7. Using the laws of logical equivalence, determine if the following state- ments are a tautology, contradiction, or neithep: (a) - pA (- (- p V q)) (b) (- p^q) (pV ¬ q) (c) ((p V q) Ar) → ((p^r) V (q ^r))

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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Solve question number 7th handwritten solution plzz

5.
Using inverters, OR gates, and AND gates, construct a combinatorial
circuit that produces the output pOq from input bits p and q.
6.
) Using truth tables, show whether the following propositional statements
are equivalent:
(a) ¬(p V q) and - p V-q
(b) pAq and -(-pV¬ 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) ¬ pA (- (- p V q))
(b) (- pAg) e (p V ¬ q)
(c) ((pV q) ^ r) → ((p^r) V (q ^ r))
((PAr) V (q A r))
Transcribed Image Text:5. Using inverters, OR gates, and AND gates, construct a combinatorial circuit that produces the output pOq from input bits p and q. 6. ) Using truth tables, show whether the following propositional statements are equivalent: (a) ¬(p V q) and - p V-q (b) pAq and -(-pV¬ 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) ¬ pA (- (- p V q)) (b) (- pAg) e (p V ¬ q) (c) ((pV q) ^ r) → ((p^r) V (q ^ r)) ((PAr) V (q A r))
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