Electrical Engineering 20N - Spring 2002 - Varaiya - Mid 1

Electrical Engineering 20N - Spring 2002 - Varaiya - Mid 1...

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EECS 20. Midterm No. 1 March 7, 2002. Please use these sheets for your answer and your work. Use the backs if necessary. Write clearly and put a box around your an- swer, and show your work. Print your name and lab TA’s name below Name: Lab TA: Problem 1: Problem 2: Problem 3: Problem 4: Total: 1
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1. 15 points. Consider state machines A , B and C , described below by their state space, input alphabet, output alphabet, and state transition diagram. Let Set1 = { T, F, absent } Set2 = { 1 , 0 , absent } State machine A: Inputs = Set2 , Outputs = Set1 , States = { a, b } State machine B: Inputs = Set1 , Outputs = Set2 , States = { 1 , 2 } State machine C: Inputs = Set2 , Outputs = Set1 , States = { x, y } x y {1}/T {0}/F {0}/T {1}/F C a b {0}/F {0}/T {1}/F {1}/T A 1 2 {T}/1 {F}/0 {T}/0 {F}/1 B 2
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Classify whether these compositions are well-formed. Explain your answer. (a) Well-formed or not well-formed B C (b) Well-formed or not well-formed A B (c) Well-formed or not well-formed A C 3
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2. 20 points. Consider the following state machine A : Inputs = { 0,1,reset,absent } Outputs = { 0,1,absent } States = { a,b,c,d } initialState = a update
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