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Chapter: Digital Electronics : Synchronous and Asynchronous Sequential Circuits

Analysis With JK Flip-Flops

The next state values of a sequential circuit that uses JK or T flip-flops can be derived

ANALYSIS WITH JK FLIP-FLOPS

 

The next state values of a sequential circuit that uses JK or T flip-flops can be derived

from:

 

A)        the characteristic table, or

 

B)         the characteristic equation.

 

Procedure:

 

·              Determine the flip-flop input equations in terms of the present state and input variables.

·              List the binary values of each equation.

 

·              Use the flip-flop characteristic table to find the next state values in the state table.

 

As an example consider the following circuit:

 


The circuit can be specified by the flip-flop input equations:

 

JA = B                KA = BX’

 

JB = X’               KB = A’X + AX’

 

The state table is:


The next state of each flip-flop is determined from the corresponding J and K inputs and the characteristic table of the JK flip-flop listed below:

 

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Digital Electronics : Synchronous and Asynchronous Sequential Circuits : Analysis With JK Flip-Flops |


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