Present Next state Outp state w = 0 w = 1 Y2Y1 00 10 11 01 01 00 10 11 00

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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An FSM is defined by the state-assigned table in Figure P6.1. Derive a circuit that realizes this FSM using D flip-flops.

 

 

The graph below represents a State-assigned table for the problem.

The image depicts a state transition table for a sequential circuit. The table is organized into four columns:

1. **Present State (y₂y₁):**
   - Represents the current state of the system using two bits, y₂ and y₁.

2. **Next State (for w = 0) (Y₂Y₁):**
   - Shows the next state of the system when the input w is 0.

3. **Next State (for w = 1) (Y₂Y₁):**
   - Shows the next state of the system when the input w is 1.

4. **Output (z):**
   - Lists the output z for each present state.

The table details are as follows:

- **Present State 00:**
  - Next State with w = 0: 10
  - Next State with w = 1: 11
  - Output: 0

- **Present State 01:**
  - Next State with w = 0: 01
  - Next State with w = 1: 00
  - Output: 0

- **Present State 10:**
  - Next State with w = 0: 11
  - Next State with w = 1: 00
  - Output: 0

- **Present State 11:**
  - Next State with w = 0: 10
  - Next State with w = 1: 01
  - Output: 1

This table is typically used in the design and analysis of state machines, aiding in understanding how the system transitions between states based on input and what output is generated.
Transcribed Image Text:The image depicts a state transition table for a sequential circuit. The table is organized into four columns: 1. **Present State (y₂y₁):** - Represents the current state of the system using two bits, y₂ and y₁. 2. **Next State (for w = 0) (Y₂Y₁):** - Shows the next state of the system when the input w is 0. 3. **Next State (for w = 1) (Y₂Y₁):** - Shows the next state of the system when the input w is 1. 4. **Output (z):** - Lists the output z for each present state. The table details are as follows: - **Present State 00:** - Next State with w = 0: 10 - Next State with w = 1: 11 - Output: 0 - **Present State 01:** - Next State with w = 0: 01 - Next State with w = 1: 00 - Output: 0 - **Present State 10:** - Next State with w = 0: 11 - Next State with w = 1: 00 - Output: 0 - **Present State 11:** - Next State with w = 0: 10 - Next State with w = 1: 01 - Output: 1 This table is typically used in the design and analysis of state machines, aiding in understanding how the system transitions between states based on input and what output is generated.
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