TAILIEUCHUNG - Báo cáo " Race and Hazard algebra in asynchronous system "

Under the name of ideal circuit network, it is easy to make us understand that digital circuits are independent of the inner status and their outputs just only depend on the inputs. They are time constants and therefore Boolean algebra is a special suitable means of describing. In fact propagation delay time of circuit system should be in thought firstly in designing circuit network. In that case Boolean algebra does not seems to be fully suitable for describing actual circuit systems. Furthermore, Boolean algebra cannot help to locate and repair hazard errors in a circuit thoroughly when the. | VNU Journal of Science Mathematics - Physics 24 2008 47-54 Race and Hazard algebra in asynchronous system Nguyen Quy Thuong Vietnam National University Hanoi 144 Xuan Thuy Cau Giay Hanoi Vietnam Received 5 September 2007 received in revised form 12 December 2008 Abstract. Under the name of ideal circuit network it is easy to make us understand that digital circuits are independent of the inner status and their outputs just only depend on the inputs. They are time constants and therefore Boolean algebra is a special suitable means of describing. In fact propagation delay time of circuit system should be in thought firstly in designing circuit network. In that case Boolean algebra does not seems to be fully suitable for describing actual circuit systems. Furthermore Boolean algebra cannot help to locate and repair hazard errors in a circuit thoroughly when the circuit function is minimized with Distributive Law. On the other hand Boolean algebra can create new hazard errors in the circuit. This problem can be solved by using hazard algebra. 1. General view of Race problem and Hazard The running time difference of input signals or intermediate signals causes a race. In fact many micro circuits which depend on time have been used and we should recognize the time in signal processing solution. Time processing is different for every micro circuit type and even one micro circuit itself under various environment conditions temperature humidity. may lead to different drifted time relations. Besides signal pulse frames of digital circuits require a T period of time for progressing to the necessary signal level rather than following a square pulse frame. Such times also can not be defined precisely. The accumulation of propagation delay time delay time of components themselves line delay. and somewhat caused race phenomenon. Hence there is a signal transition upon the time during the signal transmission from input to output. If change of input signal caused a change of the .

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