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ECET105 Week 4 Homework Melissa Rauh
ECET105 – Digital Fundamentals
Homework Assignment #4
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1. Draw a logic circuit that performs the following Boolean expression: Y = A ∙ (B+C) .
2. Determine the Boolean expression for the circuit shown below.
_
Y=AB+B
3. The Boolean expression for an AND gate is A ∙ B=Y . Does the expression Á + B́=Ý also
describe an AND gate? Prove your answer.
Yes because they would have the same outputs in a truth table. For AB=Y (AND GATE) the output
would be 0|0|0|1 and for A+B=Y (NOR GATE) would be 1|0|0|0 but since Y is also ‘not’ then it would
be 0|0|0|1 same as the AND gate. So AB=Y is equivalent to A+B=Y.
This study source was downloaded by 100000847670927 from CourseHero.com on 05-23-2022 10:17:14 GMT -05:00
ECET105 Homework Assignment #4 Page 1 of 6
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, ECET105 Week 4 Homework Melissa Rauh
4. Write the Boolean expression for the logic circuit shown below.
Y= NOT (A and B)
5. Develop the truth table for the circuit shown in Problem 4.
A B X
0 1 1
1 0 1
1 1 0
6.
7. Develop the truth table for the circuit shown below.
This study source was downloaded by 100000847670927 from CourseHero.com on 05-23-2022 10:17:14 GMT -05:00
ECET105 Homework Assignment #4 Page 2 of 6
https://www.coursehero.com/file/13361029/Rauh-ECET105-Week-4-hw/
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