1. Design a digital logic circuit (all steps are required), using minimal amount of gates, that will realize a digital logic circuit corresponding to the following A097803 polyno- mial: A=3(2x²+1), with input (x): 0≤ (x) ≤7 (a) Set-up the truth-table [Binary inputs: (r); Binary outputs: A₁, A2, A3, A4, ...] (b) Derive the output expressions (c) Simplify (optimally) the derived expressions, USING ONLY K-Maps (d) Implement the simplified digital logic circuit
1. Design a digital logic circuit (all steps are required), using minimal amount of gates, that will realize a digital logic circuit corresponding to the following A097803 polyno- mial: A=3(2x²+1), with input (x): 0≤ (x) ≤7 (a) Set-up the truth-table [Binary inputs: (r); Binary outputs: A₁, A2, A3, A4, ...] (b) Derive the output expressions (c) Simplify (optimally) the derived expressions, USING ONLY K-Maps (d) Implement the simplified digital logic circuit
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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computer science, digital logic.
![1. Design a digital logic circuit (all steps are required), using minimal amount of gates,
that will realize a digital logic circuit corresponding to the following A097803 polyno-
mial:
A = 3(2x²+1), with input (x): 0≤ (x) ≤7
(a) Set-up the truth-table
[Binary inputs: (r); Binary outputs: A₁, A2, A3, A4, ...]
(b) Derive the output expressions
(c) Simplify (optimally) the derived expressions, USING ONLY K-Maps
(d) Implement the simplified digital logic circuit](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F80090cb1-02c8-402e-a7d8-664cebdf1504%2Fa2575746-742e-44df-aed3-fbdc3555ad09%2F7abjgp_processed.png&w=3840&q=75)
Transcribed Image Text:1. Design a digital logic circuit (all steps are required), using minimal amount of gates,
that will realize a digital logic circuit corresponding to the following A097803 polyno-
mial:
A = 3(2x²+1), with input (x): 0≤ (x) ≤7
(a) Set-up the truth-table
[Binary inputs: (r); Binary outputs: A₁, A2, A3, A4, ...]
(b) Derive the output expressions
(c) Simplify (optimally) the derived expressions, USING ONLY K-Maps
(d) Implement the simplified digital logic circuit
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