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)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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**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.
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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