Consider a system with byte-addressable memory, 32-bit logical addresses, 4 kilobyte page size and page table entries of 4 bytes each. The size of the page table in the system in megabytes is ________.

A system uses $$3$$ page frames for storing process pages in main memory. It uses the Least Recently Used $$(LRU)$$ page replacement policy. Assume that all the page frames are initially empty. What is the total number of page faults that will occur while processing the page reference string given below? $$$4,7,6,1,7,6,1,2,7,2$$$

A system uses FIFO policy for page replacement. It has $$4$$ pages frames with no pages loaded to begin with. The system first accesses $$100$$ distinct pages in some order and then accesses the same $$100$$ pages but now in the reverse order. How many page faults will occur?

How many $$32K\,\, \times \,\,1RAM$$ chips are needed to provide a memory capacity of $$256$$ $$K$$-bytes?