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1. Represent the following decimal numbers in both binary sign/magnitude and two's complement using 16 bits: -29.
2. 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:
00111111010100000000000000000000
3. X'Y + XYZ' + Y' + XZ (Y+Y') = 1
4. Charles Stun 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:
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.
5. 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.
5. Complete the truth table for the following sequential circuit:
Next State
A
B
X
0
1
Question 4 in assignment, You need to use a (Logic Design Simulator) to design the circuit. We have uploaded two simulators in (week 4 & 5) folder that are Cedar and Logisim. You can chose one of them to work on it; Logisim is recommended as it is very simple to use. Short video in 3 minutes is provided to show you how to use the simulator. For students that have Mac, might you need to work in the Lab or chose other logic design simulator by Google search as those uploaded simulators might are not working with Mac. Take a screen shot (Only one) by using Snipping Tool and paste it to word document.
The following are guidelines for your coming Assignment 1: Data representation & Digital logic that its due 17 December. Use word document to work on your assignment and any format is accepted. You don’t need to copy the assignment questions and paste them to your file as that will increase the similarities (plagiarism). The percentage of similarities should be less than 30%. No peer to peer in any assignment question as it is not learning activities. It is individual assignment and will be marked by your lecturer after the due date. Please use your name in CSU when you create your turnitin account. The turnitin details are available in left side bar interact. You can submit multiple times your work from now up to due date. Create the template for each question to work on it as the templates are available in our lecture slides. You also need to provide a very brief explanation about the steps that you have followed to solve any question. Question 3 in assignment, you need to prove the left side equal 1 by applying the Boolean rules.
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