Project Overview
The purpose of the majority vote project would be to create a voting machine. It will allow the four board members to cast their ballots and will display their decisions. Some constraints we had was to only use 2-input AND gates and 2-input OR gates. This report will explain how 4 board members vote on a decision and how each member affects the outcome, if the decision is passed or not.
Problem Conception via truth table and Un-simplified expression
2. The purpose of the truth table is to show how the decision to pass something and shows of each member votes yes or no and the outcome of all 4 members voting together. The relationship between the number of rows and the number of variables is 16 to 4. In case of a tie the table shows how if the president votes yes the outcome is that the it passes, if the president votes no the outcome is that it does not pass.
Un-simplified Circuit
3. The un-simplified circuit can be very hard to follow given so many gates and wires so I made it a little easier to read by using a bus. It required 24 AND gates, 7 OR gates, and 4 inverters.
Boolean Algebra Simplification
4. This shows the step by step simplification of the un-simplified expression using boolean algebra. By using this method it gives us the simplest version of the expression which makes it easier to understand and to build.
Simplified Circuit
5. The simplified circuit is not in bus form be we didn't need a bus, it is already neat and not very confusing. Only 5 AND gates and 3 OR gates were required to build the simplified circuit. So only two S08 chips and one 532 chip were required because each chip accounts for four gates, so for every four of each type of gate that same type of chip is required.
\nThis circuit contained 27 less gates and 6 fewer chips than the un-simplified circuit. This is important because it makes the circuit easier to read and to follow when you are building your bread board. If you were to try and build the un-simplified circuit you would have so many unessary wires. Also it would be very hard to follow using the circuit to help you build. You would most likely make an error using this circuit.
\nThis circuit contained 27 less gates and 6 fewer chips than the un-simplified circuit. This is important because it makes the circuit easier to read and to follow when you are building your bread board. If you were to try and build the un-simplified circuit you would have so many unessary wires. Also it would be very hard to follow using the circuit to help you build. You would most likely make an error using this circuit.
Bread-boarding
6. The bill of materials table shows the materials needed to build the simplified circuit.