### Flip-flop Conversion – T flip-flop to SR flip-flop

Here you would see how to design SR flip-flop using T flip-flop step by step – "Flip-flop Conversion - T flip-flop to SR flip-flop".

__Flip-flop Conversion – T flip-flop to SR flip-flop__

### Step 1: Write the truth table of the required flip-flop

Here the required flip-flop is SR flip-flop

Hence you need to write the truth table of SR flip-flop which is

S |
R |
Q |
Q |

0 |
0 |
0 |
0 |

0 |
0 |
1 |
1 |

0 |
1 |
0 |
0 |

0 |
1 |
1 |
0 |

1 |
0 |
0 |
1 |

1 |
0 |
1 |
1 |

1 |
1 |
0 |
X |

1 |
1 |
1 |
X |

### Step 2: Write the excitation table of the given flip-flop

In this case the given flip-flop is T flip-flop

Therefore you need to write the excitation table of T flip-flop which is

Q |
Q |
T |

0 |
0 |
0 |

0 |
1 |
1 |

1 |
0 |
1 |

1 |
1 |
0 |

### Step 3: Write the conversion table

The conversion table, which is a combination of truth table and excitation table, to implement a SR flip-flop using T flip-flop is as follows

S |
R |
Q |
Q |
T |

0 |
0 |
0 |
0 |
0 |

0 |
0 |
1 |
1 |
0 |

0 |
1 |
0 |
0 |
0 |

0 |
1 |
1 |
0 |
1 |

1 |
0 |
0 |
1 |
1 |

1 |
0 |
1 |
1 |
0 |

1 |
1 |
0 |
X |
X |

1 |
1 |
1 |
X |
X |

### Step 4: Find the Boolean expressions for the inputs of the given flip-flop

In this case the given flip-flop is T flip-flop.

Therefore, write the Boolean expression for T from the conversion table using K-Maps.

K-Map for T:

Expression for T would be

T = RQ_{N} + SQ_{N}^{/}

### Step 5: Draw the circuit for implementing SR flip-flop from T flip-flop

For this, connect the input of the T flip-flop to the circuit of the Boolean expression for T.

Therefore, the circuit would be:

In this way a SR flip-flop can be realized using a T flip-flop. Hope this post on **“Flip-flop Conversion – T flip-flop to SR
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 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 – D flip-flop to T flip-flop
- Flip flop Conversion – SR flip-flop to T flip-flop
- Flip flop Conversion – T flip-flop to JK flip-flop
- Flip flop Conversion – D flip-flop to JK flip-flop

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