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3 - December 2004 [WEBCT] (Julien ne Karwaya Tha)

# 3 - December 2004 [WEBCT] (Julien ne Karwaya Tha) -...

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1 Department of Electrical Engineering McGill University ECSE 221 Introduction to Computer Engineering I Final Examination Monday, December 6 th , 2004 2:00pm Examiner: Prof. F.P. Ferrie Associate Examiner: Prof. D.A. Lowther Instructions: Answer ALL questions in the examination booklet provided, showing all of your work. Calculators are permitted, but they must be the Faculty standard. All questions are equally weighted. Question 1 a) A TV camera connected to a PC acquires a 640 x 480 pixel image 30 times per second. Assuming that each pixel i) can represent one of 16 million colors, and ii) is represented by an integer number of bytes, how much disk space is required to store 10 minutes of video acquired by this camera? [2 points] b) Determine the equivalent precision of the number 14B6.A31 16 in Base-3. [2 points] c) An IEEE-like floating point representation is implemented on a computer with a 36-bit register length. Assuming that a 10-bit exponent is used, determine the range, precision, and bias of this representation. [2 points] d) Encode the number -1.52 x 10 30 using the floating point scheme described in Part (c). (If you are unsure of your answer, you may encode the number using IEEE-754, but with a 1 point penalty). [4 points] e) Determine the minimal canonical forms corresponding to the following product of sums form: (1,3,4,5,6,7,8,9,12,14) A , B , C , D C . [2 points] Question 2 a) Analyze the circuit shown below and determine whether it corresponds to combinational or sequential logic. Express the output using the appropriate functional form (i.e. Boolean function if combinational or next state equation if sequential). [2 points] 4- i nput mul ti pl exer D3 D2 D1 D0 S0 S1 Q +5V Y X Z

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2 Question 2 cont. b) Analyze the circuit shown below and produce the corresponding state transition table. Assuming that the ROM (read only memory) has an access time Ta = 10nS, and that the
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3 - December 2004 [WEBCT] (Julien ne Karwaya Tha) -...

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