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EE2301Dis9F09Sol

# EE2301Dis9F09Sol - Department of Electrical and Computer...

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1 Department of Electrical and Computer Engineering University of Minnesota EE2301 Fall 2009 Introduction to Digital Systems Design L. L. Kinney Discussion IX Solutions 11/12-13: Analysis of synchronous sequential circuits. 1. (a) Construct the transition diagram for the shift register circuit below, where x is the input and the output is C. (Note: The terms transition diagram (graph) and transition table are used when the binary encoding for the states is known while state diagram and state table are used when the states only have names.) (b) Modify the circuit so that C is connected to x and reconstruct the transition diagram. (This is a 3-stage ring counter.) (c) Modify the circuit so that C is connected to x and reconstruct the transition diagram. (This is a 3-stage twisted ring counter.) (a) X ABC 0 1 000 000 100 001 000 100 010 001 101 011 001 101 100 010 110 101 010 110 110 011 111 111 011 111

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2 (b) ABC 000 000 001 100 010 001 011 101 100 010 101 110 110 011 111 111 The 001, 100, 010 cycle is normally used producing a 3 state counter; 011, 101, 110 could also be used.
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