Solution to Construct a truth table for each of these compound propositions: i) (p ⇔ q) ⇔ … - Sikademy

Nov. 14, 2019

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Archangel Macsika

Construct a truth table for each of these compound propositions: i) (p ⇔ q) ⇔ (r ⇔ s) ii) (p ⨁ q) ∨ (p ⨁ ¬q)

i. Truth Table for: (p ⇔ q) ⇔ (r ⇔ s)

pqrsp ⇔ qr ⇔ s(p ⇔ q) ⇔ (r ⇔ s)
TTTTTTT
TTTFTFF
TTFTTFF
TTFFTTT
TFTTFTF
TFTFFFT
TFFTFFT
TFFFFTF
FTTTFTF
FTTFFFT
FTFTFFT
FTFFFTF
FFTTTTT
FFTFTFF
FFFTTFF
FFFFTTT

ii. Truth Table for: (p ⨁ q) ∨ (p ⨁ ¬q)

pq¬qp ⨁ qp ⨁ ¬q(p ⨁ q) ∨ (p ⨁ ¬q)
TTFFTT
TFTTFT
FTFTFT
FFTFTT

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