l4_design.pdf - 1 E1122 DIGITAL LOGIC(B SPRING 2018 Lecture...

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E1122 DIGITAL LOGIC (B) SPRING 2018 Lecture 4 Design 1
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State Reduction and Assignment 2 The analysis of sequential circuits starts from a circuit diagram and culminates in a state table or diagram. The design of a sequential circuit starts from a set of specifications and culminates discusses certain properties of sequential circuits that may be used to reduce the number of gates and flip-flops during the design .
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State Reduction Sequential Circuits 3 Reduce the number of states but keep the input-output requirements Reducing the number of states may reduce the number of flip-flops If there are n flip-flops, there are 2^ n states Two states are said to be equivalent if for each member of the set of inputs, they give exactly the same output and send the circuit either to the same state or to an equivalent state. They may replace each other
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State Reduction Example Sequential Circuits 4 Find the states for which the next states and outputs are the same
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Example (Cont.) Sequential Circuits 5 In the next state, g is replaced with e In the next state, f is replaced with d
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state assignment 6
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