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following function. F = (B+ D)(A+C+D)(A+B+D)

following function. F = (B+ D)(A+C+D)(A+B+D)

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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**Solving Hazards with Redundant Sum Terms** To address signal hazards in digital logic design, redundant sum terms can be strategically added. Consider the following logic function: \[ F = (B + D)(A + \overline{C} + D)(A + \overline{B} + \overline{D}) \] **Understanding the Components:** 1. **Terms and Variables:** - \( B, D, A, \overline{C}, \overline{B}, \overline{D} \) are variables or their complements. - The expression contains three sets of terms combined using OR and AND operations. 2. **Objective:** - To add redundant terms that do not change the logical outcome but eliminate transitional glitches known as hazards. **Approach:** - Identify points where the output might change unexpectedly due to race conditions. - Introduce additional terms to ensure smoother transitions across all input changes, thereby stabilizing the output. By carefully adding specific redundant terms tailored to the circuit, we can effectively mitigate hazards and improve circuit reliability.
Transcribed Image Text:**Solving Hazards with Redundant Sum Terms** To address signal hazards in digital logic design, redundant sum terms can be strategically added. Consider the following logic function: \[ F = (B + D)(A + \overline{C} + D)(A + \overline{B} + \overline{D}) \] **Understanding the Components:** 1. **Terms and Variables:** - \( B, D, A, \overline{C}, \overline{B}, \overline{D} \) are variables or their complements. - The expression contains three sets of terms combined using OR and AND operations. 2. **Objective:** - To add redundant terms that do not change the logical outcome but eliminate transitional glitches known as hazards. **Approach:** - Identify points where the output might change unexpectedly due to race conditions. - Introduce additional terms to ensure smoother transitions across all input changes, thereby stabilizing the output. By carefully adding specific redundant terms tailored to the circuit, we can effectively mitigate hazards and improve circuit reliability.
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