Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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7. Find the output of the combinatorial circuit 8. Construct a combinatorial circuit using inverters, OR gates, and AND gates that produces the output: (p^¬r) V(¬q^r) from input bits p, q, and r
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Transcribed Image Text:7. Find the output of the combinatorial circuit 8. Construct a combinatorial circuit using inverters, OR gates, and AND gates that produces the output: (p^¬r) V(¬q^r) from input bits p, q, and r
4. Determine whether these biconditionals are true or false a. If 1+1= 3, then unicorns exist b. If 1+1= 2, then dogs can fly 5. Construct truth tables for the following compound propositions a. p→¬p b. (pvq)Vr c. (pvq)^r d. (рлд)Vr e. (p^q)^r f. (pVq)^¬r g. (pag) V¬r 6. Relate to the inhabitants of the island of knights and knaves created by Smullyan, where knights always tell the truth and knaves always lie. You encounter two people, A and B. Determine, if possible, what A and B are if they address you in the ways described. If you cannot determine what these two people are, can you draw any conclusions? a. A says "The two of us are both knights" and B say "A is a knave"
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Transcribed Image Text:4. Determine whether these biconditionals are true or false a. If 1+1= 3, then unicorns exist b. If 1+1= 2, then dogs can fly 5. Construct truth tables for the following compound propositions a. p→¬p b. (pvq)Vr c. (pvq)^r d. (рлд)Vr e. (p^q)^r f. (pVq)^¬r g. (pag) V¬r 6. Relate to the inhabitants of the island of knights and knaves created by Smullyan, where knights always tell the truth and knaves always lie. You encounter two people, A and B. Determine, if possible, what A and B are if they address you in the ways described. If you cannot determine what these two people are, can you draw any conclusions? a. A says "The two of us are both knights" and B say "A is a knave"
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