Write the logic expression of $g(x,y,z)$ and $f(x,y,z)$ from the adjacent logic circuit.

Use algebraic manipulation to prove the following:

$xy+yz+x^{\text{'}}z=xy+x^{\text{'}}z$

$(x_1+x_2+x_3)*(x_1+x_2+{\stackrel{}{x}}_3)=x_1+x_2$

Please do it as soon as possible.

Please do no $3$ math first.......

Do not use chat gpt and please do it correctly.

Department : Computer Science and Engineering $($CSE$)$

$1$:$02$ PM