Solution to Determine which of the following pair of statement are logically equivalent: (r V p) ^ … - Sikademy

Oct. 27, 2020

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Archangel Macsika

Determine which of the following pair of statement are logically equivalent: (r V p) ^ ( ( ~r V (p^q) ) ^ (r V q) ) and p ^ q

Truth Table for: p → r q → r hence, p V q → r

pqr~rp ^ q~r V (p^q)r V qr V p(~r V (p^q)) ^ (r V q)((~r V (p^q) ) ^ (r V q)) ^ (r V p)
TTTFTTTTTT
TTFTTTTTTT
TFTFFFTTFF
TFFTFTFTFF
FTTFFFTTFF
FTFTFTTFTF
FFTFFFTTFF
FFFTFTFFFF

Since values in the column 5 and column 10 are same the give two statements are logically equivalent.

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