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Problem_#07] Develop the timing diagram for the synchronous counter shown below. HIGH Ko K1 K2 K, K4 CIK-

Problem_#07] Develop the timing diagram for the synchronous counter shown below. HIGH Ko K1 K2 K, K4 CIK-

Introductory Circuit Analysis (13th Edition)
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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**Problem #07** Develop the timing diagram for the synchronous counter shown below. ### Explanation of the Diagram: This synchronous counter diagram consists of five flip-flops, labeled from left to right as \( J_0K_0 \), \( J_1K_1 \), \( J_2K_2 \), \( J_3K_3 \), and \( J_4K_4 \). Each flip-flop receives clock input from a shared clock line labeled as CLK. - **Flip-Flops:** Each flip-flop is depicted as a box with a J and K input, and a clock input labeled "C". The outputs of each flip-flop are labeled \( Q_1 \), \( Q_2 \), \( Q_3 \), \( Q_4 \), and \( Q_5 \), respectively. - **Logic Gates:** The connections between the flip-flops include logic gates. - The first and second flip-flops' outputs are connected to an AND gate, which then feeds into the \( J_1K_1 \) flip-flop. - The outputs of subsequent flip-flops are interconnected, implying cascading logic where the output of one flip-flop links to the next stage, with AND gates facilitating these connections. - **Clock Signal (CLK):** There is a single clock line at the bottom of the diagram, indicating that all flip-flops receive the same clock pulse simultaneously, which is a key feature of synchronous counters. - **Outputs:** The diagram designates outputs at each stage, showing how each Q output from the preceding flip-flop serves as part of the input logic for subsequent stages. ### Purpose: The task is to develop a timing diagram. This involves plotting the output states (\( Q_1 \) to \( Q_5 \)) over several clock cycles to illustrate how the counter progresses through its binary counting sequence. Synchronous counters, such as this one, change states in sync with the clock pulses.
Transcribed Image Text:**Problem #07** Develop the timing diagram for the synchronous counter shown below. ### Explanation of the Diagram: This synchronous counter diagram consists of five flip-flops, labeled from left to right as \( J_0K_0 \), \( J_1K_1 \), \( J_2K_2 \), \( J_3K_3 \), and \( J_4K_4 \). Each flip-flop receives clock input from a shared clock line labeled as CLK. - **Flip-Flops:** Each flip-flop is depicted as a box with a J and K input, and a clock input labeled "C". The outputs of each flip-flop are labeled \( Q_1 \), \( Q_2 \), \( Q_3 \), \( Q_4 \), and \( Q_5 \), respectively. - **Logic Gates:** The connections between the flip-flops include logic gates. - The first and second flip-flops' outputs are connected to an AND gate, which then feeds into the \( J_1K_1 \) flip-flop. - The outputs of subsequent flip-flops are interconnected, implying cascading logic where the output of one flip-flop links to the next stage, with AND gates facilitating these connections. - **Clock Signal (CLK):** There is a single clock line at the bottom of the diagram, indicating that all flip-flops receive the same clock pulse simultaneously, which is a key feature of synchronous counters. - **Outputs:** The diagram designates outputs at each stage, showing how each Q output from the preceding flip-flop serves as part of the input logic for subsequent stages. ### Purpose: The task is to develop a timing diagram. This involves plotting the output states (\( Q_1 \) to \( Q_5 \)) over several clock cycles to illustrate how the counter progresses through its binary counting sequence. Synchronous counters, such as this one, change states in sync with the clock pulses.
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