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For each of the following circuits and input strings

For each of the following circuits and input strings

Computer Networking: A Top-Down Approach (7th Edition)
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...
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For each of the following circuits and input strings
i. Construct a state table (calling the states 00, 01, 10, 11).

ii. Show a timing trace for the values of the flip flops and the
output for as far as possible. Assume that the initial value of
each flip flop is 0.

iii. derive the next state equations for A and B

The image displays a digital logic circuit diagram featuring JK flip-flops and various logic gates, along with an input clock signal labeled "Clock." ### Circuit Description: 1. **Inputs and Outputs:** - `x`: Input signal. - `z`: Output signal. 2. **Logic Gates:** - The circuit uses an inverter (NOT gate), several AND gates, and an OR gate. - The NOT gate is connected directly to the input `x`. 3. **JK Flip-Flops:** - Two JK flip-flops (`A` and `B`) are used in the circuit. - Each flip-flop has inputs `J` and `K`, with outputs `A`, `A'` (for the first flip-flop), and `B`, `B'` (for the second flip-flop). 4. **Connections and Path:** - The output of the NOT gate is connected to one of the AND gates. - The flip-flop `A` receives a combination of signals including the primary input `x` and other terms from AND gates. - The output `A` is fed into the flip-flop `B` and combined with other signals through an AND gate. - The output signals from both flip-flops go through logic gates to compute the final output `z`. 5. **Clock Signal:** - The clock line shown across the bottom is active for control of the flip-flops, and it is synchronized with the binary sequence `x = 001100110`. ### Timing and Signal Analysis: - The bottom of the diagram provides the sequence for the `x` input over time: `001100110`. This indicates the state of input `x` across successive clock cycles. ### Purpose: This circuit appears to implement a sequence detector or a finite state machine, utilizing JK flip-flops to store state information and logic gates to process input into a desired output pattern or behavior. ### Educational Context: This diagram is typically used to teach concepts in digital electronics, particularly focusing on sequential logic circuits and the use of flip-flops in designing state machines. Understanding this kind of circuit is crucial for students working with digital systems and sequential logic design.
Transcribed Image Text:The image displays a digital logic circuit diagram featuring JK flip-flops and various logic gates, along with an input clock signal labeled "Clock." ### Circuit Description: 1. **Inputs and Outputs:** - `x`: Input signal. - `z`: Output signal. 2. **Logic Gates:** - The circuit uses an inverter (NOT gate), several AND gates, and an OR gate. - The NOT gate is connected directly to the input `x`. 3. **JK Flip-Flops:** - Two JK flip-flops (`A` and `B`) are used in the circuit. - Each flip-flop has inputs `J` and `K`, with outputs `A`, `A'` (for the first flip-flop), and `B`, `B'` (for the second flip-flop). 4. **Connections and Path:** - The output of the NOT gate is connected to one of the AND gates. - The flip-flop `A` receives a combination of signals including the primary input `x` and other terms from AND gates. - The output `A` is fed into the flip-flop `B` and combined with other signals through an AND gate. - The output signals from both flip-flops go through logic gates to compute the final output `z`. 5. **Clock Signal:** - The clock line shown across the bottom is active for control of the flip-flops, and it is synchronized with the binary sequence `x = 001100110`. ### Timing and Signal Analysis: - The bottom of the diagram provides the sequence for the `x` input over time: `001100110`. This indicates the state of input `x` across successive clock cycles. ### Purpose: This circuit appears to implement a sequence detector or a finite state machine, utilizing JK flip-flops to store state information and logic gates to process input into a desired output pattern or behavior. ### Educational Context: This diagram is typically used to teach concepts in digital electronics, particularly focusing on sequential logic circuits and the use of flip-flops in designing state machines. Understanding this kind of circuit is crucial for students working with digital systems and sequential logic design.
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