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• 2. Consider the counting of the number of onto functions H: A →B where IA I≥ IBI.【題組】(a) Find the ex
• 8.w ral a may DiEen a heftoueat There are two DRAM channels.Each channel has two ranks of DRAM chips
• 【題組】1.2 Increasing the page size tends to decrease the size of the page table.
• 【題組】.1.3 Virtual memory typically uses a write-back strategy, rather than a write-through
• 【題組】1.4 If the cycle time and the CPI both increase by 10% and the number of instructiondecreases by
• 【題組】1.5 In uniform memory access (UMA) designs, all processors use the same address space.
• 2.Server farms such as Google and Yahoo! Provide enough computer capacity for thehighest request rat
• 【題組】2.2 How much power saving would be achieved by placing 60% of the servers in the "barelyali
• 3. A multicycle CPU has three implementations. The first one is a 5-cycle IF-ID-EX-MEM-WB design run
• 【題組】3.2 How about the 7-cycle design over the 6-cycle design, is it worthwhile?
• 8. Now, you decide to transfer one signal s(x) (i.e., s(x) = )and make the f(x) as the carriewave.
• 12. 運輸船進港卸貨時間會受到水深的影響，水深夠深時，才能進港卸貨。某人測量某海港某日 24 小時之時間 t（單位：時）與水深 h（單位：公尺）的關係，下表為其當日凌晨0:00 到中午 12:00
• (b) Find the coefficient offor .
• 101. 當學校接獲重大災害及緊急校安事件時，除了學生反映及家長通報外，還有哪些管道可以通報?(A)警方(B)民眾(C)學校主動發現(D)以上皆是。
• 5. Let be a set of five positive integers the maximum of which is at most 9. Prove that the sumsof
• 4. Identify all of the data dependencies in the following code running in a 5-stage pipelinedMIPS CP
• 【題組】(b) Apply the above exponential generating function to find the answer of the abovecounting wher
• 2. Given one logical circuit (as shown in Figure 1) and the corresponding truth table is providedin
• 【題組】1.2 Show that if A is idempotent, then is idempotent.
• 3. Let Σ= [0, 1] be an alphabet and A = [1, 00, 10] be a subset of Σ*.【題組】(a) For each integer n ≥ 1
• 5. For a system with 32-bit address, the CPU uses a 4-way set associate cache with blocksize of 16 b
• 【題組】5.2 Assume each block requires 2 extra valid bits. What is the size of the cache memory?
• 【題組】1.3 Is A+B idempotent? Justify your answer.
• 【題組】1.4Find all values of k for which kA is also idempotent.
• 6. (a) Fermat's Theorem. If is a prime, prove that for each .