We need to implement a simple voting system for a company. This company has a board composed of three directors having different voting weights as follows; a motion passes if it gets more than 50% of votes: Director A: 20% Director B: 30% Director C: 50% Design a circuit that implements this voting system. Supposing the output of the circuit is named V, in order to design this system you need to do the following: Make a truth table for V. [12%] Express V as a sum of products. [8%] Simplify V, either algebraically or by an explanation based upon the truth table. [15%] Draw the simplified circuit for V. [15%

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