Homework01-sol

Homework01-sol - Homework #01 Solution (Individual work,...

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Homework #01 Solution (Individual work, due Friday 9-21-07) Last Name First Name Student ID Number 1 2 3 4 5 6 7 8 9 Total Grader’s Initials 20 15 10 5 5 5 5 15 20 100 A. Review of pre-requisite material 1a. (5 points) Express the following decimal integer in hex notation for 24-bit two's complement representation. -5980 10 = FFE8A4 16 Grading: 5 points for correct hex, 2 trying, 0 for no answer 1b. (5 points) The following signed numbers in 2’s complement form are given in hexadecimal notation. Give the answer in normal base-10 notation, including sign. D28B 16 + 0723 16 = 55726 10 Grading: 5 points for correct decimal, 2 trying, 0 for no answer. Accept also –9810, which is correct if we consider them 16-bit, rather than 24-bit, numbers 1c. (5 points) 33.73 10 = 0010 0001.1011 1010 1110 2 (8 bits for integer part, 12 bits for fraction) Grading: 3 points for correct fraction, 2 for correct integer, 0 for no answer 1d (5 points) 1101.01101011 2 = 13.418 10 (3 digit integer, 3 digit fraction) Grading: 3 points for correct fraction, 2 for correct integer, 0 for no answer 2a. (5 points) Find f(a,b) from this circuit: f(a,b) = (((a+b’)b)’a’)’ + b Grading: 5 points for correct, 2 for trying, 0 for no answer ECE-562 Computer Organization, Fall 2007 Page 1 of 5
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z y x f f' 0 0 0 0 1 0 0 1 1 0 0 1 0 1 0 0 1 1 1 0 1 0 0 0 1 1 0 1 1 0 1 1 0 0 1 1 1 1 0 1 2b. (5 points) Simplify f(a,b) function as much as possible, showing all work. What type of single gate would give equivalent results? (AND, OR, NAND, etc.)?
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Homework01-sol - Homework #01 Solution (Individual work,...

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