1. What are the various types of memories used in computer systems, and what are their key differences in terms of performance, capacity, and cost? 2. What is cache memory, and how does it improve the performance of the system? 3. What is DRAM and how does it differ from SRAM in terms of performance and cost? 4. What are the key challenges in designing high-performance memory systems, and how are they addressed in practice? 5. How do memory modules interact with the CPU and motherboard, and what factors affect their compatibility and performance? Problem 1: How would you build a 4 MByte memory from 512 kByte. Draw a figure that illustrates your work. Problem 2: A computer system includes 512 KB (B: Byte) main memory and a cache memory that can hold 8 KB data. Data transfers between main and cache memories are performed using blocks of 32 bytes (4-Byte word). In necessary cases LRU is used as replacement technique. Answer this question according to following three different mapping techniques: a) If the cache memory is direct mapping, b) If the cache memory is 2-way set associative (2 blocks in a set) c) If the cache memory is Full associative 1. II. III. Draw the fields of the physical address, which is divided by the cache control unit? Give the lengths of the fields. What is the size of the tag memory (how many rows, the length and contents of each row)? Assume that the cache memory is empty and the following addresses are generated by the CPU in the given order. List all operations performed by the cache controller. Show the values written to the tag memory a. 0x00050 b. 0x00090 c. 0x20E0