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:
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Next State
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A
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B
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X
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A
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B
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0
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0
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0
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0
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0
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1
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0
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1
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0
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0
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1
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1
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1
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0
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0
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1
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0
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1
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1
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1
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0
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1
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1
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1
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