Question

C.Using truth table, determine whether the following expressions are identical or not.
(A+B).(A+C)=A+B.C





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Answer 1

$\huge{ \mathtt{\underline{ \red{Answer}}}}$

RHS

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=>(A+B)(A+C)

=>A.A+A.C+B.A+B.C [ P.P=P established rule check from truth table }

=>A+AC+BA+BC

=>A(1+C)+BA+BC

[ 1+P=1 anything or operated with 1 will always give 1 ]

=>A+BA+BC [1.A=A logic ]

=>A(1+B)+BC

=>A+BC=LHS hence proved

The rules that I have used have names ,though I have explained.

Hope it's helpful