Conversion of D to SR and JK flip flop

Conversion of D flip flop

In the last article we have discussed about “how to convert JK flip flop into SR, D and T type of flip flop”. Today we are going to convert D flip flop. We can convert D flip flop into SR and JK flip flop by using suitable combinational circuit. Combinational circuits for this purpose can be designed easily by using conversion tables and K-Maps. Let us see how to convert D flip flop into different types of flip flop.

1)      Conversion of D flip flop into SR flip flop:

For converting D flip flop to SR flip flop, we use S and R as external inputs and D is the actual input to the flip flop. S, R and Qn makes eight possible combinations, but S=R=1 is an invalid combination. So, the corresponding entries for Qn+1 and D are don’t cares. Then we have to express D in terms of S, R and Qn for the design of required flip flop.

The conversion table, K-Maps and logic diagram for the conversion of D flip flop into SR flip flop is shown below:

D Flip Flop to SR Flip Flop 1

D Flip Flop to SR Flip Flop 3

D Flip Flop to SR Flip Flop 2

2)      Conversion of D flip flop into JK flip flop:

In case of conversion of D flip flop to JK flip flop we have to use J and K as the external inputs and D as the input of actual flip flop. J,K and Qn makes eight possible combinations. Express D in terms of J, K and Qn.

The conversion table, K-Maps and logic diagram for the conversion of D flip flop into JK flip flop is shown below:

D Flip Flop to JK Flip Flop 1

D Flip Flop to JK Flip Flop 2

D Flip Flop to JK Flip Flop 3

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Conversion of SR Flip Flop to JK and D Flip Flop

Conversion of Flip Flop

Introduction:

For the conversion of one type of flip flop into another type of flip flop, we are required to design a combinational circuit. The inputs of the required flip flop are given to this combinational circuit. The output of combinational circuit is nothing but the input of the actual flip flop which we are going to convert into another type. Then the output of the actual flip is the output of required flip flop.

Conversion of SR flip flop:

We can convert SR flip flop into JK and T type of flip flop.

1)      SR flip flop to JK flip flop:

Following figure shows the conversion table, K-maps, and Logic diagram for the conversion of SR flip flop to JK flip flop.

Conversion of SR Flip Flop to JK flip flop
Conversion Table

SR Flip Flop to JK Flip Flop 3

SR Flip Flop to JK Flip Flop 2
Logic Diagram

In this case we are required to convert SR flip flop into JK flip flop. Therefore we have to first design and connect the combinational circuit to the input of SR flip flop so that it will produce same outputs as that of JK flip flop. Here the external inputs are J and K. S and R will be the outputs of designed combinational circuit which are inputs of actual flip flop. We write a truth table with J, K, Qn, Qn+1, S and R. where Qn is the present state of the flip flop and Qn+1 will be the next state obtained when the particular J and K inputs are applied.

J, K and Qn can have eight combinations. For each combination of J, K and Qn find the corresponding Qn+1, i.e. determine to which next state the JK flip flop will go from the present state Qn if the present inputs J and K are applied. Now complete the table by writing the values of S and R required to get each Qn+1 from the corresponding Qn. i.e. write what values of S and R are required to change the state of the flip flop from Qn to Qn+1.

2)      SR flip flop to D flip flop:

Similarly for the conversion of SR flip flop into the D flip flop we have connect combinational circuit to the inputs of the SR flip flop. In this case D the external input of the circuit. The output of the combinational circuit is connected to the inputs of the actual flip flop i.e. SR flip flop. Then the output of this flip flop will be the same as D flip flop.

The conversion table, K-maps, and Logic diagram for the conversion of SR flip flop to D flip flop.

SR Flip Flop to D Flip Flop 1
Conversion Table
SR Flip Flop to D Flip Flop 3
K-Maps

SR Flip Flop to D Flip Flop 2Logic Diagram

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