Introduction to the Organization of Computer Systems Suppose a computer using fully associative cache has 224 bytes of byte- addressable main memory and a cache of 128 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 and offset fields? c) To which cache block will the memory address 0x01D872 map?
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Memory Organization
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- If a microprocessor has a cycle time of 0.5 nanoseconds, what’s the processor clock rate? If the fetch cycle is 40% of the processor cycle time, what memory access speed is required to implement load operations with zero wait states and load operations with two wait states?Suppose a computer using fully associative cache has 216 bytes of byte-addressable main memory and a cache of 64 blocks, where each cache block contains 32 bytes.Q.) What is the format of a memory address as seen by the cache; that is, what are the sizes of the tag and offset fields?1. Suppose a computer has 2³2 bytes of byte-addressable main memory and a cache size of 2¹5 bytes, and each cache block contains 64 bytes. a) How many blocks of main memory are there? (_ b) How many blocks of cache memory are there? (_ c) If this cache is direct-mapped, what is the format of a memory address as seen by the cache; that is, the size of the tag field_ the size of block field and the size of the offset field_ d) If this cache is fully associative, what is the format of a memory address as seen by the cache; that is, the size of the tag field_ and the size of the offset field e) If this cache is 4-way set associative, what is the format of a memory address as seen by the cache; that is, the size of the tag field_ the size of set field and the size of the offset field
- Suppose a computer using direct-mapped cache has 2 bytes of byte-addressable main memory and a cache of 32 blocks, where each cache block contains 16 bytes.Q.) What is the format of a memory address as seen by the cache; that is, what are the sizes of the tag, block, and offset fields?Suppose a byte-addressable computer using set-associative cache has 216 bytes of main memory and a cache of 32 blocks, and each cache block contains 8 bytes.Q.) 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 offset fields?Suppose a computer using fully associative cache has 220 words of main memory and a cache of 128 blocks, where each cache block contains 16 words. (a) How many blocks of main memory are there? (b) What is the format of a memory address as seen by the cache, that is, what are the sizes of the tag and word fields? (c) To which cache block will the memory reference 01D872_{16} map?
- Suppose a computer using fully associative cache has 224 bytes of byte-addressable main memory and a cache of 128 blocks, where each block contains 64 bytes.Q.) What is the format of a memory address as seen by cache; that is, what are the sizes of the tag and offset fields?2. Suppose a computer using direct-mapped cache has 232 bytes of byte-addressable main memory and a cache of 1024 blocks, where each cache block contains 32 bytes. a) How many blocks of main memory are there? b) what is the format of a memory address as seen by the cache; that is, what are the sizes of the tag, block, and offset fields? c) To which cache block will the memory adress 0x000063FA map?Suppose a computer using direct-mapped cache has 232 bytes of byte-addressable main memory and a cache size of 512 bytes, and each cache block contains 64 bytes.Q.) What is the format of a memory address as seen by cache; that is, what are the sizes of the tag, block, and offset fields?
- 3. Suppose a computer using direct mapped cache has 2^32 byte of byte-addressable main memory and a cache of 1024 bytes, where each block contains 64 bytes. a) How many blocks of main memory are there? b) How many blocks of cache are there? c) 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? d) To which cache block will the memory address 0x23B6689A map?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 of 32 bits has a cache memory of 64 KB with a cache line size of 64 bytes. The cache access time is 20 ns, and the miss penalty is 120 ns. The cache is 2-way associative. a) What is the number of cache lines? b) What is the number of cache sets? c) What is the number of lines per set? d) Draw a scheme of this cache. e) Calculate the time to read a word in case of miss.