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OS (QUESTION BANK) UNIT-3 (Q&A)

Operating System (QUESTION BANK) (CSE) 

Question and answer

UNIT-3

LIST OF QUESTION :

1. What is a deadlock? Explain four necessary conditions for a deadlock to occur.
2. Describe in brief deadlock prevention.
3. Describe in brief deadlock detection & recovery.
4. What is semaphore? What operations are performed on semaphore?
5. What is a monitor? Write and explain the solution to the dining philosopher problem in brief using a monitor.
6. Differentiate between:
   6.1 Critical section and critical region
   6.2 Semaphore and monitor
   6.3 Deadlock prevention and deadlock avoidance
7. Elaborate with a diagram on the concept of a Resource Allocation Graph.
8. Explain various techniques used for deadlock recovery.
9. How are the wait/signal operations for a monitor different from those for semaphores?
10. List and explain various data structures used in the banker's algorithm.
11. Explain the safe state and unsafe state of the system.
12. Explain the Readers-Writers problem using semaphores.
13. List the three requirements that must be satisfied by the critical section problem.
14. What is the difference between synchronization and mutual exclusion?
15. What are various techniques used for deadlock detection? Consider the following snapshot of a system:
    ```
            Allocation       Max           Available
              A   B  C         A   B  C     A   B   C
    P0      0   1   0         7   5   3      3    3   2
    P1      2   0   0         3   2   2
    P2      3   0   2         9   0   2
    P3      2   1   1         2   2   2
    P4      0   0   2         4   3   3
    ```
    Using the Banker's algorithm, find:
    - What is the content of matrix need?
    - Whether the system is in a safe state?
16. Consider the following snapshot of a system:
    ```
          Allocation    Max       Available
          A   B  C      A   B  C    A   B   C
    P0  1   1   2       4   3   3     2   1   0
    P1  2   1   2       3   2   2
    P2  4   0   1       9   0   2
    ```
    What is the Worst Fit algorithm?
17. Consider the following snapshot of a system:
    ```
       Allocation   Max   Available
       A   B   C     A   B   C     A   B   C
    P0  0   2   0     7   5   3     Best fit,
    P3  0   1   2     11   2   3     on to a of KB (in of most 4 page memory
    P4  1   1   2
    ```
    Given the order, 212, have the
    - Best fit,
    - Worst fit, and
    - First fit algorithms been used?

[NOTE: may be some answers of the above question are not contain proper syllabus topics ]



(NOTE: EXPLORE AND ELOBURATE THIS QUESTIONS ACCORDING TO YOUR NEED)

1. What is a deadlock? Explain four necessary conditions for a deadlock to occur.

A deadlock is a situation in a computer system where two or more processes are unable to proceed because each is waiting for a resource that is held by another process in the set.

The four necessary conditions for a deadlock to occur are:

1. Mutual Exclusion: At least one resource must be held in a non-shareable mode, meaning only one process can use it at a time and others must wait until it is released.

2. Hold and Wait: A process must be holding at least one resource and waiting to acquire additional resources that are currently held by other processes.

3. No Preemption: Resources cannot be forcibly taken away from a process. They can only be released voluntarily by the process holding them.

4. Circular Wait: There must be a circular chain of two or more processes, where each process is waiting for a resource held by the next process in the chain.

2. Describe in brief deadlock prevention.

Deadlock prevention aims to eliminate one or more of the necessary conditions for deadlock. The key approaches for deadlock prevention are:

1. Mutual Exclusion Prevention: Allow resources to be shareable, enabling multiple processes to access them simultaneously. However, this is not always possible or desirable, especially for certain hardware resources.

2. Hold and Wait Prevention: Require processes to request and acquire all the necessary resources upfront before starting execution, eliminating the hold and wait condition. This approach can lead to resource underutilization and may not be feasible in all scenarios.

3. No Preemption Prevention: Allow preemption of resources held by processes. If a process requests a resource that is already allocated to another process, the resource can be forcibly taken away from the current holder. However, preemption can be complex to implement and may result in increased overhead.

4. Circular Wait Prevention: Impose a total ordering of resource types and require processes to request resources in a specific order, avoiding the formation of circular wait chains. This can be achieved by assigning a unique numeric identifier to each resource type and enforcing an ordering based on these identifiers.

