Conversion of SR Flip flop to T Flip flop

Here we see conversion of SR Flip flop to T Flip flop by some simple steps.In my earlier post I discussed on conversion of an SR Flip flop to a JK Flip flop and as we know earlier SR Flip flop is a basic flip flop and we can made any flip flop just using SR flip flop. 

So before we start conversion of an SR Flip flop to a T Flip flop, we should know about SR flip-flop and T flip-flop. And we have to find out what are the similarity between them.

S-R (Set-Reset) Flip-flop

An S-R fl ip-fl op has two inputs named Set (S) and Reset (R), and two outputs Q and Q’. The outputs are complement of each other, i.e., if one of the outputs is 0 then the other should be 1. This can be implemented using NAND or NOR gates.

An S-R flip-flop can be constructed with NOR gates at ease by connecting the NOR gates back to back. The cross-coupled connections from the output of gate 1 to the input of gate 2 constitute a feedback path. This circuit is not clocked and is classified as an asynchronous sequential circuit.

The truth table for the S-R flip-flop based on a NOR gate is shown in the table in bellow.

T FLIP-FLOP

With a slight modifi cation of a J-K flip-flop, we can construct a new flip-flop called a T flip-flop. If the two inputs J and K of a J-K flip-flop are tied together it is referred to as a T flip-flop. Hence, a T flip-flop has only one input T and two outputs Q and Q’. The name T flip-flop actually indicates the fact that the flip-flop has the ability to toggle. It has actually only two states—toggle state and memory state. Since there are only two states, a T flip-flop is a very good option to use in counter design and in sequential circuits design where switching an operation is required.

The truth table of a T fl ip-fl op is given bellow.

Now question is how Conversion of SR Flip flop to T Flip flop done?

We can do it easily by some steps which is discussed bellow.

Step 1 :

For conversion of SR Flip flop to T Flip at first we have to make combine truth table for SR flip flop and T Flip Flop. In bellow see the combine truth table of SR flip flop and T Flip Flop.

From above truth table we can understand that what are those different inputs of T flip flop and SR flip flop, we need to get the output Q.

Step 2:  

Now from above truth table we can draw the Karnaugh map for input S and R. Then we can easily get the relation between SR with T. For that see bellow

Now from this above Karnaugh map we get the relation S = TQ^ and R = TQ.

Step 3:

Now as per the relation of S R with T flip flop from Karnaugh map we can easily build T Flip Flop using S R Flip Flop.

 So by above mansion steps how easily we examine Conversion of SR Flip flop to T Flip flop