By T.J. Stonham

1 Numerical illustration of information.- 2 Operations on binary data.- three Combinational good judgment design.- four Sequential common sense fundamentals.- five layout of sequential good judgment circuits.- 6 The electronic system.- 7 useful electronic circuits.- solutions to difficulties.

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Digital Logic Techniques: Principles and Practice

1 Numerical illustration of data. - 2 Operations on binary information. - three Combinational good judgment layout. - four Sequential common sense basics. - five layout of sequential common sense circuits. - 6 The electronic approach. - 7 sensible electronic circuits. - solutions to difficulties.

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0 c c d 0 before looping B 0 d 0 after looping Looping is carried out in the normal way except that loops must now contain cells with identical map entered variables. C. Don't care cells can either be used or ignored in order to give the best cover of the MEV cells. In this example the don't care terms cannot be used to give an improved cover, and therefore have been disregarded. The final function is the logicalOR ofthe sub-functions F 1 and F2 obtained from the two steps, giving F = AB + BC The reader can check that this function can be obtained from the original 3-variable K-map.

13) This method is not suitable for combinational circuits whose outputs are used to drive a sequeiltial system, because the incorrect outputs that occur when the hazards are present will become part of the input sequence to the sequential logic. The second, rather ad hoc method, of eliminating hazards, is to try to balance out delays by using delay gate arrangements. An AND gate with common inputs will have no effect on the value of the data, but it will present a delay. Hence delays can be introduced deliberately into the propagation paths in a circuit to make them equal to the longest propagation delay.

Hence F 1 = F2 Use Boolean algebra to determine whether or not the following functions are equivalent. (A+ C) + A+B+C ÄBC + «AC)(E)B) Confirm your finding by means of truth tables. Summary Logic operations can be divided into three broad and inter-related groups. In a combinational operation, the output at a given time is a function of the inputs at that instant. In a sequential operation, the output is a function of the value and order of aseries of inputs over a given period of time. A storage operation can hold input data and output it at a later time.

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