3. Describe in brief deadlock detection & recovery.

Deadlock detection involves periodically examining the system to determine if a deadlock has occurred. If a deadlock is detected, recovery mechanisms can be employed to resolve it. The steps involved in deadlock detection and recovery are as follows:

1. Deadlock Detection: Utilize algorithms like the resource allocation graph or the banker's algorithm to check for the presence of a deadlock in the system. These algorithms analyze the resource allocation and request patterns of processes to identify circular wait chains or unsafe states.

2. Deadlock Recovery: Once a deadlock is detected, several strategies can be employed to recover from it. These strategies include:

   - Process Termination: Identify one or more processes involved in the deadlock and terminate them to release their held resources. This approach should be carefully implemented to ensure the termination does not lead to data corruption or inconsistency.

   - Resource Preemption: Preempt resources from one or more processes involved in the deadlock, allowing them to be reallocated to other waiting processes. The selection of processes and resources to preempt must be done judiciously to avoid starvation and ensure fairness.

   - Rollback: Rollback the state of one or more processes to a previously saved checkpoint, releasing their held resources. The process can then restart from the checkpoint, potentially avoiding the conditions that led to the deadlock.

   - Resource Manager Intervention: The resource manager (operating system or middleware) can intervene by forcibly breaking the deadlock using various strategies like resource preemption or termination.

4. What is a semaphore? What operations are performed on a semaphore?

A semaphore is a synchronization primitive used in concurrent programming to control access to shared resources. It is an integer variable that can be accessed atom

ically and supports two fundamental operations:

1. Wait (P) Operation: Also known as "down" or "acquire," the wait operation checks the value of the semaphore. If the value is positive, it decrements the value by one and continues. If the value is zero or negative, the process is blocked, waiting for the semaphore to become positive before proceeding.

2. Signal (V) Operation: Also known as "up" or "release," the signal operation increments the value of the semaphore by one. If there are blocked processes waiting on the semaphore, one of them is awakened and allowed to proceed.

The wait and signal operations on a semaphore ensure mutually exclusive access to resources and enable process synchronization in scenarios where multiple processes or threads are contending for shared resources.

5. What is a monitor? Write and explain the solution to the dining philosopher problem in brief using a monitor.

A monitor is a synchronization construct that provides a higher-level abstraction than semaphores for managing concurrent access to shared resources. It encapsulates both the data and procedures (methods) that operate on the data within a single module.

The solution to the dining philosopher problem using a monitor involves the following steps:

1. Define a monitor structure that represents the dining table and its associated resources. Each philosopher is represented as a separate monitor entry.

2. Define methods within the monitor to handle the actions of picking up forks (resources) and eating. These methods need to enforce mutual exclusion to prevent multiple philosophers from accessing the same fork simultaneously.

3. Implement the logic inside the methods to check if both adjacent forks are available. If not, the philosopher is blocked until the forks become available.

4. Use condition variables within the monitor to manage the synchronization between philosophers. A condition variable allows a process to wait until a certain condition is satisfied and provides signaling mechanisms to wake up waiting processes.

By using a monitor, the dining philosopher problem can be solved with built-in mutual exclusion and proper handling of synchronization using condition variables. This approach ensures that the philosophers can eat without encountering deadlocks or resource contention issues.

6. Differentiate between:

6.1 Critical section and critical region:

- Critical Section: A critical section is a specific section of code within a program where shared resources are accessed or manipulated. It is the part of the code that must be executed atomically to maintain consistency and avoid race conditions.

- Critical Region: A critical region is a section of code that surrounds a critical section. It includes the code required to enter and exit the critical section. The critical region ensures that only one process or thread can execute the critical section at a time.

In summary, the critical section refers to the code that operates on shared resources, while the critical region encompasses the code responsible for controlling access to the critical section.

6.2 Semaphore and monitor:

- Semaphore: A semaphore is a synchronization primitive that provides a generalized mechanism for process synchronization and mutual exclusion. It controls access to shared resources by allowing or blocking processes based on the value of the semaphore. Semaphores are typically used in low-level concurrency scenarios.

- Monitor: A monitor is a higher-level synchronization construct that encapsulates shared data and the procedures (methods) that operate on that data within a module. It ensures mutual exclusion and provides a more structured and abstracted approach to synchronization compared to semaphores. Monitors are typically used in high-level concurrency scenarios.

