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For the logic diagram provided, give the logic expression for the output F. 35ns 25ns 5ns 25ns F-( (A-B-C)' · (B-C')' Y

For the logic diagram provided, give the logic expression for the output F. 35ns 25ns 5ns 25ns F-( (A-B-C)' · (B-C')' 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
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For the logic diagram provided, determine the logic expression for the output F. ### Logic Diagram The diagram consists of three logic gates: 1. **AND Gate** (top left): - Inputs: A, B, C - Delay: 35 ns 2. **NOT Gate**: - Input: B - Output goes into the OR gate and another AND gate - Delay: 5 ns 3. **AND Gate** (bottom): - Inputs: B' (output from NOT gate), C - Delay: 25 ns 4. **OR Gate** (center): - Inputs: Outputs from the two AND gates - Delay: 25 ns - Output: F ### Logic Expression Options - \( F = (A \cdot B \cdot C') \cdot (B \cdot C)' \) - \( F = (A' \cdot B' \cdot C' + B' \cdot C)' \) - \( F = (A \cdot B \cdot C \cdot B' \cdot C')' \) - \( F = (A \cdot B \cdot C') + (B \cdot C')' \) ### Explanation Select the correct logic expression based on the diagram and the listed options. The total delay is measured from the path with the greatest cumulative gate delay, which affects the timing performance of the circuit.
Transcribed Image Text:For the logic diagram provided, determine the logic expression for the output F. ### Logic Diagram The diagram consists of three logic gates: 1. **AND Gate** (top left): - Inputs: A, B, C - Delay: 35 ns 2. **NOT Gate**: - Input: B - Output goes into the OR gate and another AND gate - Delay: 5 ns 3. **AND Gate** (bottom): - Inputs: B' (output from NOT gate), C - Delay: 25 ns 4. **OR Gate** (center): - Inputs: Outputs from the two AND gates - Delay: 25 ns - Output: F ### Logic Expression Options - \( F = (A \cdot B \cdot C') \cdot (B \cdot C)' \) - \( F = (A' \cdot B' \cdot C' + B' \cdot C)' \) - \( F = (A \cdot B \cdot C \cdot B' \cdot C')' \) - \( F = (A \cdot B \cdot C') + (B \cdot C')' \) ### Explanation Select the correct logic expression based on the diagram and the listed options. The total delay is measured from the path with the greatest cumulative gate delay, which affects the timing performance of the circuit.
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