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Mealy Machine x X1 X2 S S1 S2 S3 x X1 X2 S S1 Y1 Y2 S2 Y3 S3 outputs

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Presentation on theme: "Mealy Machine x X1 X2 S S1 S2 S3 x X1 X2 S S1 Y1 Y2 S2 Y3 S3 outputs"— Presentation transcript:

1 Mealy Machine x X1 X2 S S1 S2 S3 x X1 X2 S S1 Y1 Y2 S2 Y3 S3 outputs
state X X1 X2 S S1 S2 Y1 Y2 S3 Y3

2 State table of Mealy Machine
x X1 X2 S S1 S2 S3 S Y S1 Y2 S2 Y1 S3 Y3

3 Mealy Machine Graph X2/Y2 X X1 X2 S S1 S2 Y1 Y2 S3 Y3 X2/Y1 X1/Y1 S1

4 Moore Machine Graph X2 x X1 X2 Y S S1 S2 Y2 S3 Y1 Y3 X1 S1/Y2 X2 S2/Y1

5 Natural language formulation of a problem
Design a control unit for ligth signalization on the railway with car sensors in positions A, B, C. The cars can go BA, AB i AC. In direction BA go only car sets of length larger than the distance between sensors B and A. In directions AB and AC go only single cars of length smaller than distance between sensors A and B and A and C, respectively. The designed circuit should light lamp z=1 if there are no cars between sensors A and B or sensors A and C Sensors A, B, C generate signals a=1, b=1 and c=1 respectively, when sets of cars or single cars occur to be in their close distance.

6 Timing Diagram Specification

7 Transition and output table for light signalization circuit
ABC 000 001 011 010 110 111 101 100 Z S S1 - S6 S2 S3 1 S5 S4 S7 S8

8 Moore Machine graph for the analyzed device
010 6/1 110 1/0 100 000 000 7/1 2/1 000 100 8/1 001 5/1 3/1 000 010 4/1

9 asynchronous flip-flop sr
Q(t+1) Q(t) 1 - Q(t)Q(t+1) s r - 1

10 Asynchronous sr flip-flop

11 Asynchronous flip-flop sr
Q(t+1) Q(t) 1 -

12 Negated sr FF This version has negated inputs
This FF realizes the function: Q(t+1) - 1 Q(t) Q(t)Q(t+1) - 1

13 Negated sr FF

14 Negated sr FF Q(t+1) - 1 Q(t)


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