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

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

1. 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

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

1. 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.

1. 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

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