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Suppose a direct-mapped cache uses a 32K L1 memory and a 256K L2 memory. How many of the L2 address bits will L1 use as tag bits?
Step by step
Solved in 2 steps
- Suppose direct-mapped cache has 64KB data and oneword blocks. How many total bits does it contain?(32-bit memory address)For a direct-mapped cache design with a 32-bit address, the following bits of the address are used to access the cache: Tag Index Offset 31-10 9-6 5-0 1. What is the cache block size (in words)? 2. How many entries does the cache have? 3. What is the ratio between total bits required for such a cache implementation over the data storage bits?Consider a 4-way set associative cache made up of 64-bit words. The number of words per line is 8 and the number of sets 4096 sets. What is the cache size? a) 1 MB b) 10 MB c) 4 MB d) 512 MB
- Imagine the difference between a fully associative cache and a directly mapped cache.For a 16-word cache, consider the following repeating sequence of lw addresses (given in hexadecimal below): 00 04 18 1C 40 48 4C 70 74 80 84 7C A0 A4Consider a direct-mapped cache memory with 12-bit addresses. The cache is byte-addressable. We have B = 16 bytes per block and S = 8 sets. For the address shown below. Indicate which bits correspond to the cache set index, tag bits, and block offset. Bit 11 Bit 10 Bit 9 Bit 8 Bit 7 Bit 6 Bit 5 Bit 4 Bit 3 Bit 2 Bit 1 Bit 0
- 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?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?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?
- The difference between a fully associative cache and a directly mapped cache is worth considering.Assume a cache system has been designed such that cach block contains 4 words and the cache has 1024 lines, the cache can store up 10 1024 blocks. What line of the cache is supposed 10 hold the block that contains the word from the twenty-bit address JA456:? In addition, what is the tag number that will be stored with the block?How many total bits are required for a direct-mapped cache with 24 KiB of data and 2-word blocks,assuming a 32-bit address? Moreover, compare the size of data and cache.