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- ) Consider the following sequence of virtual memory references (in decimal) generatedby a single program in a pure paging system:100, 110, 1400, 1700, 703, 3090, 1850, 2405, 2460, 4304, 4580, 3640a. Derive the corresponding reference string of pages (i.e. the pages the virtual addressesare located on), assuming a page size of 1024 bytes. (Assume that page numberingstarts at 0)b. For the page sequence derived above, determine the number of page faults for each ofthe following page replacement strategies, assuming that two (2) page frames areavailable to the program.i. LRUii. FIFOiii. OPT (Optimal)Let's pretend for a moment that we have a byte-addressable computer with fully associative mapping, 16-bit main memory addresses, and 32 blocks of cache memory. The following holds true if each block is 16 bits in size:a) Determine how many bytes the offset field is.Measure the tag field's width and height in pixels (b).Consider a processor that uses a 48-bit virtual memory address. The main memory installed onthe system is 4GB. Page size is set to be 32KB. Determine the following:I. Address space of virtual memory and physical memory. II. Total Number of virtual pages and the total physical pagesIII. How many bits are necessary to store (i) Page Table entry and (ii) TLB entry, consideringthe TLB entry stores valid, reference and dirty bits.IV. What is the size of the page table? And how many pages of memory is needed to storethe entire Page table? What fraction of physical memory is needed to store the entirepage table?
- CA_10 Let the virtual address be V bits and the virtual addtess space be byte-addressable, the page size be P KB (and P is a power of 2), and the the main memory size be MM MB(where [MM MB]) is divide into [P KB]). (d)How many of the virtual memory bits need to be translated? (e) How many bits will be produced if the virtual-to-pyysical address translation is "successful" (f) How many bits does a physical address have, and how are each of these bits obtained?Answer only 3 and 4 Suppose memory has 256KB, OS use low address 20KB, there is one program sequence: (20) • Prog1 request 80KB, prog2 request 16KB, • Prog3 request 140KB • Prog1 finish, Prog3 finish; • Prog4 request 80KB, Prog5 request 120kb • Use first match and best match to deal with this sequence • (from high address when allocated) • (1)Draw allocation state when prog1,2,3 are loaded into memory? • (2)Draw allocation state when prog1, 3 finish? • (3)use these two algorithms to draw the structure of free queue after prog1 , 3 finish(draw the allocation descriptor information,) • (4) Which algorithm is suitable for this sequence ? Describe the allocation process?Question Show how the following values would be stored bybyte-addressable machines with 32- bit words, using little endianand then big endian format. Assume each value starts at address301816. Draw a diagram of memory for each, placing the appropriatevalues in the correct (and labeled) memory locations. a. 56789ABC16 b. 2014111910 The memory unit of a computer has256K words of 32 bits each. The computer has an instruction formatwith 4 fields: an opcode field; a mode field to specify 1 of 7addressing modes; a register address field to specify one of 16registers; and a memory address field. Assume an instruction is 32bits long. Answer the following: a. How large must the mode field be? b. How large must the register field be? c. How large must theaddress field be? d. How large is the opcode field? 4. In a computerinstruction format, the instruction length is 12 bits and the sizeof an address field is 4 bits. Is it possible to have: 13 2-address instructions 45 1-address instructions…
- In a main memory-disk virtual storage system, the page size is 1KByte and the OPTIMAL algorithm is used for page replacements. A given program has been allocated three page frames in the main memory and it makes the following 16 memory references when it starts executing (the addresses are given in decimal):500, 2000, 2500, 800, 4000, 1000, 5500, 1500, 2800, 400, 5000, 700, 2100, 3500, 900, 2400 Fill in the contents of the three page frames after each memory reference in a table and calculate the hit ratio. Hint: denote by 'a' the page consisting of locations 0 through 1023 in memory. Similarly, b: 1024-2047, c: 2048-3071, d: 3072-4095, e: 4096-5119 and f: 5120-6143. Round to three decimal places.In this problem, you will explore processor frequency in the context of the speed of light.Suppose you have overclocked a processor to 8,722.78MHz. This processor can execute one instruction per cycle. Further let us suppose that the system is accessing a magnetic disk (HD) with an access time of 11ms. 1. Suppose that you are designing the machine architecture and want to guarantee the CPU can obtain data from memory within 4 CPU cycles. Given that the address has to travel from the CPU to the memory unit (MMU) and that the data has to travel from memory to the CPU, what is the maximum distance between CPU and the MMU if the signal on the memory bus propagates at 75% of the speed of light?Suppose we have a system with the following properties:The memory is byte addressable.Memory accesses are to 1-byte words (not to 4-byte words).Addresses are 13 bits wide.The cache is 4-way set associative (E = 4), with a 4-byte block size(B = 4) and eight sets (S = 8).Consider the following cache state. All addresses, tags, and valuesare given in hexadecimal format. The Index column contains the set index for each set of four lines. The Tag columns contain the tag value for each line. The V columns contain the valid bit for each line. The Bytes 0−3 columns contain the data for each line, numbered left to right starting with byte 0 on the left. A. What is the size (C) of this cache in bytes?B. The box that follows shows the format of an address (1 bit perbox). Indicate (by labeling the diagram) the fields that would beused to determine the following:CO. The cache block offsetCI. The cache set indexCT. The cache tag
- A cache memory has a line size of eight 64-bit words and a capacity of 4K words. The main memory size that is cacheable is 1024 Mbits. Assuming 4-way set associative mapping and that the addressing is done at the byte level. What is the format of the main memory addresses (i.e s-d, d, and w)? For the hexadecimal main memory location 2BFACEDH, find the corresponding 4-way set-associative memory formatI ONLY NEED 3 AND 4 Suppose memory has 256KB, OS use low address 20KB, there is one program sequence: Prog1 request 80KB, prog2 request 16KB, Prog3 request 140KB Prog1 finish, Prog3 finish; Prog4 request 80KB, Prog5 request 120kb Use first match and best match to deal with this sequence (from high address when allocated) (1)Draw allocation state when prog1,2,3 are loaded into memory? (2)Draw allocation state when prog1, 3 finish? (3)use these two algorithms to draw the structure of free queue after prog1 , 3 finish (4) Which algorithm is suitable for this sequence ? Describe the allocation process?Suppose we have a system with the following properties:The memory is byte addressable.Memory accesses are to 1-byte words (not to 4-byte words).Addresses are 12 bits wide.The cache is two-way set associative (E = 2), with a 4-byte blocksize (B = 4) and four sets (S = 4).