ECET 105 Week 4 Homework Assignment # 4 (TOP RATED PAPER) | Download To Score An A

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.




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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.




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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.




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