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Consider the positive edge triggered sequential circuit shown below. Fill in the waveforn for output Z in the timing diagram. nnnn D Q AL B C>C Z

Consider the positive edge triggered sequential circuit shown below. Fill in the waveforn for output Z in the timing diagram. nnnn D Q AL B C>C Z

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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**Problem 5: Analyzing a Sequential Circuit** **Objective:** Understand and interpret the given positive edge-triggered sequential circuit and complete the waveform for output Z in the associated timing diagram. **Circuit Description:** - The circuit consists of two inputs, A and B, which are fed into an AND gate. The output of the AND gate is connected to the D input of a D flip-flop. - The flip-flop is positive edge-triggered and receives a clock signal (C) as an additional input. The output of the flip-flop is labeled as Q, which is also the circuit output Z. **Timing Diagram:** - The timing diagram includes four signals: C (clock), A, B, and Z (output). - The clock signal (C) is shown as a series of square waves, indicating the rising and falling edges. - Input A and input B are shown as binary waveforms indicating high (1) and low (0) states at different times. - The task is to fill in the waveform for output Z based on inputs A, B, and the clock signal. **Procedure to Determine Output Z:** 1. Identify the positive edges of the clock signal (C) from the timing diagram. 2. Examine the states of A and B at each positive edge. 3. Compute the AND gate output (A AND B) at each positive edge. 4. Update the output Z at each positive clock edge using the result from the AND gate, storing it as the flip-flop state. **Note:** - The state of Z changes only at the positive edges of the clock, based on the current states of A and B as processed by the AND gate. - Z holds its state between clock edges since the flip-flop samples its input only on positive edges. Completing this exercise helps in understanding how sequential circuits, particularly those involving D flip-flops, operate based on clock signals and synchronous inputs.
Transcribed Image Text:**Problem 5: Analyzing a Sequential Circuit** **Objective:** Understand and interpret the given positive edge-triggered sequential circuit and complete the waveform for output Z in the associated timing diagram. **Circuit Description:** - The circuit consists of two inputs, A and B, which are fed into an AND gate. The output of the AND gate is connected to the D input of a D flip-flop. - The flip-flop is positive edge-triggered and receives a clock signal (C) as an additional input. The output of the flip-flop is labeled as Q, which is also the circuit output Z. **Timing Diagram:** - The timing diagram includes four signals: C (clock), A, B, and Z (output). - The clock signal (C) is shown as a series of square waves, indicating the rising and falling edges. - Input A and input B are shown as binary waveforms indicating high (1) and low (0) states at different times. - The task is to fill in the waveform for output Z based on inputs A, B, and the clock signal. **Procedure to Determine Output Z:** 1. Identify the positive edges of the clock signal (C) from the timing diagram. 2. Examine the states of A and B at each positive edge. 3. Compute the AND gate output (A AND B) at each positive edge. 4. Update the output Z at each positive clock edge using the result from the AND gate, storing it as the flip-flop state. **Note:** - The state of Z changes only at the positive edges of the clock, based on the current states of A and B as processed by the AND gate. - Z holds its state between clock edges since the flip-flop samples its input only on positive edges. Completing this exercise helps in understanding how sequential circuits, particularly those involving D flip-flops, operate based on clock signals and synchronous inputs.
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