- Sequence Detector 1101
- 1010 Sequence Detector State Diagram
- Sequence Detector State Diagram
- 0110 Sequence Detector State Diagram
This post illustrates the circuit design of Sequence Detector for the pattern '1101'. State Machine diagram for the same Sequence Detector has been shown below. Click here to realize how we reach to the following state transition diagram.
Sequence Detector 1101
Click here to learn the step by step procedure of 'How to synthesize a state machine / How to boil down a state machine to the circuit level'.
1010 Sequence Detector State Diagram
Now as we have the state machine with us, the next step is to encode the states. For 4 states:
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StateEncoding
S0 00
Sequence Detector State Diagram
S1 01
S2 10
S3 11
We need only 2 flipflops to represent these 4 states. For this example we will be using T Flipflips to design the circuit.
- A sequence detector is a sequential state machine. In a Moore machine, output depends only on the present state and not dependent on the input (x). Hence in the diagram, the output is written with the states. The state diagram of a moore machine for a 101 detector is.
- February 27, 2012 ECE 152A - Digital Design Principles 3 Reading Assignment Roth 14 Derivation of State Graphs and Tables 14.1 Design of a Sequence Detector 14.2 More Complex Design Problems 14.2 Guidelines for Construction of State Graphs.
Let's draw the state transition table using the Excitation table of T flipflop
| PS Q2(t) Q1(t) Fl studio mobile windows download. | X Input | NS Frosted vellum wedding invitations. Q2(t+1) Q1(t+1) | Excite (T) T2 T1 | O Output |
| 0 0 | 0 | 0 0 | 0 0 | 0 |
| 0 0 | 1 | 0 1 | 0 1 | 0 |
| 0 1 | 0 | 1 0 | 1 1 | 0 |
| 0 1 | 1 | 0 1 | 0 0 | 0 |
| 1 0 | 0 | 0 0 | 1 0 | 0 |
| 1 0 | 1 | 1 1 | 0 1 | 0 |
| 1 1 | 0 | 1 0 | 0 1 | 0 |
| 1 1 | 1 | 0 1 | 1 0 | 1 |
Now to realize the combinational logic we have to find out the Boolean expression for 3 output variables (of the above table) T2, T1 and O in terms of 3 input variable Q2(t), Q1(t) and X.
| T2 | T1 |
| Y | Boolean Expressions |
| T2 = Q2′(t)Q1(t)X' + Q2(t)Q1′(t)X' + Q2(t)Q1(t)X T1 = Q1(t)X' + Q1′(t)X = Q1(t) ⊕ X O = Q2(t)Q1(t)X |
Let's draw the respective circuit diagram for the given Sequence Detector.
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0110 Sequence Detector State Diagram
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