The main difference between semaphores and monitors is the level of abstraction and the associated mechanisms they provide for synchronization and resource management.

6.3 Deadlock prevention and deadlock avoidance:

- Deadlock Prevention: Deadlock prevention aims to eliminate one or more necessary conditions for deadlock to occur. It involves designing the system in such a way that deadlocks become impossible. This may include techniques like resource allocation control, ensuring a safe state, and

 avoiding circular wait.

- Deadlock Avoidance: Deadlock avoidance focuses on dynamically analyzing the resource allocation state to determine if a particular resource request can lead to a deadlock. It employs algorithms to predict the impact of resource allocation decisions and avoids resource requests that may potentially result in deadlocks. The banker's algorithm is an example of a deadlock avoidance algorithm.

The main distinction between deadlock prevention and deadlock avoidance is their approach. Prevention eliminates the conditions for deadlock upfront, while avoidance dynamically analyzes the system state to make decisions and avoid potential deadlocks.

7. Elaborate with a diagram on the concept of a Resource Allocation Graph.

A Resource Allocation Graph is a graphical representation of the resource allocation and resource request relationships among processes in a system. It helps visualize and analyze the resource allocation state to identify potential deadlocks. Here's an explanation of the Resource Allocation Graph with a diagram:

- In a Resource Allocation Graph, processes are represented by circles or nodes, and resources are represented by rectangles or squares.
- Directed edges represent resource requests, denoting the process that is requesting a resource.
- Directed arrows represent resource allocations, showing which process currently holds a particular resource.
- Each process node can have two types of edges:
   - Request Edge: It originates from a process and points towards a resource. It indicates that the process is requesting the resource.
   - Assignment Edge: It originates from a resource and points towards a process. It indicates that the resource is currently allocated to the process.

The Resource Allocation Graph provides a visual representation of the resource allocation state. By analyzing the graph, deadlocks can be identified based on the presence of circular wait chains, where a cycle of processes is waiting for resources held by other processes.

8. Explain various techniques used for deadlock recovery.


Deadlock recovery refers to the process of resolving a deadlock once it has been detected. There are several techniques that can be employed for deadlock recovery:


1. Process Termination: In this technique, one or more processes involved in the deadlock are selected and terminated. By releasing the resources held by these processes, other processes can continue their execution. However, this approach should be used with caution to ensure that data integrity and consistency are maintained.


2. Resource Preemption: Resources allocated to processes involved in the deadlock can be forcibly preempted. These resources are then reallocated to other waiting processes. The selection of processes and resources to preempt should be carefully determined to avoid starvation and ensure fairness.


3. Rollback: This technique involves rolling back the state of one or more processes to a previously saved checkpoint. By reverting to a known good state, the resources held by the rolled-back processes are released, allowing other processes to continue execution. However, this technique requires the system to have checkpointing and rollback mechanisms in place.


4. Killing of Entire Process Group: In certain cases, it may be necessary to terminate all the processes in a deadlock group simultaneously. This approach ensures that all resources held by the processes are released, resolving the deadlock. However, it should be used judiciously as it may have wider implications on system functionality.


5. Detection and Reversal: This technique involves detecting the presence of a deadlock, analyzing the resource allocation state, and reversing the allocation to break the circular wait. By carefully selecting the processes and resources to reverse, the deadlock can be resolved. This technique requires sophisticated algorithms and careful consideration of the system's state.


The choice of deadlock recovery technique depends on the specific system requirements, the criticality of processes, and the potential impact on data integrity and performance. It is essential to choose the most appropriate technique to ensure effective resolution of deadlocks while minimizing disruption to the system.


9. How are the wait/signal operations for a monitor different from those for semaphores?


In a monitor, the wait and signal operations have a different purpose and behavior compared to semaphores. Here are the differences:


Wait and Signal Operations in a Monitor:

- Wait: The wait operation in a monitor is used when a process needs to access a shared resource but finds it unavailable. The process enters a waiting state within the monitor and releases the monitor's lock, allowing other processes to execute. The process remains blocked until it is awakened by a signal operation.

- Signal: The signal operation in a monitor is used to wake up a waiting process. When a process finishes using a shared resource, it signals the monitor, which selects one of the waiting processes to be awakened and resumes execution. The awakened process then reacquires the monitor's lock and continues its execution.


