MCD4700 - Introduction to Computer Systems - Networks and Security - Engineering Assignment Help

Assignment Task :

Step 1: Boolean Algebra Expressions 
Write the Boolean equation for your truth table in sum of products form (your choice). First, think about how to deal with the two outputs. Then, describe each single row in terms of Boolean algebra. Finally, combine the boolean terms for each row into a larger term. Briefly explain these steps for the truth table given.

Step 2: Logical Circuit in Logisim
Model the resulting Boolean terms from Step 1 in a single Logisim circuit, using the basic gates AND, OR, NOT. Use the original boolean expression for drawing the circuit (do not simplify the expression). You can use logic gates with more than two inputs.
To do this task you have to use a template Logisim file “task_1.2_template” that has been provided with this assignment. Do not forget to rename the file before saving your circuit in it. And, ‘2’ marks will be deducted if you change the labels (or adding any extra label).

Step 3: Optimised Circuit 
The goal of this task is to find a minimal circuit (using only universal NAND gates). Based on the truth table and Boolean algebra terms from Step 1, optimize the function using Karnaugh maps.
You need to create two Karnaugh maps, one for each output. Your documentation should show the maps as well as the groups found in the maps and how they relate to terms in the optimized Boolean function.
Then use Logisim to create a logic circuit. Don’t use any other gates, other than NAND. Use the template Logisim file “task_1.3_template” that have been provided with this assignment. Do not forget to rename it.

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