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# EECS270-W09-EXAM1Answer - The University of Michigan EECS...

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1 The University of Michigan EECS 270: Introduction to Logic Design Winter 2009 Exam 1 Professor Kang Shin Professor Valeria Bertacco Wednesday February 11, 2009 7:00 to 8:30 pm Name: ________________________________ UMID: ________________________________ Honor Pledge: “I have neither given nor received aid on this exam, nor have I concealed any violations of the Honor Code.” Signature: ____________________________ 1: _______ /9 2: _______ /8 3: _______ /20 4: _______ /15 5: _______ /12 6: _______ /8 7: _______ /12 8: _______ /6 9: _______ /10 Total : _______ /100 Instructions The exam is closed book . No books, notes or the like may be used. No computers, calculators, PDAs, cell phones or other electronic devices may be used Print your name, give your UMID, and sign the Honor Pledge above when you are done. Show all your work . You get partial credit for partial answers. The exam consists of nine problems with the point distribution indicated on the right. Please keep this in mind as you work

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2 13.625 1001001011.11 1113.6 24B.C 1673051160 1110 1110 1100 0101 0010 0111 0000 Problem 1 : [Number conversion: 9 points] a. [2 points] Convert the following binary number to decimal: 1101.101 2 b. [5 points] Convert the following decimal integer to binary, octal and hexadecimal: 587.75 10 Binary Octal Hex c. [2 points] Convert the following hexadecimal integer to octal and binary: EEC5270 16 Binary Octal
3 1010012.2 11101000 6 Problem 2 : [Positional number systems: 8 points] a. [4 points] Convert the decimal number 815. 6 10 to base 3. b. [2 points] What is the 2's complement of 00011000 2 ? c. [2 points] What is the 2's complement of A 16 ? Provide your answer in hexadecimal

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4 Problem 3 : [Combinational logic design: 20 points] The University wants to go green and save some money on the electricity bill. You have been selected to design a combinational logic circuit that automatically manages the lights and the cooling/heating system in the classroom. Every classroom has one light (L), one heater (H), and one cooler (C) that you can control (they will be the outputs of your circuit). If L = 1 the light is on; if H = 1 the heating system is on, and if C = 1 the cooling system is on.
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