) Determine the state-transition table ) Assign bits to to each state and determine the truth table :) Determine Boolean Algebra expressions for each state bit, and output 1) Design circuitry to perform the operation of the state-transition diagram

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Consider the following state-transition diagram given in Figure 5.29, with one input x, and one output F.

### Figure 5.29: State-Transition Diagram

#### Diagram Description:
The diagram consists of five states labeled as `a`, `b`, `c`, `d`, and `e`. Arrows between states indicate possible transitions. Each transition is labeled with an input/output format.

1. **From State `a`**:
   - Transition to `a` with input/output `0/0`.
   - Transition to `b` with input/output `0/0`.
   - Transition to `c` with input/output `1/0`.

2. **From State `b`**:
   - Transition to `c` with input/output `0/1`.
   - Transition to `e` with input/output `0/0`.

3. **From State `c`**:
   - Transition to `d` with input/output `1/1`.
   - Transition to `e` with input/output `0/0`.

4. **From State `d`**:
   - Transition to `a` with input/output `1/1`.
   - Transition to `c` with input/output `1/0`.

5. **From State `e`**:
   - Transition to `a` with input/output `0/0`.

#### Tasks:
(a) **Determine the state-transition table**: Create a table representing the transitions between states based on inputs and corresponding outputs.

(b) **Assign bits to each state and determine the truth table**: Allocate binary values to each state and construct a truth table to represent the transition logic.

(c) **Determine Boolean Algebra expressions for each state bit, and output**: Formulate Boolean expressions to define the conditions for transitions and outputs for each state.

(d) **Design circuitry to perform the operation of the state-transition diagram**: Develop a schematic or design logic circuits that implement the transitions depicted in the diagram.
Transcribed Image Text:### Figure 5.29: State-Transition Diagram #### Diagram Description: The diagram consists of five states labeled as `a`, `b`, `c`, `d`, and `e`. Arrows between states indicate possible transitions. Each transition is labeled with an input/output format. 1. **From State `a`**: - Transition to `a` with input/output `0/0`. - Transition to `b` with input/output `0/0`. - Transition to `c` with input/output `1/0`. 2. **From State `b`**: - Transition to `c` with input/output `0/1`. - Transition to `e` with input/output `0/0`. 3. **From State `c`**: - Transition to `d` with input/output `1/1`. - Transition to `e` with input/output `0/0`. 4. **From State `d`**: - Transition to `a` with input/output `1/1`. - Transition to `c` with input/output `1/0`. 5. **From State `e`**: - Transition to `a` with input/output `0/0`. #### Tasks: (a) **Determine the state-transition table**: Create a table representing the transitions between states based on inputs and corresponding outputs. (b) **Assign bits to each state and determine the truth table**: Allocate binary values to each state and construct a truth table to represent the transition logic. (c) **Determine Boolean Algebra expressions for each state bit, and output**: Formulate Boolean expressions to define the conditions for transitions and outputs for each state. (d) **Design circuitry to perform the operation of the state-transition diagram**: Develop a schematic or design logic circuits that implement the transitions depicted in the diagram.
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