The following page table is for a system with 16-bit virtual and physical addresses and with 4,096-byte pages. The reference bit is set to 1 when the page has been referenced. Periodically, a thread zeroes out all values of the reference bit. A dash for a page frame indicates the page is not in memory. The pagereplacement algorithm is localized LRU, and all numbers are provided in decimal. Page Page Frame Reference Bit 0 7 0 1 0 2 14 0 3 13 0 4 15 0 5 8 0 6 0 7 0 0 8 4 0 9 5 0 10 0 11 0 12 2 0 13 3 0 14 1 0 15 9 0 a. Convert the following virtual addresses (in hexadecimal) to the equivalent physical addresses. You may provide answers in either hexadecimal or decimal. Also set the reference bit for the appropriate entry in the page table. 0xA15C 0x8A9D 0xAEE8 0xE012 0x6CA1 b. Using the above addresses as a guide, provide an example of a logical address (in hexadecimal) that results in a page fault. c. From what set of page frames will the LRU page-replacement algorithm choose in resolving a page fault?