.
3. Multiply the values or "placeholders" (i.e. 0's and 1's) by the corresponding (8)(4)(2)(1) for each group to obtain the octal number.
4. Convert values from 10 to 15 to A to F (refer to diagram of binary to hexadecimal conversion below)

Hexadecimal to Binary

1. One hexadecimal number represents 4 binary numbers, so space-out the hexadecimal numbers to make space for a binary number.
2. Convert letters A to F to 10 to 15 (refer to diagram of binary to hexadecimal conversion above)
3. Write (8)(4)(2)(1) under each hexadecimal number.
4. Write 0's or 1's for each group of binary numbers to add up to the corresponding hexadecimal number (refer to diagram of hexadecimal to binary conversion below).

Method 5: Octal to Hexadecimal and Hexadecimal to Octal

To convert using the method, simply use binary as a "bridge".

Example:

• To convert octal to hexadecimal, convert octal to binary, then convert binary to hexadecimal.
• To convert hexadecimal to octal, convert hexadecimal to binary, then convert binary to octal.

File Permissions

Since Unix / Linux operating file systems allow for multiple user accounts it is essential to have a system to share or limit access to directories and files contained within the file system.

Detailed directory listing showing permissions for a directory and a regular file.

When directories and regular files are created, they are assigned to an owner (typically the username which is the creator). To allow or limit access to those files and directories, those files and directories are assigned to an initial group referred to as a "primary group".

Users that own those directories and regular files are referred to as users, users that belong within the same group are referred to as same group members, and those users that do NOT belong to a particular group are referred to as other group members.

NOTE: In this course, we CANNOT create groups or assign users to groups in the Matrix server. Instead, you may learn how to those tasks when or if you take a Unix/Linux administration course. On the other hand, you can change which user, same group members or other group members can access or NOT access a directory or regular file.

File Permissions consist of two-layers:

First, the permissions of a directory that contains regular files, and second, permissions of the subdirectories and/or regular files within that directory. Refer to the diagram below to see the explanation of permissions of a directory.

Permissions for directories have a different meaning than permissions for regular files. Refer to the diagram below to see the explanation of permissions of a regular file.

A symbol dash "-" indicates that the permission has NOT been granted.

The permissions of newly-created directories and regular files are automatically assigned via a user mask (we will discuss this shortly). In order to change permissions for directories and regular files, you would use the chmod command.

Changing File Permissions with "chmod" command

Symbolic Method

The chmod can use symbols to add, remove, and set rwx permissions for the user, same group members, and/or other group members for a directory or reqular file.

Command	Description
chmod ugo+x script.bash	Add execute permissions to the file script.bash so it can be run
chmod u=rwx,go=x ~	Set "pass-thru" permissions of your home directory for same group members and other group members to navigate to other subdirectories (that may have access / view permissions)
chmod go-w ~/shared	Remove write permissions for same group members and other group members and other group members for the directory ~/shared
chmod a=rx myfile.txt	Set read and execute permissions for the file myfile.txt

Octal (Absolute) Method

You can also use octal numbers to set permissions. This method is a short-cut and may require less typing than using the symbolic method. You can only use this method to set file permissions (as opposed to add or remove permissions.

Since 1 octal digit represents 3 binary digits, one octal digit can represent the rwx permission granted or NOT granted. The permissions rwx are be in the form of 3 binary digits (1 represents the permission granted and 0 represents the permission NOT granted).

NOTE: You can use the -R option to set permissions for directory, subdirectory and directory contents recursively.

Setting Permissions for Newly-Created Directories and Regular Files (umask)

The umask command is used to set the permissions of newly-created directories and regular files.

Issuing the umask command without arguments will display the current umask value. Refer to the diagrams below to set the umask value for directories and regular files. Setting the umask value (for example umask 022) only takes effect for the current shell session unless the umask command is contained in a start-up file (e.g. .profile, .bash_profile, or .bashrc).

Setting umask for newly-created directories ^.

Setting umask for newly-created regular files ^

Investigation 1: Numbering Conversions

ATTENTION: The due date for successfully completing this tutorial (i.e. tutorial 4) is by Friday, July 5 @ 11:59 PM (Week 8).

For this investigation, we will NOT be logged into our Matrix account, but it is recommended to have an MS Word document open to manually perform numbering conversions.

NOTE: It is essential that you learn how to manually perform numbering conversions since you will NOT be permitted to perform quizzes, midterm, or your final exam with a computer or a calculator. Learning to quickly perform manual numbering conversions will make IT professional more productive such as setting permissions, designing computer networks, or selecting complex colors when developing webpages.

You will now get practice performing numbering conversions.

Perform the Following Steps:

1. Let's convert the following binary number 10111110 to a decimal number.

   • NOTE: It is important to learn and memorize the correct methods to perform the proper numbering conversion method (i.e. view method 1 above (drawing the L's).

