Conversion of Flip Flops

Conversion of flip-flops causes one type of flip-flop to behave like another type of flip-flop. In order to make one flip-flop mimic the behavior of another certain additional circuitry and/or connections become necessary.

Conversion of JK Flip-Flop to SR Flip-Flop

Step 1: Write the Truth Table of the Desired Flip-Flop
Here SR flip-flop is to be designed using JK flip-flop. Thus one needs to write the truth table for SR flip-flop.

truth table of the desired flip flop
Step 2: Obtain the Excitation Table for the given Flip-Flop from its Truth Table
Excitation tables provide the details regarding the inputs which must be provided to the flip-flop to obtain a definite next state (Qn+1) from the known current state (Qn).

truth table of the desired flip flop
From the truth table of JK flip-flop one can see that Qn+1 will become 0 from Qn = 0 for both (i) J = K = 0 and (ii) J = 0 and K =1 (blue entries in first and third rows of the truth table).

This means that to obtain the next state, Qn+1 as 0 from the current state Qn = 0, J must be made zero while K can be either 0 or 1.

This is indicated by the first row of the excitation table (blue entries in the first row of excitation table) where the value of K is expressed as ‘X’ indicating don’t care condition. Similarly to obtain the next state as 1 from the current state 0, one has to have J equal to 1 while K can be either 0 or 1 (indicated by green entries of the truth table).

This leads to the second row of excitation table (green entries) to be filled with values Qn = 0, Qn+1 = 1, J = 1 and K = X. On the same grounds, the entire excitation table needs to be filled (entries in pink and dark red colors).

Step 3: Append the Excitation Table of the given Flip-Flop to the Truth Table of the Desired Flip-Flop Appropriately to obtain Conversion Table
Here the conversion table is obtained by filling-up the values of the J and K inputs for the given Qn and Qn+1, by referring to the excitation table.
truth table of the desired flip flop
Step 4: Simplify the Expressions for the Inputs of the given Flip-Flop
In this case, one needs to arrive at the logical expressions for the inputs J and K in terms of S, R, and Qn using suitable simplification techniques like K-map.
truth table of the desired flip flop
Step 5: Design the Necessary Circuit and make the Connections accordingly
Here neither additional circuit nor new connections are necessary.
truth table of the desired flip flop
On the same grounds, one can convert the given flip-flop to any other type of flip-flop as shown below.

Conversion of JK Flip Flop to D Flip Flop

conversion of jk flip flop to d flip flop

Conversion of JK Flip Flop to T Flip Flop

The conversion from a JK flip flop to a T flip flop is shown below.

conversion of jk flip flop to t flip flop
conversion of jk flip flop to t flip flop

Conversion of SR Flip Flop to JK Flip Flop

conversion of sr flip flop to jk flip flop
conversion of sr flip flop to jk flip flop

Conversion of SR Flip Flop to D Flip Flop

conversion of sr flip flop to d flip flop
conversion of sr flip flop to d flip flop

Conversion of SR Flip Flop to T Flip Flop

conversion of sr flip flop to t flip flop
conversion of sr flip flop to t flip flop

Conversion of D Flip Flop to JK Flip Flop

conversion of d flip flop to jk flip flop
conversion of d flip flop to jk flip flop

Conversion of D Flip Flop to SR Flip Flop

conversion of d flip flop to sr flip flop
conversion of d flip flop to sr flip flop

Conversion of D Flip Flop to T Flip Flop

conversion of d flip flop to t flip flop
conversion of d flip flop to t flip flop

Conversion of T Flip Flop to JK Flip Flop

conversion of t flip flop to jk flip flop
conversion of t flip flop to jk flip flop

Conversion of T Flip Flop to SR Flip Flop

conversion of t flip flop to sr flip flop
conversion of t flip flop to sr flip flop

Conversion of T Flip Flop to D Flip Flop

conversion of t flip flop to d flip flop
conversion of t flip flop to d flip flop

   
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