Wait and Signal Operations on Semaphores:

- Wait (P): The wait operation in semaphores, also known as "down" or "acquire," decrements the semaphore's value. If the value becomes negative, the process is blocked and added to the semaphore's waiting queue. The process remains blocked until another process performs a signal operation to increment the semaphore's value.

- Signal (V): The signal operation in semaphores, also known as "up" or "release," increments the semaphore's value. If there are processes waiting on the semaphore, one of them is selected from the waiting queue and unblocked, allowing it to continue execution.


The main difference lies in the context and purpose of wait and signal operations. In a monitor, they are used for synchronization and mutual exclusion within a module, while in semaphores, they are used for general process synchronization and resource management in a broader system context.


10. List and explain various data structures used in the


 banker's algorithm.


The Banker's algorithm is a resource allocation and deadlock avoidance algorithm. It uses several data structures to manage and analyze the resource allocation state. Here are the main data structures used in the Banker's algorithm:


1. Available: It is a one-dimensional array that represents the number of available instances of each resource type. Each element of the array corresponds to the current number of available resources of a specific type.


2. Max: It is a two-dimensional matrix that specifies the maximum number of instances of each resource type that a process may need. Each row corresponds to a process, and each column corresponds to a resource type.


3. Allocation: It is a two-dimensional matrix that represents the number of instances of each resource type currently allocated to each process. Each row corresponds to a process, and each column corresponds to a resource type.


4. Need: It is a two-dimensional matrix that indicates the remaining resource need of each process to complete its execution. It is calculated by subtracting the allocation of resources from the maximum resource requirements of each process. Each row corresponds to a process, and each column corresponds to a resource type.


The Banker's algorithm utilizes these data structures to perform resource allocation checks and make decisions to avoid potential deadlocks. By analyzing the available resources, the maximum resource requirements, and the current allocation state, the algorithm determines if a particular resource request can be granted without resulting in a deadlock.


11. Explain the safe state and unsafe state of the system.


In the context of resource allocation and deadlock, the terms "safe state" and "unsafe state" describe the stability and potential for deadlock occurrence in a system.


Safe State: A system is said to be in a safe state if there exists a sequence of process execution that allows all processes to complete their execution without encountering a deadlock. In a safe state, the available resources are sufficient to satisfy the maximum resource needs of all processes, considering both the currently allocated resources and the resources that are yet to be allocated. The system can allocate resources to each process in a way that guarantees the absence of deadlocks.


Unsafe State: A system is said to be in an unsafe state if it is not in a safe state. In an unsafe state, the available resources are insufficient to satisfy the maximum resource needs of all processes, even if all currently allocated resources are released. If a resource request is made in an unsafe state, it may lead to a deadlock, where processes are indefinitely waiting for resources.


The goal of resource allocation and deadlock avoidance algorithms, such as the Banker's algorithm, is to ensure that the system remains in a safe state and avoids entering an unsafe state. By carefully managing resource allocation and evaluating the impact of resource requests, the system can maintain stability and prevent the occurrence of deadlocks.


12. Explain the Readers-Writers problem using semaphores.


The Readers-Writers problem is a classic synchronization problem that involves multiple readers and writers accessing a shared resource concurrently. The goal is to ensure that multiple readers can access the resource simultaneously while providing exclusive access to the resource for writers. Semaphores can be used to solve the Readers-Writers problem.


The solution to the Readers-Writers problem typically involves two semaphores and a counter variable:


- Semaphore mutex: This semaphore ensures mutual exclusion between readers and writers. It allows only one reader or writer to access the shared resource at a time.

- Semaphore wrt: This semaphore controls the access of writers. It is used to allow or block writers based on the presence of readers. When a writer wants to access the resource, it first checks if any readers are currently accessing it. If there are readers, the writer is blocked; otherwise, it gains exclusive access to the resource.


The counter variable is used to keep track of the number of active readers. It is incremented when a reader enters the critical section and decremented when a reader exits. 

