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sp11-sw-s2 - ECE 2030 A 11:00am 4 problems 5 pages Computer...

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ECE 2030 A 11:00am Computer Engineering Spring 2011 4 problems, 5 pages Exam Two Solution 9 March 2011 Problem 1 (3 parts, 31 points) Numbers of Reason Part A (13 points) Convert the following notations: binary notation decimal notation 1 1100 1001.1001 457.5625 1 1111 0001 497 1 1001.11 25.75 binary notation hexadecimal notation 101 1010 0101.0101 1010 101 5A5.5AA 1100 1010 0001 0001.1100 1010 1011 CA11.CAB Part B (12 points) For the 25 bit representations below, determine the most positive value and the step size (difference between sequential values). All answers should be expressed in decimal notation . Fractions (e.g., 3/16ths) may be used. Signed representations are two’s complement. representation most positive value step size unsigned fixed-point (20 bits) . (5 bits) 1M 1/32 signed integer (25 bits) . (0 bits) 16M 1 signed fixed-point (13 bits) . (12 bits) 4K 1/4K signed fixed-point (9 bits) . (16 bits) 256 1/64K Part C (6 points) A 25 bit floating point representation has a 17 bit mantissa field, a 7 bit exponent field, and one sign bit.
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