Flip-flop Conversion – SR flip-flop to T flip-flop
Here you will see how to implement a T flip-flop from SR flip-flop step by step - "Flip-flop Conversion – SR flip-flop to T flip-flop"
Flip-flop Conversion – SR flip-flop to T flip-flop
Step 1: Write the truth table of the desired Flip Flop
Here the
desired flip-flop is T flip-flop
Hence
you need to write the truth table of T flip-flop which is
|
T |
QN |
QN+1 |
|
0 |
0 |
0 |
|
0 |
1 |
1 |
|
1 |
0 |
1 |
|
1 |
1 |
0 |
Step 2: Write the excitation table of the given Flip-Flop
In this
case the given flip-flop is SR flip-flop
Therefore
you need to write the excitation table of SR flip-flop which is
|
QN |
QN+1 |
S |
R |
|
0 |
0 |
0 |
X |
|
0 |
1 |
1 |
0 |
|
1 |
0 |
0 |
1 |
|
1 |
1 |
X |
0 |
Step 3: Write the conversion table
The conversion table, which is a combination of truth table and excitation table, to implement a T flip-flop from SR flip-flop is as follows
|
T |
QN |
QN+1 |
S |
R |
|
0 |
0 |
0 |
0 |
X |
|
0 |
1 |
1 |
X |
0 |
|
1 |
0 |
1 |
1 |
0 |
|
1 |
1 |
0 |
0 |
1 |
Step 4: Find the Boolean expressions for the inputs of the given flip-flop
In this
case the given flip-flop is SR.
Therefore,
write the Boolean expressions for S and R from the conversion table using
K-Maps.
K-Map
for S:
Expression
for S would be
S = T.QN/
Now,
K-Map for R:
Therefore,
Expression for R would be
R = T.QN
Step 5: Draw the circuit for implementing T flip-flop from SR flip-flop
For this
connect the S input of the given flip-flop i.e., SR flip-flop to T.QN/,
as obtained from the expression of S.
And
connect the R input of the SR flip-flop to T.QN, as obtained from
the expression of R.
Therefore,
the circuit would be:
In
this way a T flip-flop can be implemented using a SR flip-flop. Hope this post
on “Flip-flop Conversion – SR flip-flop to T flip-flop” would help in clearing
many doubts in flip-flop conversions.
Related Links:
- Flip-flop Conversion – SR flip-flop to JK flip-flop
- Flip-flop Conversion – SR flip-flop to D flip-flop
- Flip-flop Conversion – JK flip-flop to D flip-flop
- Flip-flop Conversion – D flip-flop to JK flip-flop
- Flip-flop Conversion – D flip-flop to SR flip-flop
- Flip-flop Conversion – JK flip-flop to SR flip-flop
- Flip-flop Conversion – JK flip-flop to T flip-flop
- Flip-flop Conversion – T flip-flop to D flip-flop
- Flip-flop Conversion – T flip-flop to SR flip-flop
- Flip flop Conversion – D flip-flop to T flip-flop
- Flip flop Conversion – T flip-flop to JK flip-flop
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