Suppose a computer using direct-mapped cache has 2 bytes of byte-addressable main memory and a cache of 32 blocks, where each cache block contains 16 bytes.Q.) To which cache block will the memory address 0x0DB63 map?

4. The figure below shows an 8-way interleaved, byte-addressable memory. The total size of the memory is 4 KB. The elements A[i]G) of a 2-dimensional array A are 4-bytes (one-word) in length and can be stored in the memory as shown, where 0 < ij <7. The width of the bus between CPU and memory is 32 bits, that is, it can carry only one word at a time. Bank 1 Bank 7 Bank 0 31 7 A[7][0] A[I][0] A[0]|0] 32 A[7]1] 64 A[7]|2] A[I][2] A[0||2] RANKO 255 224 AI기기 A[I][7] A[0||7) RANKN ...... Since the address space of the memory is 4 KB, 12 bits are needed to uniquely identify each memory location, i.e., Addr[11:0]. Find out and explain which bits of the address will be used for: • Byte on bus: Addr […... :...] Bank index bits within a bank: Addr [.... .] • Chip select address bits within a rank: Addr […... .] • Rank bits: Addr […... :....]

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.

I have a little bit problem with my late quiz for computer architecture, I get the answer from my lecturer but I still don't feel fully understand, can I ask for some help: In a computer system, the memory has 32 blocks and the cache has 8 blocks. Assume there is only one word per block with 4 bytes in one word. The reference sequence in terms of word location is 0, 2, 4, 10, 5, 12, 8, 18, 13. If the cache is direct-mapped, how many misses do we have if the cache is initially empty? Can you give the hit or miss for each reference?