1. (a) Complete the following truth table. |P의|-P|-Pv이|-(-PVQ)| PA의 (PAQ) -PV의|-(-PVQ)^(P^Q) TTF TFF FTT FFT T F (b) Use the truth table to answer the following. (i) Which if any of the following Boolean expressions is a tautology? Give a reason. (A) -PVQ (ii) Which if any of the following Boolean expressions is a contradiction? Give a reason. (A) -PVQ (B) -(-PVQ) (C) (PAQ) = -PVQ (D) -(-PV Q) A (PA Q) (B) -(-PV Q) (C) (PAQ) = -PVQ (D) -(-Pv Q) A (PA Q)
1. (a) Complete the following truth table. |P의|-P|-Pv이|-(-PVQ)| PA의 (PAQ) -PV의|-(-PVQ)^(P^Q) TTF TFF FTT FFT T F (b) Use the truth table to answer the following. (i) Which if any of the following Boolean expressions is a tautology? Give a reason. (A) -PVQ (ii) Which if any of the following Boolean expressions is a contradiction? Give a reason. (A) -PVQ (B) -(-PVQ) (C) (PAQ) = -PVQ (D) -(-PV Q) A (PA Q) (B) -(-PV Q) (C) (PAQ) = -PVQ (D) -(-Pv Q) A (PA Q)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Plz solve both questions a nd b part and also subparts... Don't left any part plzz...
Transcribed Image Text:1. (a) Complete the following truth table.
PQ-P-PvQ -(-PVQ)|PAQ (PAQ) = -PVQ| -(-PV Q) A (PAQ)
TT
TF
FTT
F
T
F
F
F
FF
T
F
(b) Use the truth table to answer the following.
(i) Which if any of the following Boolean expressions is a tautology? Give a reason.
(A) -PVQ
(ii) Which if any of the following Boolean expressions is a contradiction? Give a reason.
(A) - PVQ
(B) -(-PVQ)
(C) (PAQ) = -PVQ
(D) -(-PV Q) A (PA Q)
(B) -(-PV Q)
(C) (PAQ) = -PVQ
(D) -(-PV Q) A (PA Q)
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