DECIMAL NUMBERS IN BOTH BINARY SIGN AND TWOS COMPLEMENT USING 16 BITS

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DECIMAL NUMBERS IN BOTH BINARY SIGN AND TWOS COMPLEMENT USING 16 BITS

Task

Represent the following decimal numbers in both binary sign/magnitude and twos complement using 16 bits: -29. [2 Marks]

A Computer uses IEEE-754 format to represent floating points. What value (in decimal) the computer represents if the floating point is represented using the following binary digits: [3 Marks]

0 01111110 10100000000000000000000

X’Y + XYZ’ + Y’ + XZ (Y+Y’) = 1 [2 marks]

Charles Sturt University (CSU) academic director want to select students in Sydney Study Center to give them Gala Dinner Award. The recipient has completed three subjects at least, two of them are core and the third is elective . Before he will select him, he must check three subjects. He has come to the following conclusions [5 Marks = 2+1+2]:

Give if two of core are High Distinction (HD) and elective subject is not.
Give if one of the core subject and elective subject are HD.
Don`t hire otherwise.

Construct a truth table and find the minimized Boolean function to implement the logic telling the director when to hire. Draw a circuit diagram for the Boolean function.

Complete the truth table for the following sequential circuit:[3 marks]

Online submission via Turnitin is required for this assignment.

Rationale

This assessment task covers topic 2 and 3, and has been designed to ensure that you are engaging with the subject content on a regular basis. More specifically it seeks to assess your ability to:

be able to apply Boolean algebra and digital logic to design and interpret digital circuits.
be able to use different identities of the Boolean algebra

Marking Criteria

Questions	Fail (	Pass (50% - 64%)	Credit (65% - 74%) \| Distinction (75% - 84%)	High Distinction (>84%)
Question 1 & 2	Neither the answers are correct nor the steps. Final answer is correct without showing the process steps is not accepted	The answer is not correct, but the steps are correct.	The answer is correct or there were only a few slip of pen, or a step or two were missing.	Answer is correct All steps were shown. The student should submit the solution has all process steps.
Question 3	Neither the answers nor the steps are correct	Answer is not correct, but the steps are correct.	Answers are all correct but there are only few mistakes in the steps. The efficiency has not considered in the solution	Answer s are all correct and complete. All steps are shown and identities are listed. The efficiency has considered in the solution
Question 4	The circuit design is incorrect and does not conform to the question.	Boolean expression is not correct, however the steps are correct. No or wrong circuit diagram.	The circuit design and the Boolean expression are correct but not minimised. Steps are correct. Minor mistakes in the Boolean algebra. The circuit hasn`t designed by using Logic Design simulator (Like Cedar, Logisim, ...etc)	The created truth table is correct. The circuit design is correct. The Boolean expression is minimised. All steps are explained. The circuit diagram is correct and neat. The circuit designed by using Logic Design simulator (Like Cedar, Logisim, ...etc)
Question 5	Neither the answers nor the steps are correct Final answer is correct without showing the process steps is not accepted	Answer is not correct, but the steps are correct	Answers are all correct but there are only few mistakes in the steps.	Answers are all correct and complete. All steps are shown and identities are listed The student should submit the solution has all process steps.

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