(Solved): For the Boolean variables \( x, y, z \), let \( g(x, y, z)=x(\bar{y}+z)+\over ...

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For the Boolean variables \( x, y, z \), let \( g(x, y, z)=x(\bar{y}+z)+\overline{(\bar{x} y)} \overline{(x+z)} \). (a) [3 marks]. Use the laws for Boolean algebra to write the formula for \( g \) in disjunctive normal form. (As a check, there are 4 terms in the sum and two of the terms are \( x \bar{y} \bar{z} \) and \( \bar{x} \bar{y} \bar{z} \).) (b) [3 marks]. Use Karnaugh maps to minimize the expression found in the previous part. (If you weren't able to use Boolean laws to obtain the DNF expression, then construct a Boolean table for \( g \), and find the DNF from the table.)