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Hazards 9.6. Figure 9.61 Definition of hazards 11 00 10 01 (a) Static hazard (b) Dynamic hazard 1 0 1 0.

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Presentation on theme: "Hazards 9.6. Figure 9.61 Definition of hazards 11 00 10 01 (a) Static hazard (b) Dynamic hazard 1 0 1 0."— Presentation transcript:

1 Hazards 9.6

2 Figure 9.61 Definition of hazards (a) Static hazard (b) Dynamic hazard

3 Figure 9.62 An example of a static hazard x 1 x 2 x (b) Karnaugh map 11 1 f x 3 (a) Circuit with a hazard x 1 x 2 p q x 3 x 1 x 2 f (c) Hazard-free circuit

4 Figure 9.63 Two-level implementation of master-slave D flip-flop (b) Karnaugh maps forY m andY s in Figure 9.6a 11 1 y m y s CD y m y s CD 11 D C Y m Y s y m y s p q r (a) Minimum-cost circuit Q D C Y m Y s y m y s (c) Hazard-free circuit Q

5 Figure 9.64 Function for Example 9.17 x 1 x 2 x 3 x dd d 1 para resolver o hazard, não há necessidade de cobrir os don´t care, apenas os 1s adjacentes

6 Figure 9.65 Static hazard in a POS circuit x 1 x 2 x (b) Karnaugh map x 3 x 2 x 1 f (c) Hazard-free circuit f x 3 (a) Circuit with a hazard x 2 x 1 p q

7 Figure 9.66 Circuit with a dynamic hazard x 2 x 3 x 4 x 1 b a c d f One gate delay (b) Timing diagram (a) Circuit x 2 x 1 x 3 x 4 b a c d f


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