Some portion of cache system B represented a 2 way set-associative mapping cache system. The system is byte-addressable and the block size is one word (4 bytes. The tag and set number are represented with a birary numbers. The contents of words in the block are mpresented with headecimal Tag Set Nuimber Word within block 01 10 bo s000 0100 1001 01101101 1 11000100 1001 b110 1101 32 to 1000 0100 1001 b110 1110 1100 0100 1101 b1101110 bo s000 0s00 1001 e110 1111 b1101111 ho 1000 000 s00n p10000 10000010 b1110000 ss10001 voei onto a1.0010 8.

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?

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.

Assume the address format for a fully-associative cache is as follows: 6 bits 2 bits Tag Offset 8 bits Given the cache directory is as shown in the diagram below, indicate whether the memory reference Ox5E results in a cache hits or a miss. Tag valid Block 000 110110 001 000001 010 000010 011 000101 100 001000 1 101 100010 110 010111 111 110110 O Hit O Miss

We are given a list of 64-bit memory address references, given as word addresses. Ox03, Oxb4, Ox2b, Ox02, Oxbf, Ox58, Oxbe, Ox0e, Oxb5, 0x2c, Oxba, Oxfd (A) For each of these references, identify the binary word address, the tag, and the index given a direct-mapped cache with 16 one- word blocks. Also list whether each reference is a hit or a miss, assuming the cache is initially empty. (B) For each of these references, identify the binary word address, the tag, the index, and the offset given a direct-mapped cache with two-word blocks and a total size of eight blocks. Also list if each reference is a hit or a miss, assuming the cache is initially empty. (C) You are asked to optimize a cache design for the given references (i.e. addresses). There are three direct-mapped cache designs possible, all with a total of eight words of data: (i) Cache1 has 1-word blocks, (ii) Cache2 has 2-word blocks, and (iii) Cache3 has 4-word blocks.

Question 4

Cache system B represents a 2-way set-associative mapping cache system in table 2 The system is byte-addressable and the block size is one word (4 bytes). The tag and set numbers are represented with binary numbers. The contents of words in a block are represented with hexadecimal. Tag 10 1000 0100 1001 0000 11 1100 0100 1001 0000 10 1000 0100 1001 0000 11 1100 0100 1001 0000 10 1000 0100 1001 0000 11 1100 0100 1001 0000 10 1000 0100 1001 0000 11 1100 0100 1001 0000 10 1000 0100 1001 0000 11 1100 0100 1001 0000 10 1000 0100 1001 0000 11 1100 0100 1001 0000 Table 2 1. What is the size of the main memory for the Cache system B? Answer= 2. What is the size of the cache memory of Cache system B? Answer = Answer= Answer = 16 Answer = Set Number 16 1011 0110 1101 1011 0110 1101 miss(es) 1011 0110 1110 1011 0110 1110 1011 0110 1111 1011 0110 1111 1011 0111 0000 3. If we request to read memory address F1 24 2D B7, what data do we get? 1011 0111 0000 1011 0111 0001 1011 0111 0001 4. If we…

Below is a series of byte addresses in a system with 32 bit words. Assuming a direct-mapped cache with 4-word blocks and a total size of 32 words that is initially empty, (a) label each reference in the list as a hit or a miss and (b) show the entire history of the cache, including tag and data. Byte Address Byte Address (Hexadecimal) (Binary) Hit/Miss 76 0000 0000 0111 0110 1E3 0000 0001 1110 0011 815 0000 1000 0001 0101 141 0000 0001 0100 0001 170 0000 0001 0111 0000 5E1 0000 0101 1110 0001 320 0000 0011 0010 1100 B10 0000 1011 0001 0000 175 0000 0001 0111 0101 583 0000 0101 1000 0011 1FF 0000 0001 1111 1111 7A 0000 0000 0111 1010 2B2 0000 0010 1011 0010 5E4 0000 0101 1110 0100 816 0000 1000 0001 0110 438 0000 0100 0011 1000

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

Question 23 Some portion of cache system A represented below. The system is byte-addressable and the block size is one word (4 bytes). The tag and line number are represented with a binary numbers. The contents of words in the block are represented with hexadecimal. Tag 10 1000 0100 1001 10 1000 0100 1001 10 1000 0100 1001 10 1000 0100 1101 Line Number 0110 1101 0110 1110 0110 1111 B1 FF B8 A1 FF B8 B1 FF B8 A1 FF B8 B1 FF B8 0111 0000 1. What is the size of the main memory of this system? 2. What is the size of the cache memory of this system? 00 Word within block 2016 6116 C116 2116 01 10 11 3216 7216 C216 D216 4216 8216 4116 A216 E216 9216 5216 B216 3. If the CPU requests to read memory address A1 25 BA, what data does the CPU receive? 4. If the CPU requests to read memory address A1 35 C2, what data does the CPU receive? 5. If we access memory in the following order in cache system A: A1 FF B8 how many cache misses would occur for the data request?