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- Consider a 128-word L2 memory and a 16-word direct mapped L1 cache.a. How many bits are in the address of the L2 memory?b. How many index bits are in the L1 address?c. How many tag bits are in the L1 address?d. How many words from the L2 memory will map to the same word in L1?Suppose a computer using direct mapped cache has 4G Bytes of main memory and a cache of 256 Blocks, where each cache Block has 16 Words, and Word Size is 4 Bytes. a)How many blocks of main memory? b)What is the format of a memory address as seen by the cache (Tag, Block and Word fields)? c)To which cache block will the memory reference 0000146A in Hex?Find the total bits required for given data size and calculate overhead in percentage: - How many total bits are required for a direct-mapped cache with 8KB of data and 4-word blocks, assuming a 32-bit address?
- A computer using direct mapping cache has 256Mbytes of byte addressable main memory and cache size of 32k lines and each cache block contain 8 bytes. How many blocks of main memory are there?What are the size of the tag, line number and words?To which cache block will the memory address 13ADEF9H map?To which line number will the memory address 17FEAD8H map?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?Suppose we have a byte-addressable computer using direct mapping with 16-bit main memory addresses and 32 blocks of cache. If each block contains 16 bytes. a. Determine the number of bits of the offset field. b. Determine the number of bits of the block (or slot) field. c. Determine the number of bits of the tag field. d. To which cache block would the hexadecimal address 0x2468 map? e. What is the tag of the hexadecimal address 0x2468 f.To which cache block would the hexadecimal address 0x864A map? g. What is the tag of the hexadecimal address 0x864A?
- 1. For a direct-mapped cache design with a 32-bit address, the following bits of address are used to access the cache. Tag Index Offset 31-14 13-7 6-0 a. What is the cache block size (in words)? b. How many entries does this cache have? c. What is the ratio between total bits required for such a cache implementation over the data storage bits?Suppose a computer using set associative cache has 221 words of main memory and a cache of 64 blocks, where each cache block contains 4 words. a)If this cache is 2-way set associative, what is the format of a memory address as seen by the cache, that is, what are the sizes of the tag, set, and word fields? b)If this cache is 4-way set associative, what is the format of a memory address as seen by the cache?How many total bytes would be necessary for a 4-way set associative cache with 64 KBytes of data and one word blocks, assuming a 32-bit addressing used?. A 96 KBytes B 106 KBytes C 105 KBytes D 102 KBytes E 100 KBytes F 109 KBytes
- 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?Suppose we have a byte-addressable computer using direct mapping with 16-bit main memory addresses and 32 blocks of cache. If each block contains 8 bytes. a. Determine the number of bits of the tag field. b. To which cache block would the hexadecimal address 0x2468 map? c. What is the tag of the hexadecimal address 0x2468
