Q For the circuit below, Choose the correct Boolean expression A, B, C, or D. A. Boolean equation A B. Boolean equation B C. Boolean equation C D. Boolean equation D A) Y = ABC + BC B) Y = ABC + B C C) Y = ABC + BC D) Y = ABC + BC
Q For the circuit below, Choose the correct Boolean expression A, B, C, or D. A. Boolean equation A B. Boolean equation B C. Boolean equation C D. Boolean equation D A) Y = ABC + BC B) Y = ABC + B C C) Y = ABC + BC D) Y = ABC + BC
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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Question
![**Question:**
For the circuit below, choose the correct Boolean expression A, B, C, or D.
**[Image Description]**
The image consists of a digital logic circuit diagram followed by multiple-choice options for Boolean expressions.
The diagram includes the following components:
1. **Inputs:** Three inputs labeled A, B, and C.
2. **Logic Gates:**
- An AND gate is connected to inputs A and B. Its output is connected to the input of a NOT gate.
- Another AND gate is connected directly to input B and the output of the previous NOT gate.
- An OR gate takes inputs from the output of this AND gate and directly from input C.
3. **Output:** The final output is labeled Y.
**Boolean Equation Options:**
- **A)**
\[
\overline{A} \, \overline{B} \, \overline{C} \quad Y = \overline{A} B C + B C
\]
- **B)**
\[
\overline{A} \, \overline{B} \, \overline{C} \, \overline{C} \quad Y = \overline{A} B C + \overline{B} C
\]
- **C)**
\[
\overline{A} \, \overline{B} \, \overline{C} \quad Y = A \overline{B} C + B C
\]
- **D)**
\[
\overline{A} \, \overline{C} \quad Y = A B \overline{C} + B C
\]
Select the option that correctly represents the behavior of the circuit.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F07cc5ae8-ebd5-48b9-a6b3-b9faab3d6b8e%2F98eacbf4-1da4-4cd3-b2e6-37a7dae268ee%2Fm6a6gu_processed.png&w=3840&q=75)
Transcribed Image Text:**Question:**
For the circuit below, choose the correct Boolean expression A, B, C, or D.
**[Image Description]**
The image consists of a digital logic circuit diagram followed by multiple-choice options for Boolean expressions.
The diagram includes the following components:
1. **Inputs:** Three inputs labeled A, B, and C.
2. **Logic Gates:**
- An AND gate is connected to inputs A and B. Its output is connected to the input of a NOT gate.
- Another AND gate is connected directly to input B and the output of the previous NOT gate.
- An OR gate takes inputs from the output of this AND gate and directly from input C.
3. **Output:** The final output is labeled Y.
**Boolean Equation Options:**
- **A)**
\[
\overline{A} \, \overline{B} \, \overline{C} \quad Y = \overline{A} B C + B C
\]
- **B)**
\[
\overline{A} \, \overline{B} \, \overline{C} \, \overline{C} \quad Y = \overline{A} B C + \overline{B} C
\]
- **C)**
\[
\overline{A} \, \overline{B} \, \overline{C} \quad Y = A \overline{B} C + B C
\]
- **D)**
\[
\overline{A} \, \overline{C} \quad Y = A B \overline{C} + B C
\]
Select the option that correctly represents the behavior of the circuit.
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