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Question 1. Using Boolean algebra, prove that:
X'Y + XYZ' + Y' + XZ (Y+Y') = 1
Question 2. University(Uni) has opened an IT Doctorate study in Sydney Study Centre. The applicant should has a master degree in IT or a master degree in electrical engineering. The applicant should also has completed project subject (e.g. ITC570, ITC571, ...)in his master degree. Before Uni management staff approve student's application, they have to check student master degree if it meet the requirements and also check if the student completed project subject or not in his master degree. After checking applicant documents, Uni staff has come to the following conclusions:
Approve if applicant has one of the required master degrees and has completed project subject.
Approve if applicant has two of the required master degrees and has completed project subject.
Don't approve otherwise.
Construct a truth table and find the minimized Boolean function to implement the logic telling the CSU staff when to approve. Draw a circuit diagram for the Boolean function.
Question 3. Complete the truth table for the following sequential circuit:
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The paper describes use of various Boolean laws, simplification of logical expressions using karnaugh maps and construction of logic diagrams based on simplified expression. Every real time activity starts with providing specifications, construction of truth table, identifying output as per requirements, writing logical expression from truth table, identifying the possibility of its minimization either using basic laws or karnaugh maps and finally generating net list. Each step is clearly explained in the given assignment. Sequential circuits play crucial role in design of any processors.The evaluation of output sequence for the given sequential circuit and writing its truth table is clearly written
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