Modular Combinational Logic - Inspiring Innovation

Modular Combinational Logic - Inspiring Innovation

Synthesis Synchronous Sequential Circuits synthesis procedure Word description of problem /hardest; art, not science/ Derive state diagram & state table Minimize /moderately hard/

Assign states /very hard, NP-complete problem/ Produce state & output transition tables Determine what FFs to use and find their excitation maps Derive output equations/K-maps Obtain the logic diagram

Synthesis Types of Sequential Circuits Completely/incompletely specified Synthesis

Example: Find D FF realization of circuit defined in table (a) (b): state

assignment (c): transition table (d): output Kmap (e): excitation K-map

Synthesis Example solution: Logic diagram

Synthesis Q(t): state of FF when clock signal is activated Q(t+): state of

FF after clock signal has been activated Synthesis

Example is same as before, but use JK FFs (a): transition table; (b): Excitation tables; (c): Excitation maps Synthesis Example JK FF

solution: Logic diagram Synthesis Example Synthesis Example

Synthesis Example 01 recognizer timing diagram Synthesis Example

Synthesis Example State table, transition table and output map Synthesis Example K-maps for a clocked SR realization

Synthesis Example Synthesis Example Feedback for

overlapping sequences Complete state diagram State table

Reduced state table State diagram Synthesis Example

Synthesis Example Candy machine state diagram

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