Q1) Given a memory of 16k and a cache memory of 1024 bytes with block size 128 bytes. The system uses Direct mapping. A- How many blocks available in both physical memory and cache memory B- How the address will be split to indicate tag, line (block no) and offset C- Calculate the cache line number and offset in cache that will contain the content of memory address 230.
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Q1) Given a memory of 16k and a cache memory of 1024 bytes with block size 128 bytes. The
system uses Direct mapping.
A- How many blocks available in both physical memory and cache memory
B- How the address will be split to indicate tag, line (block no) and offset
C- Calculate the cache line number and offset in cache that will contain the content of
memory address 230.
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- A direct-mapped cache consists of 8 blocks. A byte-addressable main memory contains 4K blocks of eight bytes each. Access time for the cache is 20 ns and the time required to fill a cache slot from main memory is 300 ns. Assume a request is always started in sequential to cache and then to main memory. If a block is missing from cache, the entire block is brought into the cache and the access is restarted. Initially, the cache is empty. c) Compute the effective access time for this program. Show me how to solve using this equation: EAT = H x AccessC + (1 – H) x AccessMM where H is the cache hit rate and AccessC and AccessMM are the access times for cache and main memory, respectively. thanks3. The series of memory address references given as word addresses are 122, 126, 126, 126, 116, 300, 116, and 118. Assume a direct-mapped cache with eight one-word blocks that is initially empty. Label each reference in the list as a hit or miss and show the contents of the cache with figure after each reference.A direct-mapped cache consists of 16 blocks. A byte-addressable main memory contains 4K blocks of 16 bytes each. Access time for the cache is 30 ns and the time required to fill a cache slot from main memory is 250 ns. Assume a request is always started in sequential to cache and then to main memory. If a block is missing from cache, the entire block is brought into the cache and the access is restarted. Initially, the cache is empty. a) Show the main memory address format that allows us to map addresses from main memory to cache. Be sure to include the fields as well as their sizes. b) Compute the hit ratio for a program that loops 4 times from locations 0 to 42 (base 10) in memory. c) Compute the effective access time for this program.
- 2. For a direct-mapped cache with a 32-bit address, the following bits of the address are used to access the cache. Tag 31-10 Hex Dec 0 a) What is the cache block size (in words)? b) How many entries does the cache have? c) What is the ratio between total bits required for such a cache implementation over the data storage bits? Beginning from power on, the following byte-addressed cache references are recorded 00 04 4 Byte Address Index 9-5 Binary Address d) For each reference, list (1) its tag, index, and offset, (2) whether it is a hit or a miss, and (3) which bytes were replaced (if any). e) What is the hit ratio? Address 10 84 E8 АО 400 IE 8C CIC B4 884 16 132 232 160 1024 30 140 3100 180 2180 Offset 4-0 Tag Index Offset Hit/Miss Bytes ReplacedFor a direct-mapped cache with 64KİB data, 8-word blocks, and 32-bit addresses, answer the following questions: a) What is the number of blocks/lines in the cache? b) Identify the bits in the 32-bit address that are used as index bits? c) Identify the bits in the 32-bit address that are used as tag bits? d) What is the total number of bits in this cache (including tag field and valid field)? e) Identify the block number in the cache to which the following 32-bit memory address maps: Ox00003Z00 (Hexadecimal notation) where Z is the least significant digit in your student ID (written as a decimal number)CO. A certain processor uses a fully associative cache of size 16 kB. The cache block size is 16 bytes. Assume that the main memory is byte addressable and uses a 32-bit address. How many bits are required for the Tag and the Index ticlds respectively in the addresses generated by the processor?
- Q: A digital computer has a memory unit of 64k * 16 and a cache memory of 1k words. The cache uses direct mapping with a block size of 4 words. i) How many bits are there in the tag, index, block & words fields of the address formats. ii) How many bits are there in each word of cache? iii) How many blocks can the cache accommodate?Q: A set-associative cache has a block size of 256 bytes and a set size of 2. The cache can accommodate 32 KB. . The size of main memory is 256 KB. Design the cache structure and show how the processor’s addresses are interpreted. Note: this question is related from coal subject.Q: A digital computer has a memory unit of 64k * 16 and a cache memory of 1k words. The cache uses direct mapping with a block size of 4 words. i) How many bits are there in the tag, index, block & words fields of the address formats.ii) How many bits are there in each word of cache? iii) How many blocks can the cache accommodate? Note: this question is related from computer architecture subject kindly solved this correctly and completly.
- For a direct-mapped cache design with 64-bit addresses, the following bits of the address are used to access the cache: Tag Index Offset 63-13 12-4 3-0 a. What is the cache block size (in bytes)?b. What is the cache size (in bytes)?c. What is the total number of bits (including valid bit, tag bits and data array bits) to implement this cache?d. For the same block and cache sizes, you want to implement a 4-way set-associative cache, what is the number of index bit and the number of tag bits?6. For a direct mapped cache comprising 16 single word blocks answer the following questions. Assume address and word sizes are both 32 bits and that the memory is byte addressed (4 bytes per 32-bit word). Enter answers as numbers only. How many index bits are there? How many offset bits are there? How many tag bits are there?Memory system includes the elements: Main Memory=16 Mbytes, Cache=128Kbytes, Block= 8bytes. A) Design a direct-mapped cache memory system. (Draw the block diagram of the cache and mention on the diagram the values of: s, s+w, w, r, s-r) B) For the main memory addresses: 7AF9CD H show the following information, in hexadecimal format: a. Tag, Line, and Word values for a direct-mapped cache. b. Tag and Word values for an associative cache. c. Tag, Set, and Word values for a 4-way set associative cache.