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 decision 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.  Express V as a sum of products. Simplify V, either algebraically or by an explanation based upon the truth table. Draw the simplified circuit for V.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Digital Circuit Design

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 decision 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:

  1. Make a truth table for V. 

  2. Express V as a sum of products.

  3. Simplify V, either algebraically or by an explanation based upon the truth table.

  4. Draw the simplified circuit for V.
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