Note: 1K=$2^{10}$ and 1G=$2^{30}$
File System Free Blocks Linked List Calculation
This solution details the calculation for the number of blocks required to manage free disk blocks using a linked list approach in a file system.
Calculating Disk Blocks
First, we determine the total number of blocks on the disk based on the given disk size and block size.
- Disk Size = 16 GB = $16 \times 2^{30}$ bytes.
- Block Size = 2 KB = $2 \times 2^{10}$ bytes.
- Total Number of Blocks ($N$) = $\frac{\text{Disk Size}}{\text{Block Size}} = \frac{16 \times 2^{30}}{2 \times 2^{10}} = 8 \times 2^{20} = 2^3 \times 2^{20} = 2^{23}$ blocks.
Pointers Capacity per Block
Next, we calculate how many pointers (representing block numbers) can fit into a single disk block when it is used as a node in the linked list structure.
- Block Size = 2 KB = 2048 bytes.
- Pointer Size = 4 bytes (as block numbers are 32-bit long).
- Pointers per Block ($P$) = $\lfloor \frac{\text{Block Size}}{\text{Pointer Size}} \rfloor = \lfloor \frac{2048 \text{ bytes}}{4 \text{ bytes}} \rfloor = 512$ pointers.
Free List Storage Blocks
The number of blocks required for the linked list is determined by dividing the total number of blocks ($N$) by the capacity of each block ($P$), rounded up, to ensure all free disk block numbers can be accounted for.
- Number of Blocks = $\lceil \frac{N}{P} \rceil$.
- Substituting the values: Number of Blocks = $\lceil \frac{2^{23}}{512} \rceil = \lceil \frac{2^{23}}{2^9} \rceil = \lceil 2^{14} \rceil$.
This calculation determines the minimum number of blocks needed to store the linked list structure for tracking free disk blocks.
Final Answer
The number of blocks required to hold the free disk block numbers is an integer value.
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Important Questions from File System
A mechanism for arranging controlled access to a shared resource, like a file, is called:
Which UNIX/Linux command is used to make all files and sub-directories in the directory “progs” executable by all users?
In Linux operating system environment ________ command is used to print a file.
Consider the following statements :
(a) UNIX provides three types of permissions
Read
Write
Execute
(b) UNIX provides three sets of permissions
permission for owner
permission for group
permission for others
Which of the above statement/s is/are true ?
Match the following WINDOWS system calls and UNIX system calls with reference to process control and File manipulation.
Windows
UNIX
A. Create-process( )
I. Open( )
B. WaitForSingleObject( )
II. Close( )
C. CreateFile( )
III. Fork( )
D. CloseHandle( )
IV. Wait( )
