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A B C D w1 w3 w2 w4 X Y a) Determine Boolean functions for intermediate outputs w1,w2,w3, and w4 as well as the output signals X and Y. b) Construct a truth table showing the intermediate outputs w1,w2,w3, and w4 as well as the output signals X and Y. c) Use K-maps to find simplified expressions for X and Y.

A B C D w1 w3 w2 w4 X Y a) Determine Boolean functions for intermediate outputs w1,w2,w3, and w4 as well as the output signals X and Y. b) Construct a truth table showing the intermediate outputs w1,w2,w3, and w4 as well as the output signals X and Y. c) Use K-maps to find simplified expressions for X and Y.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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**Problem 1** **a)** Determine Boolean functions for intermediate outputs w1, w2, w3, and w4 as well as the output signals X and Y. **b)** Construct a truth table showing the intermediate outputs w1, w2, w3, and w4 as well as the output signals X and Y. **c)** Use K-maps to find simplified expressions for X and Y. **Diagram Explanation:** The diagram is a logic circuit comprising several gates and signals. Here’s a detailed breakdown: - **Inputs**: The signals are identified as A, B, C, and D. - **Intermediate Outputs**: Labeled as w1, w2, w3, and w4. - **Output Signals**: Labeled as X and Y. **Logic Gates**: - There are AND, OR, and NOT (inverter) gates used in this circuit. - **w1**: The output of an AND gate receiving inputs from B and C. - **w2**: The output of a NOT gate (inverter) receiving input from D. - **w3**: The output of a NOT gate (inverter) receiving input from A and B passed through an AND gate. - **w4**: The output of an OR gate receiving inputs from w1 and D. - **X**: The output from combining w3 using a final AND gate and passing through another inverter for X's final output. - **Y**: Resulting directly from w2 passing through a connected gate configuration involving other intermediates. **Steps**: 1. Calculate Boolean functions for intermediates. 2. Construct a truth table listing all possible input combinations and resulting outputs. 3. Use Karnaugh maps (K-maps) to simplify Boolean expressions for final outputs X and Y.
Transcribed Image Text:**Problem 1** **a)** Determine Boolean functions for intermediate outputs w1, w2, w3, and w4 as well as the output signals X and Y. **b)** Construct a truth table showing the intermediate outputs w1, w2, w3, and w4 as well as the output signals X and Y. **c)** Use K-maps to find simplified expressions for X and Y. **Diagram Explanation:** The diagram is a logic circuit comprising several gates and signals. Here’s a detailed breakdown: - **Inputs**: The signals are identified as A, B, C, and D. - **Intermediate Outputs**: Labeled as w1, w2, w3, and w4. - **Output Signals**: Labeled as X and Y. **Logic Gates**: - There are AND, OR, and NOT (inverter) gates used in this circuit. - **w1**: The output of an AND gate receiving inputs from B and C. - **w2**: The output of a NOT gate (inverter) receiving input from D. - **w3**: The output of a NOT gate (inverter) receiving input from A and B passed through an AND gate. - **w4**: The output of an OR gate receiving inputs from w1 and D. - **X**: The output from combining w3 using a final AND gate and passing through another inverter for X's final output. - **Y**: Resulting directly from w2 passing through a connected gate configuration involving other intermediates. **Steps**: 1. Calculate Boolean functions for intermediates. 2. Construct a truth table listing all possible input combinations and resulting outputs. 3. Use Karnaugh maps (K-maps) to simplify Boolean expressions for final outputs X and Y.
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