Flipflops to be considered are:
- SR Flipflop
- JK Flipflop
- D Flipflop
- T Flipflop
SR Flipflop
Truth Table
| S | R | Q(t+1) |
| 0 | 0 | Q(t) |
| 0 | 1 | 0 |
| 1 | 0 | 1 |
| 1 | 1 | Invalid inputs |
Characteristic Equation
Q(t+1) = R'(t)Q(t) + S(t) ; S(t)R(t) = 0
Excitation Table
| Q(t) | Q(t+1) | S | R |
| 0 | 0 | 0 | x |
| 0 | 1 | 1 | 0 |
| 1 | 0 | 0 | 1 |
| 1 | 1 | x | 0 |
JK Flipflop
Truth Table
| J | K | Q(t+1) |
| 0 | 0 | Q(t) |
| 0 | 1 | 0 |
| 1 | 0 | 1 |
| 1 | 1 | Q'(t) |
Characteristic Equation
Q(t+1) = K'(t)Q(t) + J(t)Q'(t)
Excitation Table
| Q(t) | Q(t+1) | J | K |
| 0 | 0 | 0 | x |
| 0 | 1 | 1 | x |
| 1 | 0 | x | 1 |
| 1 | 1 | x | 0 |
D Flipflop
Truth Table
| D | Q(t+1) |
| 0 | 0 |
| 1 | 1 |
Characteristic Equation
Q(t+1) = D(t)
Excitation Table
| Q(t) | Q(t+1) | D |
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 0 |
| 1 | 1 | 1 |
T Flipflop
Truth Table
| T | Q(t+1) |
| 0 | Q(t) |
| 1 | Q'(t) |
Characteristic Equation
Q(t+1) = T'(t)Q(t) + T(t)Q'(t) = T(t) ⊕ Q(t)
Excitation Table
| Q(t) | Q(t+1) | T |
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |
12 comments for “Truth Tables, Characteristic Equations and Excitation Tables of Different Flipflops”