Determine the expression tree for the following propositions and its truth table. Draw its original combinatorial circuit and also draw its simplified circuit (if possible) by applying logical equivalence. a. (p → q) →r b. p → (q vr) c. ((p v q) <> r) → p| d. (¬q A -r) <> (p →(q v r)) e. p → (-p → q) f. (p A q) v (p a r) g. -(p v (-p A q)) h. ((p → q) ^ (p →¬q)) ^ ((¬p → q) ^ (¬p → q))

Introductory Circuit Analysis (13th Edition)
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Chapter1: Introduction
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Kindly refer to one of the attached image for the expression tree example.

OR
AND
OR
Fig. 12.1. Expression tree for the logical expression p AND (q OR r) 0OR s.
Transcribed Image Text:OR AND OR Fig. 12.1. Expression tree for the logical expression p AND (q OR r) 0OR s.
Determine the expression tree for the following propositions and its truth
table. Draw its original combinatorial circuit and also draw its simplified
circuit (if possible) by applying logical equivalence.
a. (p → q) → r
b. p → (q v r)
c. (p v q) <> r) <>p|
d. (-q A -r) <> (p (q v r))
е. р -> (-р —> q)
f. (p a q) v (p A r)
g. 기(pv (-p ^ q))
h. ((p → q) ^ (p →¬q)) ^ ((¬p →→ q) ^ (¬p →¬q))
Transcribed Image Text:Determine the expression tree for the following propositions and its truth table. Draw its original combinatorial circuit and also draw its simplified circuit (if possible) by applying logical equivalence. a. (p → q) → r b. p → (q v r) c. (p v q) <> r) <>p| d. (-q A -r) <> (p (q v r)) е. р -> (-р —> q) f. (p a q) v (p A r) g. 기(pv (-p ^ q)) h. ((p → q) ^ (p →¬q)) ^ ((¬p →→ q) ^ (¬p →¬q))
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