5. Using inverters, OR gates, and AND gates, construct a combinatorial circuit that produces the output p q from input bits Р and 9.

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5.
Using inverters, OR gates, and AND gates, construct a combinatorial
circuit that produces the output p q from input bits p and q.
6.
Using truth tables, show whether the following propositional statements
are equivalent:
(a) (p V q) and pVq
(b) p^ q and ¬(¬p V¬q)
(c) q⇒ (p V r) and − p ⇒ (q ⇒r).
7.
Using the laws of logical equivalence, determine if the following state-
ments are a tautology, contradiction, or neither:
(a) p^(-(p\q))
(b) (p^q) (pv¬q)
(c) ((pVg) ^r) = ((p^r) V (q^r))
Transcribed Image Text:5. Using inverters, OR gates, and AND gates, construct a combinatorial circuit that produces the output p q from input bits p and q. 6. Using truth tables, show whether the following propositional statements are equivalent: (a) (p V q) and pVq (b) p^ q and ¬(¬p V¬q) (c) q⇒ (p V r) and − p ⇒ (q ⇒r). 7. Using the laws of logical equivalence, determine if the following state- ments are a tautology, contradiction, or neither: (a) p^(-(p\q)) (b) (p^q) (pv¬q) (c) ((pVg) ^r) = ((p^r) V (q^r))
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