Consider the state machine below: CLK B' A' A B' J. B B A a) Is this a Moore or a Mealy machine? b) Find the next-state equations and output equation. B X N

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
icon
Related questions
Question
### State Machine Analysis

**Description:**

The figure depicts a state machine circuit. It consists of two JK flip-flops and logic gates that determine the behavior of the machine. The state machine is driven by a clock signal labeled `CLK`.

**Components:**

1. **JK Flip-Flops:**
   - **Flip-Flop (A):** Inputs are `J_A` and `K_A`. Outputs are `A` and `A'`.
   - **Flip-Flop (B):** Inputs are `J_B` and `K_B`. Outputs are `B` and `B'`.

2. **Logic Gates:**
   - **AND Gates:** Two AND gates are present:
     - The first AND gate takes inputs `A` and `X`, and outputs to `J_B`.
     - The second AND gate takes inputs `B'` and `X`, and outputs to `J_A`.
   - **OR Gate:** Takes inputs `B` and `X`, and outputs to a NOT gate, which produces output `Z`.

**Questions:**

a) **Determine the Type of Machine:**
   - **Moore Machine:** Outputs depend only on the current state.
   - **Mealy Machine:** Outputs depend on the current state and the current inputs.
   - Given that `Z` depends on both `B` and `X`, this is a **Mealy machine**.

b) **Find the Next-State Equations and Output Equation:**

   - **Next-State Equations:**
     - `J_A = B'X`
     - `K_A = 0` (not explicitly provided, implied by absence of connections) 
     - `J_B = AX`
     - `K_B = 0` (not explicitly provided, implied by absence of connections) 
   
   - **Output Equation:**
     - `Z = B + X`

This setup describes how the state transitions and output logic are determined by the circuit configuration.
Transcribed Image Text:### State Machine Analysis **Description:** The figure depicts a state machine circuit. It consists of two JK flip-flops and logic gates that determine the behavior of the machine. The state machine is driven by a clock signal labeled `CLK`. **Components:** 1. **JK Flip-Flops:** - **Flip-Flop (A):** Inputs are `J_A` and `K_A`. Outputs are `A` and `A'`. - **Flip-Flop (B):** Inputs are `J_B` and `K_B`. Outputs are `B` and `B'`. 2. **Logic Gates:** - **AND Gates:** Two AND gates are present: - The first AND gate takes inputs `A` and `X`, and outputs to `J_B`. - The second AND gate takes inputs `B'` and `X`, and outputs to `J_A`. - **OR Gate:** Takes inputs `B` and `X`, and outputs to a NOT gate, which produces output `Z`. **Questions:** a) **Determine the Type of Machine:** - **Moore Machine:** Outputs depend only on the current state. - **Mealy Machine:** Outputs depend on the current state and the current inputs. - Given that `Z` depends on both `B` and `X`, this is a **Mealy machine**. b) **Find the Next-State Equations and Output Equation:** - **Next-State Equations:** - `J_A = B'X` - `K_A = 0` (not explicitly provided, implied by absence of connections) - `J_B = AX` - `K_B = 0` (not explicitly provided, implied by absence of connections) - **Output Equation:** - `Z = B + X` This setup describes how the state transitions and output logic are determined by the circuit configuration.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
Computer Networking: A Top-Down Approach (7th Edi…
Computer Networking: A Top-Down Approach (7th Edi…
Computer Engineering
ISBN:
9780133594140
Author:
James Kurose, Keith Ross
Publisher:
PEARSON
Computer Organization and Design MIPS Edition, Fi…
Computer Organization and Design MIPS Edition, Fi…
Computer Engineering
ISBN:
9780124077263
Author:
David A. Patterson, John L. Hennessy
Publisher:
Elsevier Science
Network+ Guide to Networks (MindTap Course List)
Network+ Guide to Networks (MindTap Course List)
Computer Engineering
ISBN:
9781337569330
Author:
Jill West, Tamara Dean, Jean Andrews
Publisher:
Cengage Learning
Concepts of Database Management
Concepts of Database Management
Computer Engineering
ISBN:
9781337093422
Author:
Joy L. Starks, Philip J. Pratt, Mary Z. Last
Publisher:
Cengage Learning
Prelude to Programming
Prelude to Programming
Computer Engineering
ISBN:
9780133750423
Author:
VENIT, Stewart
Publisher:
Pearson Education
Sc Business Data Communications and Networking, T…
Sc Business Data Communications and Networking, T…
Computer Engineering
ISBN:
9781119368830
Author:
FITZGERALD
Publisher:
WILEY