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* x 10 20 1 31 0 4 1 1 X O B (A') n Inputs of OR Gate Inputs of NANA Gate SR Next State A Q RQ A B

* x 10 20 1 31 0 4 1 1 X O B (A') n Inputs of OR Gate Inputs of NANA Gate SR Next State A Q RQ A B

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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1) Complete the characteristic table for the sequential circuit shown below. 
    You need to show your reasoning for the answers.

**Flip-Flop Circuit Analysis and Truth Table** --- In digital electronics, flip-flops are fundamental building blocks used for memory storage and are essential components in sequential logic circuits. This example focuses on understanding the operation of a simple flip-flop circuit using a truth table and a logic diagram. ### Truth Table | # | x | A | B (A') | Inputs of OR Gate | Inputs of NAND Gate | S | R | Next State A | |----|---|---|--------|-------------------|---------------------|---|---|--------------| | 1 | 0 | 0 | | | | | | | | 2 | 0 | 1 | | | | | | | | 3 | 1 | 0 | | | | | | | | 4 | 1 | 1 | | | | | | | ### Logic Diagram Explanation The logic diagram provided depicts a simple flip-flop circuit comprising logic gates and an SR (Set-Reset) latch. 1. **Inputs and Outputs:** - **x:** External input signal. - **A:** Current state. - **B (A')**: Complement of A (A'). - **Next State A:** Outputs to show the next state based on inputs and current state. 2. **Logic Gates:** - **OR Gate**: Takes inputs from x and the current state to contribute to the setting conditions. - **NAND Gate:** Interacts with both current state and x to determine the resetting condition. 3. **SR Latch:** - Inputs: **S** (Set) and **R** (Reset). - Outputs: **Q** (A) and **Q'** (A'). The following steps provide a step-by-step operation of the circuit: 1. An external clock pulse (as partially shown in the timing diagram with a square waveform) controls the state changes. 2. When the input **x** and the current state **A** are applied, the signals first pass through the OR and NAND gates, which help define the Set (S) and Reset (R) conditions correspondingly. 3. Based on the outputs of these gates, the SR latch changes its state accordingly, storing the next state and making the circuit a memory
Transcribed Image Text:**Flip-Flop Circuit Analysis and Truth Table** --- In digital electronics, flip-flops are fundamental building blocks used for memory storage and are essential components in sequential logic circuits. This example focuses on understanding the operation of a simple flip-flop circuit using a truth table and a logic diagram. ### Truth Table | # | x | A | B (A') | Inputs of OR Gate | Inputs of NAND Gate | S | R | Next State A | |----|---|---|--------|-------------------|---------------------|---|---|--------------| | 1 | 0 | 0 | | | | | | | | 2 | 0 | 1 | | | | | | | | 3 | 1 | 0 | | | | | | | | 4 | 1 | 1 | | | | | | | ### Logic Diagram Explanation The logic diagram provided depicts a simple flip-flop circuit comprising logic gates and an SR (Set-Reset) latch. 1. **Inputs and Outputs:** - **x:** External input signal. - **A:** Current state. - **B (A')**: Complement of A (A'). - **Next State A:** Outputs to show the next state based on inputs and current state. 2. **Logic Gates:** - **OR Gate**: Takes inputs from x and the current state to contribute to the setting conditions. - **NAND Gate:** Interacts with both current state and x to determine the resetting condition. 3. **SR Latch:** - Inputs: **S** (Set) and **R** (Reset). - Outputs: **Q** (A) and **Q'** (A'). The following steps provide a step-by-step operation of the circuit: 1. An external clock pulse (as partially shown in the timing diagram with a square waveform) controls the state changes. 2. When the input **x** and the current state **A** are applied, the signals first pass through the OR and NAND gates, which help define the Set (S) and Reset (R) conditions correspondingly. 3. Based on the outputs of these gates, the SR latch changes its state accordingly, storing the next state and making the circuit a memory
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