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There is no skew between the clocks Φ1a, Φ1b, Φ1c that all share the same start time.. o What is the minimum cycle time at which the system operates correctly?. o Suppose that Φ1a and Φ1

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Thuan Xuan Nguyen

Department of Electronics and Telecommunications

University of Science, Ho Chi Minh City

Vietnam National University, Ho Chi Minh City

Tel: (+84) 906 834 817

Email: thuannguyen.teaching@gmail.com

Site: http://www.thuanxuannguyen.tk/

ASSIGNMENT #6

Edited: Wednesday, May 18th 2011 Question 1, 6: use Vietnamese only

1 Based on Section 7.9 (page 497/1003), express the differences in sequencing methodologies between Pentium 4 and Itanium 2

2 Consider the path in the following figure using flip-flops F1, F2, and F3 The flip-flops have a setup time of 100 ps and a clock-to-Q delay of 150 ps There is no skew between the clocks Φ1a, Φ1b, Φ1c that all share the same start time The departure time from each flop is D1 = D2 = D3 = 0

o What is the minimum cycle

time at which the system

operates correctly?

o Suppose that Φ1a and Φ1b are

in a common local clock

domain, but Φ1c is in a

different clock domain What

is the minimum cycle time of

the system if

o The local skew is 50 ps and

the global skew is 140 ps?

o The local skew is 25 ps and

the global skew is 300 ps?

3 For the path in Figure 3.1, determine which latches borrow time and if any setup time violations occur Repeat for cycle times of 1200 and 800 ps Assume there is zero clock skew and that the latch delays are accounted for in the propagation delay ∆’s

o ∆1 = 550 ps; ∆2 = 580 ps; ∆3 = 450 ps; ∆4 = 200 ps

o ∆1 = 300 ps; ∆2 = 600 ps; ∆3 = 400 ps; ∆4 = 550 ps

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Figure 3.1

4 Determine the minimum clock period at which the circuit in Figure 4.1 will operate correctly for each of the following logic delays Assume there is zero clock skew and that the latch delays are accounted for in the propagation delay ∆’s

o ∆1 = 300 ps; ∆2 = 400 ps; ∆3 = 200 ps; ∆4 = 350 ps

o ∆1 = 300 ps; ∆2 = 900 ps; ∆3 = 200 ps; ∆4 = 350 ps

Figure 4.1

5 A synchronizer users a flip-flop with Ts = 54 ps and T0 = 21 ps Assuming the input toggles at

10 MHz and the setup time is negligible, what is the minimum clock period for which the mean time between failures exceeds 100 years?

6 Inferior Circuits, Inc., wants to sell you a perfect synchronizer that they claim never produces

a metastable output The synchronizer consists of a regular flip-flop followed by a high-gain comparator that produces a high output for inputs above 0.25VDD and a low output for inputs below that point The VP of marketing argues that even if the flip-flop enters metastability, its output will hover near VDD/2 so the synchronizer will produce a good high output after the comparator Why wouldn’t you buy this synchronizer?

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