1. Suppose a computer using direct mapped cache has 2^20 bytes of byte-addressable main memory, and a cache of 128 blocks, where each cache block contains 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 Ox0DAB3 map?

3.

Suppose a computer using direct mapped cache has 236 bytes of byte-addressable main memory and a cache size of 1024 bytes, and each cache block contains 64 bytes. ⦁ How many blocks of main memory are there? ⦁ 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? ⦁ To which cache block will the memory address 0x13A4576B map?

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 4-way set associative, what is the format of a memory address as seen by the cache?

In a certain computer, the virtual addresses are 32 bits long and the physical addresses are 48 bits long. The memory is word addressable. The page size is 16 kB and the word size is 2 bytes. The Translation Look-aside Buffer (TLB) in the address translation path has 64 valid entries. Hit ratio of TLB is 100% then maximum number of distinct virtual addresses that can be translated is K.

Question 4

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.

.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.

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

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.) To which cache block will the memory address 0x01D872 map?

3. The table below represents five lines from a cache that uses fully associative mapping with a block size of 8. Identify the address of the shaded data, 0xE6, first in binary and then in hexadecimal. The tag numbers and word id bits are in binary, but the content of the cache (the data) is in hexadecimal. Word id bits Tag 000 001 010 011 100 101 110 111 ------------------------------------------ 1011010 10 65 BA 0F C4 19 6E C3 1100101 21 76 CB 80 D5 2A 7F B5 0011011 32 87 DC 91 E6 3B F0 A6 1100000 43 98 ED A2 F7 4C E1 97 1111100 54 9A FE B3 08 5D D2 88

Assume that a block is being returned from the write buffer to main memory when the processor makes a partially completed request to the cache. The events should go as follows.

.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.