Here is a high-level description of the solution using semaphores:


Reader Process:

1. Acquire the mutex semaphore to ensure mutual exclusion.

2. Increment the counter variable to indicate the presence of a reader.

3. If it is the first reader, acquire the wrt semaphore to block writers.

4. Release the mutex semaphore to allow other readers to access.

5. Read from the shared resource.

6. Acquire the mutex semaphore to update the counter variable.

7. Decrement the counter variable.

8. If it is the last reader, release the wrt semaphore to allow writers.

9. Release the mutex semaphore.


Writer Process:

1. Acquire the wrt semaphore to block access for writers when readers are present.

2. Write to the shared resource.

3. Release the wrt semaphore to allow other writers or readers to access.


By using the mutex semaphore and wrt semaphore, the solution ensures that readers can access the shared resource concurrently while providing exclusive access to writers when there are no readers present. This solution prevents data inconsistencies and ensures synchronization between readers and writers.

13. List the three requirements that must be satisfied by the critical section problem.


The critical section problem refers to the challenge of allowing multiple processes to share a common resource or section of code while ensuring mutual exclusion and preventing race conditions. To effectively solve the critical section problem, three requirements must be satisfied:


1. Mutual Exclusion: Only one process should be allowed to enter the critical section at a time. This means that while one process is executing its critical section, all other processes must be prevented from entering and executing their critical sections. Mutual exclusion ensures that conflicting operations or data access does not occur simultaneously, preventing race conditions and data inconsistencies.


2. Progress: If no process is currently executing its critical section and there are multiple processes attempting to enter, the selection of the next process to enter the critical section should not lead to indefinite postponement. In other words, if there is a process that wants to enter the critical section and no other process is currently executing it, the selection process should ensure that the waiting process eventually gets the opportunity to enter the critical section.


3. Bounded Waiting: There should be a limit on the number of times a process can be bypassed and prevented from entering the critical section. This requirement ensures that no process waits indefinitely to enter the critical section. By establishing a limit on the number of times a process can be bypassed, fairness and progress can be achieved in the execution of critical sections.


These three requirements—mutual exclusion, progress, and bounded waiting—are fundamental in solving the critical section problem and ensuring that concurrent processes can safely and efficiently share resources without conflicts or race conditions.


14. What is the difference between synchronization and mutual exclusion?


Synchronization and mutual exclusion are two key concepts in concurrent programming, but they serve different purposes:


Synchronization: Synchronization refers to the coordination of activities or the establishment of order between concurrent processes or threads. It ensures that processes or threads communicate, interact, and coordinate their actions in a desired and controlled manner. Synchronization mechanisms are used to prevent undesirable situations such as race conditions, deadlocks, and data inconsistencies. Examples of synchronization mechanisms include semaphores, monitors, and condition variables. Synchronization enables processes to cooperate and achieve a collective goal or avoid conflicts.


Mutual Exclusion: Mutual exclusion, on the other hand, is a specific synchronization requirement that ensures only one process or thread can access a shared resource or critical section at any given time. It prevents multiple processes from simultaneously modifying shared data or executing critical code sections that could lead to race conditions or data inconsistencies. Mutual exclusion is achieved by using synchronization primitives such as locks, mutexes, or semaphores with appropriate locking and unlocking mechanisms. By enforcing mutual exclusion, conflicts between processes accessing shared resources are avoided, and data integrity is preserved.


In summary, synchronization deals with coordinating the actions and interactions of processes or threads, while mutual exclusion focuses specifically on preventing simultaneous access to shared resources to maintain data consistency and avoid race conditions. Synchronization mechanisms are used to achieve mutual exclusion as well as other synchronization requirements.

15. What are various techniques used for deadlock detection? Consider the following snapshot of a system:

    Allocation       Max           Available

      A   B  C         A   B  C     A   B   C

P0    0   1   0         7   5   3      3    3   2

P1    2   0   0         3   2   2

P2    3   0   2         9   0   2

P3    2   1   1         2   2   2

P4    0   0   2         4   3   3


Using the Banker's algorithm, find:

- What is the content of matrix need?

- Whether the system is in a safe state?


Techniques Used for Deadlock Detection:


1. Resource Allocation Graph (RAG): The resource allocation graph is a graphical representation of the allocation and request of resources by processes. It consists of a set of vertices representing processes and resources, and edges representing resource allocation and resource requests. Deadlocks can be detected by analyzing the presence of cycles in the graph.


2. Deadlock Detection Algorithms: Various algorithms, such as the Banker's algorithm, can be used to detect deadlocks in a system. These algorithms analyze the resource allocation state, resource requests, and resource availability to identify if a deadlock is present. If a deadlock is detected, appropriate actions can be taken to resolve it.


