ECE 190 Exam I Fall 2009
Wednesday, September 30
th
, 2009
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Be sure your exam booklet has 9 pages.
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Write your name at the top of each page.
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This is a closed book exam.
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You may not use a calculator.
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You are allowed one handwritten 8.5 x 11” sheet of notes.
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Absolutely no interaction between students is allowed.
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Show all of your work.
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Be sure to clearly indicate any assumptions that you make.
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Don’t panic, and good luck!
Problem 1
10 points
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Problem 2
15 points
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Problem 3
15 points
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Problem 4
15 points
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Problem 5
25 points
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Problem 6
20 points
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Total
100 points
_______________________________
Name:
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Page 2
Name:
____________________________________________
Problem 1
(10 points):
Binary Representation
Part A
(5 points): What is the minimum number of bits needed to represent decimal 64 in binary
using 2’s complement representation?
Part B
(5 points): Given two 6-bit inputs A, and B, where A = x30 and B = x12.
If C is a 6-bit
output from an adder, where C = A + B, answer the following questions:
Assuming that A, B, and C are treated as unsigned numbers, is C a valid result?
If not, in ten
(10) words or less explain why not.
If yes, write the value of C in decimal.
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