october_2001

october_2001 - Department of Electrical and Computer...

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Department of Electrical and Computer Engineering McGill University 304-221A Introduction to Computer Engineering I Mid Term Exam Examiner: F.P. Ferrie Date: October 22 nd , 2001 Question 1 (6 points) A 48-bit computer uses an IEEE-754 like floating point number representation with a 10-bit exponent. Determine i) the bias and range of the exponent, ii) the range of real numbers that can be represented with this scheme, iii) the number of significant figures in the mantissa, and iv) the smallest number > 0. Question 2 (2 points) List the primitive machine operations required to support general purpose computing (as discussed in Module 1). Which ones are required to compare two IEEE floating point numbers. Question 3 (4 points) Encode the number -6.25 x 2 -30 using IEEE-754 encoding. Express the result as a hex number. Question 4 (2 points) A VGA display has a resolution of 800 x 600 pixels. If each pixel can represent 65,000 colors, then what is the total amount of memory required to support the display? Question 5
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october_2001 - Department of Electrical and Computer...

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