Math: Quantitative Skills And Reasoning Assignment
Ddeannad
LogicGatesAssignment.docxNAME: _______________________
For this project, you will need to use the following website:
http://www.neuroproductions.be/logic-lab/
Note that the site uses Flash, which means it will not work on some devices (such as an iPad using Safari).
You may only use the following circuit components:
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· switch
· light
· signal splitter |
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· and
· or
· not |
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EXAMPLE: Below is an example of a circuit with two switches and one light in which the light turns on only when both light switches are on, otherwise it is off.
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For the circuit to the right, call the top switch A and the bottom switch B.
This circuit is equivalent to A and B. |
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Here is the truth table for the circuit. Notice that true = on and false = off.
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1. (3 pts) Make a logic circuit that represents the statement A and not A. Include a screenshot of your circuit.
Screenshot here
When the switch is off, is the light on or off?
When the switch is on, is the light on or off?
2. (3 pts) Create a circuit with one switch and one light so that the light is always on. Include two screenshots of your circuit, one with the switch off and one with the switch on. Write the logical statement this circuit represents.
Logical Statement: ____________________________
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Screenshot 1 here |
Screenshot 2 here |
3. (3 pts) Make a logic circuit with two switches and one light that represents the statement
not (A or B). Fill out the truth table.
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Screenshot here |
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4. (3 pts) For the circuit below, call the top switch A and the bottom switch B. You might find it helpful to actually construct this circuit.
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What is the equivalent logical statement for this circuit?
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Under what switch conditions will the light be on?
5. (3 pts) For the circuit below, call the top switch A and the bottom switch B. You might find it helpful to actually construct this circuit.
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Complete the truth table for this circuit.
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Describe a real-world situation where this circuit would be helpful.
6. (4 pts) Create a circuit with two switches and one light so that the light is only off when both switches are on. Include four screenshots of your circuit. Write the logical statement this circuit represents.
Logical Statement: ____________________________
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Screenshot of both A and B on
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Screenshot of A on and B off
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Screenshot of A off and B on
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Screenshot of both A and B off
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7. (3 pts) Create an “If…then” circuit with two switches and one light. The circuit should have the following truth table.
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A |
B |
If A, then B. |
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T |
T |
T |
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T |
F |
F |
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F |
T |
T |
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F |
F |
T |
Include one screenshot of the circuit. Recall that you can only use and, or, and not logic gates.
Logical Statement (using and/or/not): ____________________________
Screenshot here
8. (4 pts) Are these two statements logically equivalent? Your justification should include screenshots of two different circuits, each with three switches and one light.
· A and (B or C)
· (A and B) or C
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Screenshot 1 here
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Screenshot 2 here
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Justification:
