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What is the output of the circuit for the input values given? P OR OR S AND NOT R input signals: P = 0, Q = 0, R= 0

What is the output of the circuit for the input values given? P OR OR S AND NOT R input signals: P = 0, Q = 0, R= 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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What is the output of the circuit for the input values given? (SEE IMAGE)

 

**Title: Circuit Analysis for Given Input Values** **Question:** 9. What is the output of the circuit for the input values given? **Input Signals:** - \( P = 0 \) - \( Q = 0 \) - \( R = 0 \) **Circuit Description:** The circuit consists of three main logic gates: two OR gates, one AND gate, and one NOT gate. 1. **First OR Gate:** - Inputs: \( P \) and \( Q \) - The output will be high (1) if either \( P \) or \( Q \) is high. 2. **AND Gate:** - Inputs: \( Q \) and \( R \) - The output will be high (1) only if both \( Q \) and \( R \) are high. 3. **NOT Gate:** - Input: Output of the AND gate - Inverts the input signal. If the output of the AND gate is 0, the NOT gate will output 1, and vice versa. 4. **Second OR Gate:** - Inputs: Output of the first OR gate and output of the NOT gate - The output will be high (1) if either input is high. **Analysis:** - For the given input signals \( P = 0 \), \( Q = 0 \), \( R = 0 \): - The first OR gate receives inputs 0 and 0, so its output is 0. - The AND gate receives inputs 0 and 0, so its output is 0. - The NOT gate inverts the AND gate's output, changing 0 to 1. - The second OR gate receives inputs 0 (from the first OR gate) and 1 (from the NOT gate), resulting in an output of 1. **Output:** The output \( S \) for the input values given is 1.
Transcribed Image Text:**Title: Circuit Analysis for Given Input Values** **Question:** 9. What is the output of the circuit for the input values given? **Input Signals:** - \( P = 0 \) - \( Q = 0 \) - \( R = 0 \) **Circuit Description:** The circuit consists of three main logic gates: two OR gates, one AND gate, and one NOT gate. 1. **First OR Gate:** - Inputs: \( P \) and \( Q \) - The output will be high (1) if either \( P \) or \( Q \) is high. 2. **AND Gate:** - Inputs: \( Q \) and \( R \) - The output will be high (1) only if both \( Q \) and \( R \) are high. 3. **NOT Gate:** - Input: Output of the AND gate - Inverts the input signal. If the output of the AND gate is 0, the NOT gate will output 1, and vice versa. 4. **Second OR Gate:** - Inputs: Output of the first OR gate and output of the NOT gate - The output will be high (1) if either input is high. **Analysis:** - For the given input signals \( P = 0 \), \( Q = 0 \), \( R = 0 \): - The first OR gate receives inputs 0 and 0, so its output is 0. - The AND gate receives inputs 0 and 0, so its output is 0. - The NOT gate inverts the AND gate's output, changing 0 to 1. - The second OR gate receives inputs 0 (from the first OR gate) and 1 (from the NOT gate), resulting in an output of 1. **Output:** The output \( S \) for the input values given is 1.
Expert Solution
Step 1

We have given inputs P=0, Q=0, R=0, 

From circuit using

 OR, AND, NOT gates we will get required output. 

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