3. Resource-Request Algorithm: This algorithm allows processes to request additional resources while maintaining deadlock detection and avoidance. It periodically checks if a resource request can be safely granted without resulting in a deadlock. If a request cannot be granted, it indicates a potential deadlock situation.


4. Banker's Algorithm: The Banker's algorithm is a deadlock detection and avoidance algorithm that uses resource allocation and request information to determine if a system is in a safe state. It analyzes the available resources, the maximum resource requirements, and the current allocation state to ensure that resources can be allocated to processes in a way that avoids deadlock.


Now, let's answer the specific questions related to the given system snapshot:


- The content of the matrix need can be calculated by subtracting the allocation matrix from the maximum matrix. The matrix need represents the remaining resource need of each process to complete its execution. For the given system snapshot, the matrix need is as follows:


      A   B   C

P0    7   4   3

P1    1   2   2

P2    6   0   0

P3    0   1   1

P4    4   3   1


- To determine whether the system is in a safe state, we can use the Banker's algorithm. By analyzing the resource allocation state and resource request information, we can check if the system can avoid deadlocks. Running the Banker's algorithm on the given system snapshot requires additional information, such as the resource request information. Without that information, we cannot determine the system's safe state conclusively.

16. Consider the following snapshot of a system:


  Allocation    Max       Available

  A   B  C      A   B  C    A   B   C

P0  1   1   2   4   3   3   2   1   0

P1  2   1   2   3   2   2

P2  4   0   1   9   0   2


What is the Worst Fit algorithm?


The Worst Fit algorithm is a memory allocation algorithm used in operating systems. It is a variation of the Best Fit algorithm and aims to allocate memory to a process by selecting the largest available block of memory that can accommodate the process's memory requirements.


In the context of the given system snapshot, the allocation and max matrices represent the current allocation and maximum memory requirements of the processes, respectively. The available matrix indicates the number of available memory blocks for each resource type (A, B, C).


To apply the Worst Fit algorithm, we examine each process's memory requirements and try to allocate the process to the largest available memory block that can accommodate it. If multiple memory blocks of the same size are available, the algorithm selects the one that is farthest from being fully utilized.


Using the Worst Fit algorithm on the given system snapshot, we would analyze the available memory blocks for each resource type and allocate processes accordingly. The exact allocation depends on the specific memory requirements of the processes and the availability of memory blocks.


It's important to note that the Worst Fit algorithm may not always result in optimal memory utilization or minimize fragmentation. However, it can be suitable in scenarios where larger memory blocks are preferred to accommodate larger processes or when the goal is to maximize the available memory for future allocations.

17. Consider the following snapshot of a system:


Allocation   Max   Available

A   B   C     A   B   C     A   B   C

P0  0   2   0     7   5   3     Best fit,

P3  0   1   2     11   2   3     on to a of KB (in of most 4 page memory

P4  1   1   2


Given the order, 212, have the Best Fit, Worst Fit, and First Fit algorithms been used?


In the given snapshot, the allocation, max, and available matrices represent the current allocation, maximum resource requirements, and available resources, respectively, for each process and resource type. We also have an order specified as 212.


To determine whether the Best Fit, Worst Fit, and First Fit algorithms have been used in this order, we need to analyze the allocation and available resources for each process and see if they align with the characteristics of these memory allocation algorithms.


Best Fit Algorithm: The Best Fit algorithm allocates a process to the smallest available memory block that can accommodate it. It aims to minimize memory wastage and fragmentation. Based on the given snapshot, we don't have information about the specific memory blocks allocated to each process, so we cannot determine if the Best Fit algorithm has been used.


Worst Fit Algorithm: The Worst Fit algorithm allocates a process to the largest available memory block that can accommodate it. It may result in more fragmentation but can be useful when larger memory blocks are preferred. Again, without specific information about the memory blocks allocated to each process, we cannot determine if the Worst Fit algorithm has been used.


First Fit Algorithm: The First Fit algorithm allocates a process to the first available memory block that can accommodate it. It scans the available memory blocks from the beginning and selects the first suitable block. Since we don't have information about the specific allocation details, we cannot determine if the First Fit algorithm has been used.


In summary, without explicit information about the allocation of memory blocks to processes, we cannot determine which specific memory allocation algorithms (Best Fit, Worst Fit, or First Fit) have been used in the given order 212.