Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Question

Give the Boolean expression for the output of the following circuit.

 

The given image is a logic circuit diagram composed of logic gates. The inputs to the circuit are labeled as X, Y, and Z. The output of the circuit is labeled as F(X, Y, Z).

### Diagram Explanation:

1. **Inputs:**
   - There are three inputs: X, Y, and Z.

2. **Logic Gates:**
   - **Three OR Gates:**
     - The first OR gate takes inputs X and Y.
     - The second OR gate takes inputs Y and Z.
     - The third OR gate takes inputs X and Z.
   - **AND Gate:**
     - The outputs of the three OR gates are fed into a single AND gate.

3. **Output:**
   - The output of the AND gate is labeled as F(X, Y, Z).

### Function Representation:
This circuit represents a function F(X, Y, Z) that is the AND operation of the outputs of three OR operations: `(X OR Y)`, `(Y OR Z)`, and `(X OR Z)`.
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Transcribed Image Text:The given image is a logic circuit diagram composed of logic gates. The inputs to the circuit are labeled as X, Y, and Z. The output of the circuit is labeled as F(X, Y, Z). ### Diagram Explanation: 1. **Inputs:** - There are three inputs: X, Y, and Z. 2. **Logic Gates:** - **Three OR Gates:** - The first OR gate takes inputs X and Y. - The second OR gate takes inputs Y and Z. - The third OR gate takes inputs X and Z. - **AND Gate:** - The outputs of the three OR gates are fed into a single AND gate. 3. **Output:** - The output of the AND gate is labeled as F(X, Y, Z). ### Function Representation: This circuit represents a function F(X, Y, Z) that is the AND operation of the outputs of three OR operations: `(X OR Y)`, `(Y OR Z)`, and `(X OR Z)`.
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