F06 final solution

# F06 final solution - ECE 152A Fall 2006 University of...

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ECE 152A – Fall 2006 12/14/2006 Final Exam Solution – Page 1 of 21 University of California, Santa Barbara Department of Electrical and Computer Engineering ECE 152A – Digital Design Principles Final Exam December 14, 2006 Name _____________________________________ Perm # ____________________________________ Lab Section _______________________________ Problem #1 (25 points) ____________ Problem #2 (25 points) ____________ Problem #3 (25 points) ____________ Problem #4 (25 points) ____________ Total (100 points) ____________ This is a 3 hour exam; closed book, closed notes, no calculators. Answer all questions (except timing diagrams) on the paper provided by the instructor; answer timing diagram problems on exam sheet. Write on only one side of the paper. Attach answer sheets to this exam in the correct order. Include your name and perm # on every sheet.

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ECE 152A – Fall 2006 12/14/2006 Final Exam Solution – Page 2 of 21 Problem #1. For the machine defined by the state table below: PS X = 0 X = 1 Z A H G 0 B A E 1 C A A 1 D G F 0 E D G 0 F E A 1 G C D 0 H G B 0 1. Minimize the machine using an Implication Chart
ECE 152A – Fall 2006 12/14/2006 Final Exam Solution – Page 3 of 21

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ECE 152A – Fall 2006 12/14/2006 Final Exam Solution – Page 4 of 21 2. Verify your answer to part 1 above by deriving the equivalence partition (using the Moore reduction procedure).
ECE 152A – Fall 2006 12/14/2006 Final Exam Solution – Page 5 of 21 3. Construct the state table for the reduced machine.

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ECE 152A – Fall 2006 12/14/2006 Final Exam Solution – Page 6 of 21 Problem #2. In this problem you are to design the controller for an electronic black jack game. For those unfamiliar with the game, the object is to draw cards and get as close to 21 as possible without going over. You play against a dealer who also draws cards to 21. Player or dealer with the highest total without going over 21, wins the game. There are two control inputs, the Deal button (D) and the Stand button (S). There are also inputs indicating that the current total (“active participant”) is < 17 H(it), that the current total (“active participant”) is > 21 B(ust) and that the player currently has a higher T(otal) than the dealer. There are only two participants in the game, the dealer and the player, and only
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F06 final solution - ECE 152A Fall 2006 University of...

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