A math teacher asked you as a digital circuit designer to build an interactive tool that would allow elementary school students to have fun while learning the properties of numbers. The teacher described the tool to you in the following details: The tool has an input panel that allows the student to enter any number from 1 to 10. - The tool has two lights: green & red. If the student enters an even number, the green light will turn on. If the student enters a prime number, the red light will turn on. - Of course, green & red lights can turn on together, depending on the properties of the entered number. Your task is to design and implement the underlying combinational circuit for this interactive tool. Answer the following questions: 1. How many bits are required as inputs for this combinational logic circuit to represent the numbers from 1 to 10? Describe. 2. 3. How many outputs in this combinational logic circuit? Describe. Derive the truth table that defines the required relationship between inputs and outputs. 4. Obtain the canonical algebraic expressions (i.e., sum of minterms) for each output as a function of the input variables. [1 mark] 5. Obtain the simplified Boolean functions (using K-map) for each output as a function of the input variables. على النص الذي ترغب في أن يظهر هنا 1 Heading خطا استخدم علامة التبويب "الصفحة الرئيسية" لتطبيق 6. Draw the logical diagram of the combinational circuit. 7. Verify your design by simulation using https://circuitverse.org/simulator (implement your circuit, attach a screenshot of the circuit design, and provide a link to your implementation).
A math teacher asked you as a digital circuit designer to build an interactive tool that would allow elementary school students to have fun while learning the properties of numbers. The teacher described the tool to you in the following details: The tool has an input panel that allows the student to enter any number from 1 to 10. - The tool has two lights: green & red. If the student enters an even number, the green light will turn on. If the student enters a prime number, the red light will turn on. - Of course, green & red lights can turn on together, depending on the properties of the entered number. Your task is to design and implement the underlying combinational circuit for this interactive tool. Answer the following questions: 1. How many bits are required as inputs for this combinational logic circuit to represent the numbers from 1 to 10? Describe. 2. 3. How many outputs in this combinational logic circuit? Describe. Derive the truth table that defines the required relationship between inputs and outputs. 4. Obtain the canonical algebraic expressions (i.e., sum of minterms) for each output as a function of the input variables. [1 mark] 5. Obtain the simplified Boolean functions (using K-map) for each output as a function of the input variables. على النص الذي ترغب في أن يظهر هنا 1 Heading خطا استخدم علامة التبويب "الصفحة الرئيسية" لتطبيق 6. Draw the logical diagram of the combinational circuit. 7. Verify your design by simulation using https://circuitverse.org/simulator (implement your circuit, attach a screenshot of the circuit design, and provide a link to your implementation).
Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)
10th Edition
ISBN:9781337399128
Author:Russell E. Smith
Publisher:Russell E. Smith
Chapter17: Commercial And Industrial Air-conditioning Control Systems
Section: Chapter Questions
Problem 22RQ
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![A math teacher asked you as a digital circuit designer to build an interactive
tool that would allow elementary school students to have fun while learning the
properties of numbers. The teacher described the tool to you in the following
details:
The tool has an input panel that allows the student to enter any number
from 1 to 10.
-
The tool has two lights: green & red.
If the student enters an even number, the green light will turn on.
If the student enters a prime number, the red light will turn on.
- Of course, green & red lights can turn on together, depending on the
properties of the entered number.
Your task is to design and implement the underlying combinational circuit for
this interactive tool. Answer the following questions:
1. How many bits are required as inputs for this combinational logic
circuit to represent the numbers from 1 to 10? Describe.
2.
3.
How many outputs in this combinational logic circuit? Describe.
Derive the truth table that defines the required relationship
between inputs and outputs.
4. Obtain the canonical algebraic expressions (i.e., sum of
minterms) for each output as a function of the input variables. [1 mark]
5. Obtain the simplified Boolean functions (using K-map) for each
output as a function of the input variables.
على النص الذي ترغب في أن يظهر هنا 1 Heading خطا استخدم علامة التبويب "الصفحة الرئيسية" لتطبيق
6. Draw the logical diagram of the combinational circuit.
7. Verify your design by simulation using https://circuitverse.org/simulator
(implement your circuit, attach a screenshot of the circuit design, and
provide a link to your implementation).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdb66e547-34d6-4238-916b-f7c1535bc5ad%2Faa357227-deaa-40ab-a77a-620856f284ea%2F1589o2a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A math teacher asked you as a digital circuit designer to build an interactive
tool that would allow elementary school students to have fun while learning the
properties of numbers. The teacher described the tool to you in the following
details:
The tool has an input panel that allows the student to enter any number
from 1 to 10.
-
The tool has two lights: green & red.
If the student enters an even number, the green light will turn on.
If the student enters a prime number, the red light will turn on.
- Of course, green & red lights can turn on together, depending on the
properties of the entered number.
Your task is to design and implement the underlying combinational circuit for
this interactive tool. Answer the following questions:
1. How many bits are required as inputs for this combinational logic
circuit to represent the numbers from 1 to 10? Describe.
2.
3.
How many outputs in this combinational logic circuit? Describe.
Derive the truth table that defines the required relationship
between inputs and outputs.
4. Obtain the canonical algebraic expressions (i.e., sum of
minterms) for each output as a function of the input variables. [1 mark]
5. Obtain the simplified Boolean functions (using K-map) for each
output as a function of the input variables.
على النص الذي ترغب في أن يظهر هنا 1 Heading خطا استخدم علامة التبويب "الصفحة الرئيسية" لتطبيق
6. Draw the logical diagram of the combinational circuit.
7. Verify your design by simulation using https://circuitverse.org/simulator
(implement your circuit, attach a screenshot of the circuit design, and
provide a link to your implementation).
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