(i) To derive the Need Matrix, we subtract the Allocation Matrix from the Max Matrix. The Need Matrix represents the remaining resources that each process needs to complete its execution.

The Need Matrix is as follows:
P-id A B C D
P1 0 4 2 0
P2 0 4 1 3
P3 0 0 2 1
P4 0 4 3 0

(ii) To determine if the system is in a safe state, we can use the Banker's Algorithm. The Banker's Algorithm checks if there is a safe sequence of processes that can complete their execution without causing a deadlock.

To check if the system is in a safe state, we can use the following steps:
1. Initialize the Work vector with the Available resources.
2. Create a Finish vector to track the completion status of each process. Initialize all values to false.
3. Find a process that satisfies the condition: Need[i]

Question

(i) To derive the Need Matrix, we subtract the Allocation Matrix from the Max Matrix. The Need Matrix represents the remaining resources that each process needs to complete its execution.

The Need Matrix is as follows:
P-id   A   B   C   D
P1     0   4   2   0
P2     0   4   1   3
P3     0   0   2   1
P4     0   4   3   0

(ii) To determine if the system is in a safe state, we can use the Banker's Algorithm. The Banker's Algorithm checks if there is a safe sequence of processes that can complete their execution without causing a deadlock.

To check if the system is in a safe state, we can use the following steps:
1. Initialize the Work vector with the Available resources.
2. Create a Finish vector to track the completion status of each process. Initialize all values to false.
3. Find a process that satisfies the condition: Need[i] <= Work, where i is the process number.
4. If such a process is found, allocate its resources to the Work vector and mark the process as finished.
5. Repeat steps 3 and 4 until all processes are marked as finished or no process satisfies the condition.
6. If all processes are marked as finished, the system is in a safe state. Otherwise, it is not.

By applying the Banker's Algorithm to the given snapshot, we can determine if the system is in a safe state.

(iii) A request from process P1 arrives for (0, 4, 2, 0). To check if this request can be granted immediately, we need to compare the request with the Need and Available matrices.

Comparing the request (0, 4, 2, 0) with the Need matrix for process P1 (0, 4, 2, 0), we can see that the request is less than or equal to the remaining need for each resource.

Next, we compare the request with the Available matrix (2, 1, 5, 2). We can see that the request is less than or equal to the available resources for each resource.

Therefore, the request from process P1 can be granted immediately.

Knowee AI · Accepted Answer