Grading
The assignment is worth 100 points: 75 points for the circuit, 15 points for the truth table, and 10 points for the Boolean expressions of the outputs.
Step 1
(75 points) - create the circuit below in either Digital Works or Logisim
A
![](https://secure.expertsmind.com/securepanel/data:image/png;base64,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)
![196_1.png](https://secure.tutorsglobe.com/CMSImages/196_1.png)
Step 2
Attach interactive inputs to A. B, and C lines of your circuit and LEDs to the ouputs D, E, and F.
Digital Works
The interactive inputs on Digital Works will toggle between on and off, and an LED will be red if it receives a logical 1. Location of interactive input and LED on Digital Works menu
![718_instructions_part_1.jpg](https://secure.tutorsglobe.com/CMSImages/718_instructions_part_1.jpg)
Logisim
The interactive inputs on Logisim will toggle between 0 and 1. and an LED will be red if it receives a logical 1.
Step 3
Test your circuit by toggling the interactive inputs and observe which of the LEDs light up on the three outputs. Write down which combinations of the three inputs cause specific LEDs to light up. Be sure to go through all combinations of inputs.
Digital Works
To test your circuit, click Circuit on the menu bar, then select Run. To toggle the interactive inputs use the pointer finger tool, and place the finger over the input and left click the mouse.
![807_4.jpg](https://secure.tutorsglobe.com/CMSImages/807_4.jpg)
Logisim
To test your circuit, click Simulate on the menu bar, and make sure Simulation Enabled is checked. To toggle the interactive inputs use the pointer finger tool, and place the finger over the input and left click the mouse.
![1967_5.jpg](https://secure.tutorsglobe.com/CMSImages/1967_5.jpg)
Step 4
(15 points) - create a truth table for the circuit in a Word document
- create a truth table for the circuit using a table in Microsoft Word. There will be nine columns in the truth table. One for each input signal. one for each output signal, and the last three columns will be for the LEDs (see column headings below). Use O's and l's in your truth table for the three inputs and three outputs. If an LED is red for a specific combination of inputs then put "on" in the truth table, and "off' if the LED is not red. You will need to create a separate row in the truth table for each combination of input signals.
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ABC
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D
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E
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F
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0 Led
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E Led
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F Led
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Step 5
(10 points) - create Boolean expressions in the same Word document as the truth table Create three separate Sum of Products Boolean expressions for outputs D. E, and F.
Step 6
Submit the circuit, truth table, and Boolean expressions
Take a screen shot of your circuit and paste it into the Word document containing the truth table and Boolean expressions.
Place the Word document and the simulation file from either Digital Works or Logisim into a zip file and submit the zip file for grading.