1. Two electronic engineers, A and B were responsible to design an electronic circuit. In the circuit design, engineer A uses the combination of gates (g v r) ^ (-p v (g v r)) while engineer B uses the combination of gate (g v r) to produce the same logical operation. Their superior would like to check whether both (g v r) A (-p v (q v r)) and (q v r) produced the same function or not. a. By using a truth table, show that the logical operations (g vr)^(-pv (g vr)) and (q v r) were equivalent or not? b. Without using the truth table, show that whether (g v r)^ (-p v (g v r)) and (g v r) are logically equivalent or not. c. If you were their superior, which gates would be chosen to be used in the circuit design? What was the reason behind for the decision?

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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1.
Two electronic engineers, A and B were responsible to design an electronic circuit. In the
circuit design, engineer A uses the combination of gates (g v r) ^ (-p v (q v r)) while
engineer B uses the combination of gate (q v r) to produce the same logical operation.
Their superior would like to check whether both (g v r) A (-p v (q v r)) and (g v r)
produced the same function or not.
a. By using a truth table, show that the logical operations (g vr)^(-p v (g v r)) and (q v
r) were equivalent or not?
b. Without using the truth table, show that whether (g v r) A (-p v (q v r)) and (g v r)
are logically equivalent or not.
c. If you were their superior, which gates would be chosen to be used in the circuit
design? What was the reason behind for the decision?
Transcribed Image Text:1. Two electronic engineers, A and B were responsible to design an electronic circuit. In the circuit design, engineer A uses the combination of gates (g v r) ^ (-p v (q v r)) while engineer B uses the combination of gate (q v r) to produce the same logical operation. Their superior would like to check whether both (g v r) A (-p v (q v r)) and (g v r) produced the same function or not. a. By using a truth table, show that the logical operations (g vr)^(-p v (g v r)) and (q v r) were equivalent or not? b. Without using the truth table, show that whether (g v r) A (-p v (q v r)) and (g v r) are logically equivalent or not. c. If you were their superior, which gates would be chosen to be used in the circuit design? What was the reason behind for the decision?
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