Homework 5 - Fall-2023

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?

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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?

For 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)

Consider that we have a direct-mapped cache that uses 64-bit addresses. If each word/ block is 128 bits and there are 32K lines in the cache: (a) (3) What is the total capacity of this cache? (b) (5) How many bits are used for the tag, index, and word/block offset bits in this address?

Assume your 32-bit computer (memory address 32-bits) has 16-KB (only L1-data) direct mapped cache. If the cache line size is 64-Bytes how many bits will be used for tag, index and offset? If a memory address is 0x00222222, what will be the tag, index and offset for this address (in binary, hex, decimal)? What will be the total size of cache including tag and V-bit?

Asap please

Given that a 4-way set associative cache memory has 64 KB data and each block contains 32 bytes. The main memory capacity is 4 GB. a. Find the number of bits for the main memory address. ANSWER: b. How many blocks are there in a set? ANSWER: c. How many sets the cache has? ANSWER: d. The main memory address format is => | Tag: bits | blocks sets bits | Set: e. Which set will be mapped by the main memory address 458195h. ANSWER: decimal) bits bits | Word: (in

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?

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.

Answer part d only

5.b

Give me correct solution please.

Question 6 The IEEE Standard 754 representation of a floating point number is given as: 01101110110011010100000000000000. Determine the binary value represented by this number. a) A cache system is to be designed to store data from a 1 GB memory space. If each block of main memory contains 16 words, determine the number of blocks that are needed and draw the logical organization of the full address identifying the block ID portion and the word (offset) portion. b) c) Discuss the advantages of using glass substrate over aluminum substrate in the construction of the hard drive.

For a direct-mapped cache design with a 32-bit address, the following bits of the address are used to access the cache. We assume that each word has 4 bytes.   How many words of data are included in one cache line?

For a direct-mapped cache design with a 32-bit address, the following bits of the address are used to access the cache. a. What is the cache block size in words? b. How many entries does the cache have? Tag 31-13 Index 12-6 Offset 5-0

For a direct-mapped cache design with 32-bit addresses and 32-bit words (data and instructions). the following bits of the address are used to access the cache: Tag = [31:17], Index = [16:5], Offset = [4:0]. a.) What is the cache block size in 32-bit words. b.) How many blocks does the cache have? c.) What is the size of the cache in kilobytes?

5. 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 ; that is, what are the size of the tag and offset field. c) To which cache block will the memory address 0x01D872 map?

Consider a cache with 32KİB data, 16-word blocks, and 24-bit addresses, answer the following questions: a) For the direct-mapped configuration, determine the number of index bits and tag bits in the 24-bit address. b) For 4-way set associative configuration, determine the number of index bits and tag bits in the 24-bit address. c) For fully associative contiguration, determine the number of index bits and tag bits in the 24-bit address. d) For an 8-way set associative configuration, identify the set number in the cache to which the following 24-bit memory address maps: Ox001Z00 (Hexadecimal notation) where Z is the least significant digit in your student ID (written as a decimal number)

Assume you have a 8-way set associative cache having 16K lines each having capacity of 8 Bytes. A Byte addressable main memory uses 32 bit physical address. The cache has a hit ratio of 90% and is initially empty. (a) How many data Bytes are brought into the cache with physical address FAB12389 (in hex)  (b) Which set does the data that is brought in go to if the physical address FAB12389 (in hex) is supplied to the cache?