PLEASE SHOW A MIPS SIMULATION

All present$-$day operating systems are equipped with the capability to allocate memory to users dynamically $($at run time$).$ This feature allows multiple user programs to coexist in the main memory and run virtually at the same time by sharing system resources like CPU, memory, etc. In this assignment, you are required to design and implement in MIPS a project for dynamic allocation and deallocation of memory on user demand. However, you can make the following simplifying assumptions:

The memory pool is limited to $4096$ bytes

The memory pool divided into equal chunks of $32$ bytes $($chosen due to MIPS architecture$).$ Thus, the $4096$ bytes memory will be divided into $128$ chunks.

Despite allocation requests coming in any size, the actual allocations should be performed in integer multiples of chunks. Therefore, the byte size request will be rounded up to the closest multiple of $32.$

To succeed in this task, the code must allocate and deallocate memory upon request. If some of the requests cannot be handled, exception handling must be activated to resolve the issue.