2. Write the manual conversion either in your MS Word document.

3. Use a calculator to check your work. In MS Windows, you can set the calculator to Programming mode by making the selection to binary, enter the binary number 10111110 and view the decimal equivalent.

• Did you get the correct answer? If not, retry the method and check to see what you did wrong.

4. Perform a manual conversion of the decimal number 55 to a 8-bit binary number.

   • What method (displayed above) will you use? Use a calculator to check your work.

5. Perform a manual conversion of the octal number 461 to a 8-bit binary number.

   • What method (displayed above) will you use? Use a calculator to check your work.

6. Perform a manual conversion of the 8-bit binary number 11110001 to a hexadecimal number.

   • What method (displayed above) will you use? Use a calculator to check your work.

7. Perform a manual conversion of the hexadecimal number ABC to a 8-bit binary number.

   • What method (displayed above) will you use? Use a calculator to check your work.

8. Perform a manual conversion of the binary number 10101111 to an octal number.

   • What method (displayed above) will you use? Use a calculator to check your work.

9. Perform a manual conversion of the same binary number 10101111 to a hexadecimal number.

   • What method (displayed above) will you use? Use a calculator to check your work.

10. Perform a manual conversion of the octal number 5636 to a hexadecimal number.

    • What method (displayed above) will you use? Use a calculator to check your work.

11. Perform a manual conversion of the hexadecimal number D68 to an octal number.

    • What method (displayed above) will you use? Use a calculator to check your work.

12. When you have performed all of the numbering conversions above, then you can proceed to the next INVESTIGATION.

Investigation 2: File Permissions

In this investigation, you will get experience using the chmod command to change permissions for existing files and the using umask command to automatically set permissions for newly-created files.

Part 1: Changing Directory Permissions

Perform the Following Steps:

1. Login to your matrix account and issue a command to confirm you are located in your home directory.
2. Issue a single Linux command to create the following directory structure displayed in the diagram below.

• NOTE: You will now run a shell script to confirm that you properly created that directory structure in your Matrix account.

3. Issue the following Linux command to run a checking script:

~osl640/week4-check-1

4. If you encounter errors, make corrections and re-run the checking script until you receive a congratulations message, then you can proceed.
5. Issue Linux commands to create empty files for each of those newly created directories as shown in diagram below:

• NOTE: You will now run another shell script to confirm that you properly created those empty files within those specified directories.

6. Issue the following Linux command to run a checking script:

~osl640/week4-check-2

7. If you encounter errors, make corrections and re-run the checking script until you receive a congratulations message, then continue the remaining steps.

   • Let's get practice viewing permissions, changing permissions, and automatically setting permissions for newly created files.

8. Issue the following Linux commands:

ls -ld ~/documents ~/clients ~/vendors

ls -lR ~/documents ~/clients ~/vendors

• NOTE: You should see permissions already set for those newly created directories and regular files. What do these permissions mean for same group member and other group member access to those directory and regular files?

9. Let's limit access to the clients and vendors directories to only yourself and same group members. Issue the following Linux command:

chmod 750 ~/clients ~/vendors

10. Issue the ls -ld and ls -lR commands (as you did in step #8) to confirm that the permissions for those directories have been changed.

    • NOTE: The -R option for the chmod command can change the file permissions recursively within a directory structure.

11. Issue the following Linux command:

chmod 750 -R ~/documents

12. Issue the ls -ld command to confirm the permissions for the ~/documents, ~/document/memos , ~/documents/reports, and ~/documents/contracts directories.
13. Issue the following Linux command:

ls -lR ~/documents

• What do you noticed happened to the permissions for the regular files contained in those directories. Did those regular file permissions change?

Part 2: Changing File Permissions

We will now change permissions for regular text file contained in subdirectories of the documents directory to: r w - r - - - - -

1. Issue the following Linux commands:

chmod 640 ~/documents/memos/memo*.txt

chmod 640 ~/documents/reports/report*.txt

chmod 640 ~/documents/contracts/contract*.txt

2. Issue the ls -lR command for the ~/documents directory to confirm that those regular file permission have changed.

   • Let's run a checking script to make certain you correctly set permissions for those directories and files.

3. Issue the following:

~osl640/week4-check-3

4. If you encounter errors, make corrections and then re-run the checking script until you receive a congratulations message and then continue with this tutorial.

   • Let's get some practice setting permissions to allow users to make editing changes to regular files.

5. Issue the following Linux command:

chmod ugo-w ~/documents/memos/memo*.txt

6. Use the ls command to verify that those regular file's permissions have changed.

7. Using the nano or vi text editor, open the regular file ~/documents/memos/memo1.txt and type in some text and try to save your editing changes.

   • What happened?

8. To abort your editing session in vi: type :q! and press ENTER.

   • To abort your editing changes in nano: type ctrl-x
   • type n and then press ENTER when prompted to save editing changes.

