QUESTION 2 Suppose a computer using direct mapped cache is using 216 (64K) bytes of byte-addressable main memory, and a cache size of 4096 bytes, where each cache block contains 256 bytes. a) How many blocks of main memory are there? b) What is the format of a memory address as seen by cache, i.e. what are the length of the tag, block, and offset fields? c) Given memory address 2B9D (in hexadecimal format), which block in the cache will be searched? (What is that block's id?)
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- Computer Science Consider a direct-mapped cache with 8 lines, each holding 16 bytes of data. The cache is byte-addressable and the main memory consists of 64 KB, which is also byte-addressable. Assume that a program reads 16KB of memory sequentially. Answer the following questions:a) How many bits are required for the tag, index, and offset fields of a cache address?b) What is the cache size in bytes?c) What is the block size in bytes?d) What is the total number of blocks in main memory?e) How many cache hits and misses will occur for the program, assuming that the cache is initially empty?f) What is the hit ratio?g) Give an example virtual address (in BINARY) that will be placed in cache line 5.A computer is using a fully associative cache and has 216 bytes of main memory (byte addressable) and a cache of 64 blocks, where each block contains 32 bytes. a. How many blocks of main memory are there? b. What will be the sizes of the tag, index, and byte offset fields? c. To which cache set will the memory address 0xF8C9(hexadecimal) map?Show work and type answer please. Suppose a computer using fully associate cache has 2G Bytes of main memory and a cache of 256 Blocks, where each cache Block has 8 Words, and the Word Size is 2 Bytes. a. How many blocks of main memory? b. What is the format of a memory address as seen by the cache? c. To which cache block will the memory reference 00001C4A in Hex?
- A computer using a direct mapped cache has 220 Bytes of memory (byte addressable) and a cache of 32 blocks, each block contains 16 Bytes. a. How many blocks of main memory are there? b. What will be the sizes of the tag, index, and byte offset fields? c. To which cache set will the memory address 0x0DB63 map?Assume that we have a computer with a cache memory of 512 blocks with a total size of 128K bits. Knowing that the computer uses a word addressable mode and the format of the memory address as seen by the Fully associative cache scheme is as shown below, answer the below questions: Fully Associative Cache Format 19 5 1- How many words do we have in each cache block? 2- What is the size of each word? 3- What is the size of the main memory? 4- How many blocks are there in the main memory? 5- Draw the format of the memory address as seen by the Direct Mapped Cache scheme, showing the fields as well as their sizes.Suppose a computer using direct mapped cache has 2^32 bytes of byte-addressable main memory, and a cache size of 512 bytes, and each cache block contains 64 bytes. a) how many blocks of main memory are there? b) what is the format of a memory address as seen by cache, i.e., what are the sizes of the tag, block, and offset fields? c) to which cache block will the memory address 13A4498A map?
- Suppose a computer using direct mapped cache has 4M byte of byte-addressable main memory, and a cache of 512 blocks, where each cache block contains 64 bytes. a) How many blocks of main memory are there? b) What is the format of a memory address as seen by the cache, i.e., what are the sizes of the tag, block, and offset fields? c) To which cache block will the memory address 0x00007266 map?Suppose a computer using fully associative cache has 4G bytes of byte-addressable main memory and a cache of 512 blocks, where each cache block contains 128 bytes. a) How many blocks of main memory are there? b) What is the format of a memory address as seen by the cache, i.e., what are the sizes of the tag and offset fields? c) To which cache block will the memory address 0x018072 map?Memory Hierarchy and Cache Suppose that we have a computer that uses a memory address of 12-bits. This computer has a 64-byte cache with 16 bytes per frame. The computer accesses a number of memory locations throughout the course of a running program. Suppose this computer uses direct-mapped cache. The system accesses the following memory addresses (given in hex) in this exact order: F2E, A17, 2E0, 44E, 34F, 341, B50, B58 a. What is the hit ratio for the memory reference sequence given above? b. Show the content of each cache frame following each memory reference (frame content to be shown as tag +frame index) c.If we keep the same cache size and the same frame size but switch to a 2-way set associative cache mapping scheme. Given the memory address reference 555, indicate where we would look in the cache to find this data. Indicate which fields will be used to find the exact location?
- Assume that we have a computer with a cache memory of 512blocks with a total size of 128K bits. Knowing that the computer uses a word addressable mode and the format of the memory address as seen by the Fully associative cache scheme is as shown below, answer the below questions: Fully Associative Cache Format 1- How many words do we have in each cache block? 2- What is the size of each word? 3- What is the size of the main memory? 4- How many blocks are there in the main memory? 5- Draw the format of the memory address as seen by the Direct Mapped Cache scheme, showing the fields as well as their sizes.We have a 8-lines of L1 data cache. Let us assume each line has 256 bits and memory addresses have 16 bits of width, with byte-addressable memory. Indexing the cache is implemented by lowest-order bits. a) Determine the number of tag, index and offset bits. b) Which types of bits does the cache tags contain? c) What is the total number of bits necessary to apply the level 1 data cache? d) Let us assume the processor accesses data addresses below when cache is initially empty. Show the hits and misses in the level 1 data cache 0x0039: 0000 0000 0011 1001 0x103B: 0001 0000 0011 1011 0x954C: 1001 0101 0100 1100 0xFFF5: 1111 1111 1111 0101 0xBEEF: 1011 1110 1110 1111 0x4360: 0100 0011 0110 0000 0x02DF: 0000 0010 1101 1111 0x8065: 1000 0000 0110 0101 0x9528: 1001 0101 0100 1000 e)Let us assume that the level 1 data cache has a hit rate of 30% on your application, an access time of a single cycle, and a miss penalty to memory will be of…Assume we have a computer with 512 blocks of cache memory with a total capacity of 128K bits. Answer the following questions knowing that the computer operates in a word addressable mode and that the format of the memory address as perceived by the Fully associative cache scheme is as shown below: Cache Format with Full Associativity 19 5 1- How many words are in each cache block? 2- How big are the letters in each word? 3- How large is the primary memory? 4- What is the total number of blocks in main memory? 5- Draw the memory address format as observed by the Direct Mapped Cache technique, including the fields and their sizes.