This problem studies the effect of changing page sizes in a demand paging system.The following sequence of requests for program words is taken from a 460-word program: 10, 11, 104, 170, 73, 309, 185, 245, 246, 434, 458, 364.Main memory can hold a total of 200 words for this program and the page frame size will match the size of the pages into which the program has been divided.Calculate the page numbers according to the page size, divide by the page size,and the quotient gives the page number. The number of page frames in memory is the total number, 200, divided by the page size. For example, in problem (a)the page size is 100, which means that requests 10 and 11 are on Page 0, and requests 104 and 170 are on Page 1. The number of page frames is two.a. Find the success frequency for the request list using a FIFO replacement algorithm and a page size of 100 words (there are two page frames).b. Find the success frequency for the request list using a FIFO replacement algorithm and a page size of 20 words (10 pages, 0 through 9).Find the success frequency for the request list using a FIFO replacementalgorithm and a page size of 200 words.d. What do your results indicate? Can you make any general statements aboutwhat happens when page sizes are halved or doubled?e. Are there any overriding advantages in using smaller pages? What are theoffsetting factors? Remember that transferring 200 words of informationtakes less than twice as long as transferring 100 words because of the waysecondary storage devices operate (the transfer rate is higher than the access[search/find] rate).f. Repeat (a) through (c) above, using a main memory of 400 words. The sizeof each page frame will again correspond to the size of the page.g. What happened when more memory was given to the program? Can youmake some general statements about this occurrence? What changes mightyou expect to see if the request list was much longer, as it would be in reallife?h. Could this request list happen during the execution of a real program?Explain.i. Would you expect the success rate of an actual program under similarconditions to be higher or lower than the one in this problem?
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