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Logic Gates

Find the outp...

Question

Find the output $F$ of the logic circuit given below.

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Solution

Output of $1 s t$ OR gate $= A + B$
Output of $2 n d$ OR gate $= A + C$
Output of AND gate $= (A + B) . (A + C)$
$= A A + B A + A C + B C$
$= A (1 + B + C) + B C$
$= A (1) + B C$
$= A + B C$

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