W08 314 HW9 Solutions

W08 314 HW9 Solutions - EECS 314 Winter 2008 Homework set 9...

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EECS 314 Winter 2008 Homework set 9 Student’s name ___________________________ Discussion section # _______ (Last, First, write legibly, use ink) (use ink) Instructor is not responsible for grading and entering scores for HW papers lacking clear information in the required fields above © 2008 Alexander Ganago Page 1 of 3 Problem 2 Codes in digital circuits The Assignment Part 1 (20 points) In the table below, write ASCII codes for U of M 1817 (do not skip the spaces). For reference, the first row reads capital A. The second line is left blank for your notes. Look up the complete set of codes at http://www.ascii-code.com/ Character ASCII code A 0 1 0 0 0 0 0 1 U 0 1 0 1 0 1 0 1 (space) 0 0 1 0 0 0 0 0 o (lower case) 0 1 1 0 1 1 1 1 f (lower case) 0 1 1 0 0 1 1 0 (space) 0 0 1 0 0 0 0 0 M 0 1 0 0 1 1 0 1 (space) 0 0 1 0 0 0 0 0 1 0 0 1 1 0 0 0 1 8 0 0 1 1 1 0 0 0 1 0 0 1 1 0 0 0 1 7 0 0 1 1 0 1 1 1 Part 1 2 Total
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EECS 314 Winter 2008 Homework set 9 Student’s name ___________________________ Discussion section # _______ (Last, First, write legibly, use ink) (use ink) Instructor is not responsible for grading and entering scores for HW papers lacking clear information in the required fields above © 2008 Alexander Ganago Page 2 of 3 Problem 2, continued Part 2 (20 points) Using the 7-segment display, determine which of the switches should be closed in order to display the “equation” Pi = 3.14 as shown below: Ignore the decimal point. List each closed switch as “1” and each open switch as “0”. For reference, the first two rows read 8 and 2. Character A B C D E F G 8 1 1 1 1 1 1 1 2 1 1 0 1 1 0 0 P 1 1 0 0 1 1 1 i 0 0 0 0 1 0 0 = 0 0 0 1 0 0 1 3 1 1 1 1 0 0 1 1 0 1 1 0 0 0 0 4 0 1 1 0 0 1 1
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EECS 314 Winter 2008 Homework set 9 Student’s name ___________________________ Discussion section # _______ (Last, First, write legibly, use ink) (use ink) Instructor is not responsible for grading and entering scores for HW papers lacking clear information in the required fields above © 2008 Alexander Ganago Page 3 of 3 Part 1 Solution U = 01010101 Space = 00100000 O (lower case) = 01101111 f (lower case) = 01100110 Space = 00100000 M = 01001101 Space = 00100000 1 = 00110001 8 = 00111000 1 = 00110001 7 = 00110111 Part 2 Solution P = 1100111 i = 0000100 = = 0001001 3 = 1111001 1 = 0110000 4 = 0110011
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EECS 314 Winter 2008 Homework set 9 Student’s name ___________________________ Discussion section # _______ (Last, First, write legibly, use ink) (use ink) Instructor is not responsible for grading and entering scores for HW papers lacking clear information in the required fields above © 2008 Alexander Ganago Page 1 of 4 Problem 3 Memory required for data storage The Big Picture As you know from lecture notes, music on CD is recorded with 16- or 20-bit resolution, at the sampling rate of ~ 44 kHz. As you know from reading the labels, a blank CD has the capacity of 700 MB (megabytes; 1 Byte = 8 bits; 1 MB ~ 10 6 Bytes) and is rated for 80 minutes of music recording. In this Problem, you will “put 2 and 2 together” in order to see whether all of the above numbers make sense. The Assignment Part 1 (15 points) Assume that the music is recorded in two channels (stereo = left and right) that have the same resolution of 16 bits and the same sampling rate of 44 kHz. Calculate the amount of memory in MB required to record 1 minute of music.
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W08 314 HW9 Solutions - EECS 314 Winter 2008 Homework set 9...

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