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HOW YOU PROVE DE MORGAN’S LAW USING TRUTH TABLE

USE THE TRUTH TABLE TO SHOW THE MORGAN’S LAW

DE Morgan’s law

THERE ARE TWO WAYS OF SOLVING DE MORGAN’S LAW ON TRUTH TABLE

EITHER ~[pVq] = ~p^ ~q

OR        ~ [p^q]= ~pv ~q

USING THE FIRST ONE TO PROVE DE MORGAN’S LAW i.e

  ~[pVq]= ~p^ ~q

PQ~p~QPVq~[pVq]~p^~ q
TTFFTFF
TFFTTFF
FTTFTFF
FFTTFTT
De morgan’s Table

OR     ~[p^q] = ~pv~q

PQ~p~QP^q~[p^q]~pv~ q
TTFFTFF
TFFTFTT
FTTFFTT
FFTTFTT
De morgan’s Law

It is logically equivalent.

NOTE: IN EIITHER WAY IT MUST PROVE THAT THE LEFT HAND SIDE IS LOGICALLY EQUIVALENT WITH THE RIGHT HAND SIDE.

YOU CAN DO IT

Oluwamuyide Peter

On the 4th of November I officially became a member of the exclusive 1st student with distinction after five years of no such record, in the history of The Polytechnic Ibadan, Faculty of Engineering to graduate with distinction as a DPP students since its establishment in 2011. My unrelenting power to solve problems, have made me to create a platform where student can get valid information anywhere, anyplace at anytime Evolving education world wide 🌎

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