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Truth table and unsimplified Boolean expression pls.

Truth table and unsimplified Boolean expression pls.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Truth table and unsimplified Boolean expression pls.
The diagram is a logic circuit combining two logic gates. Here's a detailed explanation: 1. **Inputs:** - There are three inputs to the circuit labeled A, B, and C. 2. **First Logic Gate:** - The first logic gate is a 3-input AND gate. It takes inputs A, B, and C. 3. **Output of First Gate:** - The output of the first AND gate serves as one of the inputs to the second logic gate. 4. **Second Logic Gate:** - The second gate is a 2-input AND gate. It receives the output from the first AND gate and input C directly. 5. **Output:** - The final output of the circuit is labeled Y. **Explanation:** The circuit functions by first processing inputs A, B, and C through an AND gate, which outputs a logic high only if all three inputs are high. This output, together with input C, is then fed into a second AND gate, which again outputs a logic high only if both of its inputs are high. Thus, for Y to be high, inputs A, B, and C must all be high simultaneously.
Transcribed Image Text:The diagram is a logic circuit combining two logic gates. Here's a detailed explanation: 1. **Inputs:** - There are three inputs to the circuit labeled A, B, and C. 2. **First Logic Gate:** - The first logic gate is a 3-input AND gate. It takes inputs A, B, and C. 3. **Output of First Gate:** - The output of the first AND gate serves as one of the inputs to the second logic gate. 4. **Second Logic Gate:** - The second gate is a 2-input AND gate. It receives the output from the first AND gate and input C directly. 5. **Output:** - The final output of the circuit is labeled Y. **Explanation:** The circuit functions by first processing inputs A, B, and C through an AND gate, which outputs a logic high only if all three inputs are high. This output, together with input C, is then fed into a second AND gate, which again outputs a logic high only if both of its inputs are high. Thus, for Y to be high, inputs A, B, and C must all be high simultaneously.
Expert Solution
Step 1

In this question, 

We need to determine the boolean expression of the given logic gates. 

We know 

Output of the AND gate Y= AB where A and B are inputs. 

 

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