Suppose a computer using direct mapped cache has 2^32 bytes of byte-addressable main memory, and a cache size of 512 bytes, and 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 cache, i.e., what are the sizes of the tag, block, and offset fields? c) to which cache block will the memory address 13A4498A map?

Fill in blank Suppose that linear page table is used where the memory addresses are 12-bit binary numbers and the page size is 256 bytes. If a virtual address in binary format is 101000011100, then the VPN (virtual page number) in binary format will be ---------

3. Caching In this question, let's assume that we have a 16-bit system with a single level 6-way set associative cache with 8 sets, and a cache block size of 64 bytes. How many bits are needed for the setID and the tags? Draw the breakdown of the tag/index/byte- in-block bits. What is the total size of this cache? For the following program, assume that an integer is 4 bytes. int i; // Assume these variables are stored in the registers. int a[65536]; // Assume that a = 0x1000 int b[65536]; // Assume that b = 0x8000000 for (i=0; i<1024; i++) a[i* 8 ] = i; for (i=0; i<1024; i++) b[i * 8 ] = a[i * 8 ]++; Let's asssume that the array is initialized to zero and that the variable i is already stored on the register. What is my cache hit rate? Show your work.

1. Caches are important to providing a high-performance memory hierarchy to processors. Below is a list of 32-bit memory address references, given as word addresses. 42, 137, 66, 50, 38, 225, 173, 22, 19, 88, 51, 43 a. For each of these references, identify the binary address, the tag, and the index given a direct mapped cache with 16 one-word blocks. Also list if each reference is a hit or a miss, assuming the cache is initially empty. b. For each of these references, identify the binary address, the tag, and the index given a direct mapped cache with two-word blocks and a total size of 8 blocks. Also list if each reference is a hit or a miss, assuming the cache is initially empty. Please explain the process.

Assume a cache of 1 MB organized as 32 bytes each line. The main memory is 256 MB. a. Determine the number of blocks in main memory b. Determine how to split the address (s-r, r, w) for direct mapping. c. Determine how to split the address (s, w) for associative mapping. d. Determine how to split the address (s-d, d, w) for set-associative each cache set is 4 lines of the cache.

.2: Below is a list of 32-bit memory address references, given as word addresses. 3, 180, 43, 2, 191, 88, 253 For each of these references, identify the binary address, the tag, and the index given a direct- mapped cache with 16 one-word blocks. Also list if each reference is a hit or a miss, assuming the cache is initially empty. For each of these references, identify the binary address, the tag, and the index given a direct-mapped cache with 2-word blocks and a total size of 8 blocks. Also list if each reference is a hit or a miss, assuming the cache is initially empty. For each of these references, identify the binary address, the tag, and the index given a direct-mapped cache with 4-word blocks and a total size of 8 blocks. Also list if each reference is a hit or a miss, assuming the cache is initially empty.

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What is the difference between a cache that is entirely associative and a cache that is directly mapped?

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)

.2: Below is a list of 32-bit memory address references, given as word addresses. 3, 180, 43, 2, 191, 88, 253 For each of these references, identify the binary address, the tag, and the index given a direct- mapped cache with 16 one-word blocks. Also list if each reference is a hit or a miss, assuming the cache is initially empty. For each of these references, identify the binary address, the tag, and the index given a direct-mapped cache with 2-word blocks and a total size of 8 blocks. Also list if each reference is a hit or a miss, assuming the cache is initially empty. For each of these references, identify the binary address, the tag, and the index given a direct-mapped cache with 4-word blocks and a total size of 8 blocks. Also list if each reference is a hit or a miss, assuming the cache is initially empty.