Voting Machine project

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DeathEater

Joined Mar 30, 2015
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there is a project in school that requires you to build a "voting machine" circuit board using the least number of gates. The voting machine is based on four people, a president, vice president, secretary, and treasurer. The presidents vote counts twice and the rest once. They need three votes for something to pass (which is the light turning on). So the light is supposed to turn on when three votes are a yes. I have simplified mine down to five gates by doing a K-Map. The original equation is : PV+PS+PT+VST (since the presidents vote counts twice).
I have gotten it to: P (V+T) + S (P+T). Can I simplify anymore?
 
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