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Since the i-v characteristic has two breakpoints, two diodes are required. Both diodes must be oriented so that no current ows for v < 5 V. Further, one diode must move into forward bias at the rst breakpoint, v 5 V, and the second diode must begin conduction at v 10 V. Note also that the slope of the i-v plot is the reciprocal of the Thevenin equivalent resistance of the active portion of the network.

When the system finds it convenient to do so, the system writes the committed changes to the file system itself When all the changes have been transferred to the file system, the system can delete the record of the transaction in the write-ahead log If the system should fail some time during this process, the system can look in the write-ahead log when the system recovers to see what transactions were committed but not yet written to the file system itself The system can roll back partially complete transactions 611 If a memory access requires 100 nanoseconds, and the computer uses a page table and virtual memory, how long does it take to read a word of program memory It takes 100ns to read the page table entry, plus 100ns to read the memory location itself The total access time is 200ns 6.

15.7 15.8 15.9

1 + _

Find two nonisomorphic graphs for which all five conditions of Theorem 15.4 on page 289 are true. Describe the adjacency matrix for the complete graph on n vertices. Describe the incidence matrix for the complete graph on n vertices.

+ LD2 _ 4

12 If we add a TLB to the computer in the previous question, and 80% of the time the page table entry is in the TLB (ie, the required memory access results in a hit in the TLB 80% of the time), on average, how long does it take to read a word of program memory Assuming that TLB access time is negligible: 8 * ( 100ns ) + 2 * ( 200ns ) = 120ns 613 A paging system uses pages with 1024 addresses per page Given the following page table: Page 0 1 2 3 4 Frame 4 10 6 7 5.

15.10 Let G1 be the graph represented by the adjacency list shown in Figure 15.36: a. Draw G1. b. Is G1 a directed graph c. Is G1 strongly connected d. Is G1 weakly connected e. Is G1 acyclic f. Give the adjacency matrix for G1.

R1 _ 3

15.11 Let G1 be the graph whose adjacency matrix is shown in Figure 15.37: a. Draw G1. b. Is G1 a simple graph c. Is G1 a directed graph d. Is G1 strongly connected e. Is G1 weakly connected f. Is G1 acyclic Figure 15.37 A matrix 15.12 Let G2 be the weighted digraph shown in Figure 15.38: a. Draw the adjacency matrix for this graph. b. Draw the adjacency list for this graph. c. Is this graph connected Justify your answer. d. Is this graph acyclic Justify your answer.

R2 5 + V2 0 (b) _

What are the physical addresses corresponding to the following logical addresses Logical address 0 430 2071 4129 5209 4096 4526 6167 5123 memory protection error

_5 0 10 20

15.13 A wheel graph on n vertices is a graph of size n +1 consisting of a n-cycle in which each of the n vertices is also adjacent to a single common center vertex. For example, the graph shown in Figure 15.39 is the wheel graph on six vertices. Describe: a. The adjacency matrix of a wheel graph on n vertices b. The incidence matrix of a wheel graph on n vertices c. The adjacency list of a wheel graph on n vertices

Fig. 2-41

CHAP. 15]

6.14 Why do virtual memory systems include a modified bit in the page table entry If a process has written to a page, it will take more time to reallocate that memory to a new page. If a page has been modified, the system must write the page to disk before the frame of memory can be used for another page mapping. On the other hand, the system does not need to write and

The circuit of Fig. 2-41(b) will produce the given i-v plot if R1 6 k , R2 3 k , V1 5 V, and V2 10 V. These values are arrived at as follows: 1. 2. If v < 5 V, both vD1 and vD2 are negative, both diodes block, and no current ows. If 5 v < 10 V, D1 is forward-biased and acts as a short circuit, whereas vD2 is negative, causing D2 to act as an open circuit. R1 is found as the reciprocal of the slope in that range: R1 3. 10 5 6 k 0:0025