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314s06_prelim1 - NETID NAME SIGNATURE ECE 314 Prelim Exam...

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NETID______________________________ Page 1 of 11 NAME:_____________________________ SIGNATURE:________________________ ECE 314 Prelim Exam March 16, 2006 Normal academic integrity rules apply. No calculators. Show your work (e.g., on the back of the page) in order to receive partial credit.
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NETID______________________________ Page 2 of 11 Question Possible Points Points Earned Number Representation 20 Endian Representation 20 Digital Logic 20 Performance 20 C and MIPS 20 Total 100
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NETID______________________________ Page 3 of 11 Q.1. Number Representation (15 pts) a) (8 pts) Fill in the blanks: Encoding Decimal Value Binary Pattern Hex Pattern 8-bit Sign/Magnitude -72 __________ __________ 8-bit 2’s Complement __________ 11001001 __________ 8-bit Unsigned __________ __________ 0xCD _-bit_____________ -11 11011 __________ b) (6 pts) Perform the following calculation in 8-bit 2’s complement. First convert the numbers from decimal to binary representation, and then perform the computation. Report your answer in both binary 8-bit 2’s complement and decimal representations. There will be no partial credit for this problem. (Hint: doing the addition in decimal will NOT work correctly.) (-44) (87) Answer: 8-bit 2’s complement: (3 pts) Decimal: (4 pts)
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