This homework assignment delves into the core concepts of operating systems, specifically focusing on memory management techniques. The solution addresses a problem involving virtual memory, page replacement algorithms, and address translation. The first part of the assignment requires the student to analyze logical addresses, convert them to binary, determine page and offset values, and trace the access to memory locations, identifying page faults and the values retrieved. The second part involves filling a table based on a given reference string and applying the PFF (Page Fault Frequency) page replacement algorithm with a time threshold (τ = 2). The student must track the resident set, identify page-ins and page-outs, and determine the number of page faults. Finally, the assignment concludes by asking the student to derive a reference string from the logical addresses presented in the initial problem.