As up and coming digital designers, you are tasked with tracking the efficiency of a new food delivery robot at a restaurant. The job is to design a digital logic circuit that notifies you when the robot is not working fast enough and needs to be inspected. For the sake of simplicity, this robot will deliver food to four tables (Tables A, B, C, and D) placed in alphabetical order and each a few inches from (adjacent to) the next. Each of the tables can only accommodate ONE person for dining. To keep the restaurant ratings high, no more than two customers can be hungry at the same time. To avoid gossip about slow service, no customers sitting at tables next to (adjacent to) each other can be hungry at the same time. An example is - Table A is hungry, Table B is hungry, and Table C and D are not hungry - this will result in a notification that an inspection of the robot is needed. However, if Table A and C are hungry, the robot will not need to be inspected because the tables are not next to each other, and less than three customers are hungry. This digital logic circuit that you will be designing will have a single output LED (you can choose any output on the DEB) which will light up as soon as the robot needs to be inspected. You can assign tables A, B, C, D, as IN3, IN2, IN1, INO as well. Use an input of 0 as "hungry" and an input of 1 as "not hungry". Table A Table B Table C Table D a) Draw the truth table describing the functionality of this digital logic block. b) Find the minimal sum-of-products equation for the output using any method of your choosing. Show all work. c) Find the minimal product-of-sums equation for the output using any method of your choosing. Show all work.
As up and coming digital designers, you are tasked with tracking the efficiency of a new food delivery robot at a restaurant. The job is to design a digital logic circuit that notifies you when the robot is not working fast enough and needs to be inspected. For the sake of simplicity, this robot will deliver food to four tables (Tables A, B, C, and D) placed in alphabetical order and each a few inches from (adjacent to) the next. Each of the tables can only accommodate ONE person for dining. To keep the restaurant ratings high, no more than two customers can be hungry at the same time. To avoid gossip about slow service, no customers sitting at tables next to (adjacent to) each other can be hungry at the same time. An example is - Table A is hungry, Table B is hungry, and Table C and D are not hungry - this will result in a notification that an inspection of the robot is needed. However, if Table A and C are hungry, the robot will not need to be inspected because the tables are not next to each other, and less than three customers are hungry. This digital logic circuit that you will be designing will have a single output LED (you can choose any output on the DEB) which will light up as soon as the robot needs to be inspected. You can assign tables A, B, C, D, as IN3, IN2, IN1, INO as well. Use an input of 0 as "hungry" and an input of 1 as "not hungry". Table A Table B Table C Table D a) Draw the truth table describing the functionality of this digital logic block. b) Find the minimal sum-of-products equation for the output using any method of your choosing. Show all work. c) Find the minimal product-of-sums equation for the output using any method of your choosing. Show all work.
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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Step 1: Summarize the given information.
VIEWStep 2: Choosing the input and output variables.
VIEWStep 3: Constructing the truth table.
VIEWStep 4: Constructing the K-map and finding the minimal sum of products equation for the output.
VIEWStep 5: Constructing the K-map and finding the minimal sum of products equation for the output.
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