9. Issue the following Linux command to add write permissions for all files in the memos directory for yourself (i.e. user):

chmod u+w ~/documents/memos/*

10. Repeat steps to edit the file ~/documents/memos/memo1.txt (as you did in step #20).

    • Were you able to edit the file and save your editing changes?

11. Issue a Linux command to view the contents of the ~/documents/memos/memo1.txt text file that you were able to edit.

Part 3: Working with umask

1. Issue the following Linux command to view permissions for your home directory:

ls -ld ~

• What does execute permissions mean for same group members and other group members in terms of your home directory?

2. Issue the following Linux command to create a new subdirectory:

mkdir ~/shared

3. Issue the following Linux command:

ls -ld ~/shared

• What are the permissions for this newly-created directory?
• Can other users access the directory pathname ~youruserid/shared ?

4. Issue the following Linux command (without an argument):

umask

• NOTE: You should see a four-digit octal number. Drop the leading zero on the left to obtain the default umask value.

5. Perform a mathematical calculation by taking the octal number 777 and subtracting the default umask value you determined in the previous step. What is the result?

6. Convert that octal number result to a binary number. What does that represent as newly created directory permissions? Does that correspond to the permissions for the newly created ~/shared directory?

7. Repeat the calculation (like in step #4) but with a umask setting of 077 to see how this new umask setting would affect permissions of newly-created directories.

8. Issue the following Linux command:

umask 077

9. Issue the following Linux command (without arguments):

umask

• NOTE: You should notice the value 0077. By dropping the leading zero to the left, that would provide the default umask value of 077.

10. Issue the following Linux command:

mkdir ~/shared2

11. Issue the following Linux command:

ls -ld ~/shared2

• Do the permissions for this newly created directory match the predicted permissions that you calculated in step #30?

12. Issue the following Linux command to create an empty regular file called myfile.txt in the ~/shared2 directory:

touch ~/shared2/myfile.txt

13. Use the ls -l command to view the permissions for this newly created regular file.

    • What do you notice about those permissions?
    • Let's run a checking script to make certain you correctly set permissions for those recently-created directories and files.

14. Issue the following:

~osl640/week4-check-4

• If you encounter errors, make corrections and then re-run the checking script until you receive a congratulations message and then continue with this tutorial.

15. Logout of your Matrix account, and then log-back into your Matrix account.
16. Issue the following Linux command (without arguments):

umask

• What happened? Referring to your notes, what do you need to do to make that umask value persistent?

WARNING: You should be extremely aware of your permissions since you may perform marked work for other courses on your Matrix server.

You should NOT set permissions to share your work with same group or other group members (unless given specific permissions instructions from your course professors). If students can have access to your directories and project files, they could copy your work and thus make yourself and other student(s) that copied your work to be charged with an Academic Integrity Violation.

Complete the Linux Practice Questions sections to get additional practice.

Linux Practice Questions

The purpose of this section is to obtain extra practice to help with your quizzes, your midterm, and your final exam.

Here is a link to the MS Word Document of ALL of the questions displayed below but with extra room to answer on the document to simulate a quiz

Your instructor may take-up these questions during class. It is up to the student to attend classes in order to obtain the answers to the following questions. Your instructor will NOT provide these answers in any other form (eg. e-mail, etc).

Review Questions:

1. List the number of digits for the following numbering systems:

   • Decimal
   • Binary
   • Octal
   • Hexadecimal

2. Write a simple chart to show which values are represented for letter A - F for a hexadecimal number.

3. How many binary digits does 1 octal digit represent?

4. How many binary digits does 1 hexadecimal digit represent?

5. Use manual numbering conversion to complete the table displayed below.

Decimal	Binary	Octal	Hexadecimal
101
	11110011
		56
			AC

6. Write the chmod command (using the symbolic method) to set “pass-through” permissions (eg. r w x - - x - - x) for your home directory using an absolute pathname.

   • Write a Linux command to verify that permissions where set.

7. Perform a binary to octal numbering conversion for the permissions: r w x - - x - - x

   • Write single Linux command to set “pass-through” permissions for your home directory, using the absolute method (i.e. octal numbers).

8. Write a single Linux command to add read permissions for same group members for the ~/tests directory.

9. Write a single Linux command to remove write permissions for same group members and other group members for the ~/projects directory. Use the symbolic method.

10. Write a single Linux command to set the permissions for the ~/assignments directory to the following using the absolute method (i.e. octal numbers): r w x r - x - - x

    • Show your work to perform a binary to octal conversion.
    • Write the command below using octal numbers and using a relative-to-home pathname.

11. Assume that you just issued the command:

chmod u=rwx,go=x ~/linux/content

• What would be the new permissions for the “content” directory?

12. Assume that you just issued the commands:

umask 077

mkdir mydir

touch mydir/myfile.txt

• What would be the permissions for the newly created directory and regular file? (show your work)

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Author: Murray Saul

License: LGPL version 3 Link: https://www.gnu.org/licenses/lgpl.html

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