07-Final - Department of Electrical Engineering McGill...

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ECSE 221, April 2007 1 Department of Electrical Engineering McGill University ECSE 221 Introduction to Computer Engineering I Final Examination Monday, April 23 rd , 2007 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 (5 questions, 6 pages). Question 1 a) A digital signal is quantized to 4 different voltage levels. How many digits would be required to represent an analog signal in the range [-3.5 V, 5.2 V] to a resolution of 0.01 V assuming a complement number system? [2 points] b) Determine the range of numbers that can be represented using a modified form of the IEEE-754 floating-point representation, where the exponent field is reduced by 1-bit and the mantissa field is increased by 1-bit. How many significant digits (Base-10) can be represented by the mantissa field? [2 points] c) Determine the minimal canonical forms corresponding to the following sum-of-products form: (0,2,8,10,12,13,15) A , B , C , D " . [2 points] d) Determine the combinational logic function, F, corresponding to the circuit shown below. Express your result as a minimal product-of-sums. [2 points] D7 D6 D5 D4 D3 D2 D1 D0 S0 S1 S2 EN Q +5V D C B A F
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ECSE 221, April 2007 2 Question 1 cont. e) Determine what is produced by the following snippet of “C” code: [2 points] printf(“Output is a single character: %c\n”, 0xbe^0xff); Question 2 Answer the following questions about the circuit shown below. You may assume that the circuit is appropriately cleared at power-on and that M1 and M0 are externally provided inputs. The contents of the ROM = {0, 1, 2, 3, 1, 2, 3, 0, 3, 0, 1, 2, 2, 3, 1, 0}. All flip-flops are rising edge- triggered. IN0
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07-Final - Department of Electrical Engineering McGill...

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