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probset3 - Department of Electrical and Computer...

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Department of Electrical and Computer Engineering The University of Texas at Austin EE 306, Fall 2009 Problem Set 3 Due: October 12, before class Yale N. Patt, Instructor TAs: Aater Suleman, Chang Joo Lee, Ameya Chaudhari, Antonius Keddis, Arvind Chandrababu, Bhargavi Narayanasetty, Eshar Ben-dor, Faruk Guvenilir, Marc Kellermann, RJ Harden Instructions: You are encouraged to work on the problem set in groups and turn in one problem set for the entire group. Remember to put all your names on the solution sheet. Also, remember to put the name of the TA and the time for the discussion section you would like the problem set turned back to you. Show your work. 1. Moved from problem set 2. We want to make a state machine for the scoreboard of the Texas vs. Oklahoma Football game. The following information is required to determine the state of the game: 1. Score: 0 to 99 points for each team 2. Down: 1, 2, 3, or 4 3. Yards to gain: 0 to 99 4. Quarter: 1, 2, 3, 4 5. Yardline: any number from Home 0 to Home 49, Visitor 0 to Visitor 49, 50 6. Possesion: Home, Visitor 7. Time remaining: any number from 0:00 to 15:00, where m:s (minutes, seconds) (a) What is the minimum number of bits that we need to use to store the state required? (b) Suppose we make a separate logic circuit for each of the seven elements on the scoreboard, how many bits would it then take to store the state of the scoreboard? (c) Why might part b be a better way to specify the state? 2. Moved from problem set 2. A logic circuit consisting of 6 gated D latches and 1 inverter is shown below: Figure 1 Figure 2 Let the state of the circuit be defined by the state of the 6 D latches. Assume initially the state is
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