As up and coming digital designers, you are tasked with a project for the current times and upcoming elections. The job is to design a digital logic circuit that will allow voting booths to accommodate social distancing. For the sake of simplicity, this voting booth will have 4 voting stations placed in alphabetical order and each a few inches (adjacent to) the next. Each of the voting stations can only accommodate ONE person for voting. Due to social distancing measures placed, at a given time, no 2 adjacent voting stations may be occupied with a person. An example is - voting station A has a person, voting station B has a person, and voting station C and D do not- this will be a violation as voting station A and B are both adjacent and have people voting. If, however, for instance it was A and C that had people voting and B and D were empty, that would successfully abide by the rules. 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 these voting booth/social distancing restrictions violated. You can assign A, B, C, D, as IN3, IN2, IN1, INO as well.

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As up and coming digital designers, you are tasked with a project for the current times and upcoming
elections. The job is to design a digital logic circuit that will allow voting booths to accommodate social
distancing. For the sake of simplicity, this voting booth will have 4 voting stations placed in alphabetical
order and each a few inches (adjacent to) the next. Each of the voting stations can only accommodate
ONE person for voting. Due to social distancing measures placed, at a given time, no 2 adjacent voting
stations may be occupied with a person. An example is - voting station A has a person, voting station B
has a person, and voting station C and D do not- this will be a violation as voting station A and B are
both adjacent and have people voting. If, however, for instance it was A and C that had people voting
and B and D were empty, that would successfully abide by the rules. 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 these voting booth/social distancing restrictions violated. You can assign A, B, C, D, as IN3, IN2,
IN1, INO as well.
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
d) Assume that the logic gates used have the same cost and performance metrics per gate. Is there any
design advantage to using the prototype from (b) or (c)? Explain why or why not.
e) Build and demonstrate the circuit that will accomplish the task. If your last name starts with an ODD
letter of the alphabet (i.e. A, C, E, G, I, etc.) your prototype will be of part B. If your last name starts with
an EVEN letter of the alphabet (i.e. B, D, F, H, J, etc.) your prototype will be of part C.
Transcribed Image Text:As up and coming digital designers, you are tasked with a project for the current times and upcoming elections. The job is to design a digital logic circuit that will allow voting booths to accommodate social distancing. For the sake of simplicity, this voting booth will have 4 voting stations placed in alphabetical order and each a few inches (adjacent to) the next. Each of the voting stations can only accommodate ONE person for voting. Due to social distancing measures placed, at a given time, no 2 adjacent voting stations may be occupied with a person. An example is - voting station A has a person, voting station B has a person, and voting station C and D do not- this will be a violation as voting station A and B are both adjacent and have people voting. If, however, for instance it was A and C that had people voting and B and D were empty, that would successfully abide by the rules. 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 these voting booth/social distancing restrictions violated. You can assign A, B, C, D, as IN3, IN2, IN1, INO as well. 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 d) Assume that the logic gates used have the same cost and performance metrics per gate. Is there any design advantage to using the prototype from (b) or (c)? Explain why or why not. e) Build and demonstrate the circuit that will accomplish the task. If your last name starts with an ODD letter of the alphabet (i.e. A, C, E, G, I, etc.) your prototype will be of part B. If your last name starts with an EVEN letter of the alphabet (i.e. B, D, F, H, J, etc.) your prototype will be of part C.
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