TAILIEUCHUNG - Báo cáo " Hazard removal solution by synchronization "

There are many methods to design digital circuits without hazard, such as the use of Boolean algebra, algebra hazard, karnaugh map, matrix method, VHDL, etc. However, these methods are not very suitable for the design of circuit system such as design of GALS circuits. In this case, synchronization is the most optimal method. 1. Introduction Hazard is the essence of digital circuits including synchronous circuit and asynchronous circuit. Hazard occurs as much as “autumn’s leaves” [1] and has adverse impact on the working of digital circuits. . | VNU Journal of Science Mathematics - Physics 25 2009 117-122 Hazard removal solution by synchronization Nguyen Quy Thuong Vietnam National University 144 Xuan Thuy Cau Giay Hanoi Vietnam Received 25 June 2009 received in revised form 10 July 2009 Abstract. There are many methods to design digital circuits without hazard such as the use of Boolean algebra algebra hazard karnaugh map matrix method VHDL etc. However these methods are not very suitable for the design of circuit system such as design of GALS circuits. In this case synchronization is the most optimal method. 1. Introduction Hazard is the essence of digital circuits including synchronous circuit and asynchronous circuit. Hazard occurs as much as autumn s leaves 1 and has adverse impact on the working of digital circuits. However Hazard only has insignificant impact on synchronous circuit while it can make the operation of asynchronous circuits incorrect and even stop the operation of machine 2 . In design of digital circuit Hazard can be removed by many methods and most typical ones include Karnaugh map Boolean algebra 3 Hazard algebra 4 Matrix Method 5 and VHDL 6 etc. However these methods are not really suitable for the design of such circuit system including both synchronous circuit and asynchronous circuit as GALS circuit 7 and sequetial circuit. As synchronous circuits are not significantly subject to the impact of Hazard we can immediately think of synchronization of the whole circuit system so as to remove the negative impact of Hazard on asynchronous circuits in particular and on the whole system in general. 2. Removal of Hazard in asynchronous sequential circuits by synchronization method In this section we turn our attention to asynchronous circuits or signals driving synchro- nous circuits. Initially we look at the problem that occurs if an asynchronous signal is applied directly to the synchronous circuit without special treatment. Then we offer a solution but find that there is an additional

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