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?

A memory system has 4 KB byte-addressable main memory and a direct-mapped cache that consists of 8 blocks with 16 bytes per block. The following shows the main memory address format that allows us to map addresses from main memory to cache. Note: 12 bit address, 4 bit offset, 3 bit $block, and 5 bit tag Assume the cache directory shown below:

CA_6 We study the properties of cache memory, and for reasons of easier design and efficient circuits, we assume that the cache capacity is 2i Bytes, and cache line size is 2j Bytes, with i and j being natural numbers:  (a)  How many bits should the tag field have? And can the tag field contain 0 bit (i.e., be empty)? Elaborate  (b)  Repeat the above for the index field. (c)  Repeat the above for the byte-offset field. (d) Finally, depict a figure showing a cache line, indicate what fields it possibly has, state the possible sizes of these fields, and explain the uses of these fields.

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.

Convert the following Compact Memory Notation diagram into an Array Memory Notation diagram. Assume the addresses are 4-bit binary values and the data are 8-bit binary values. Hint: The solution to this question is simply the reformatted diagram in Array Notation.

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 ---------

QUESTION 9 1. If a given memory address for a byte addressable machine is found in a cache that uses a 128 byte cache line size, the least significant 8 bits in the memory address will be used to select the byte(s) in the cache line to work with. True False QUESTION 10 1. SRAM memory is used predominately in: C SRAM memory is used predominately in: C motherboard main memory C BIOS PROM memory C SD card memory devices C CPU on-chip cache memory

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.

Suppose we have a byte-addressable computer with a cache that holds 16 blocks of 4 bytes address has 8 bits, to which cache set would the hexadecimal address OxBE map if the computer mapping? each. Assuming that each memory uses 2-way set associative