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System Software and Computing Concepts (032025-NYY) Tutorial 2: Data Representation

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Convert the binary number 1101 to decimal.

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Question textCharacter encodings Complete the questions below based on the following encoding table. The table contains 128 different characters, numbered from 0 to 127. Note how the characters of the English alphabet are not listed in the usual order. However, the order of lower-case and upper-case characters is the same: The table lists the lower-case characters first (starting with n, w, f, ...), followed by some symbols and then the upper-case characters (N, W, F, ...). For each character, you are given its hexadecimal code. For example, the character ] has hex code 2a. ! 00 j 20 Y 40 … 60 @ 01 * 21 M 41 æ 61 # 02 ( 22 T 42 “ 62 $ 03 ) 23 H 43 ‘ 63 % 04 - 24 B 44 « 64 ^ 05 + 25 G 45 » 65 & 06 = 26 O 46 ™ 66 n 07 { 27 S 47 £ 67 w 08 } 28 L 48 ¢ 68 f 09 [ 29 C 49 € 69 i 0a ] 2a K 4a ∞ 6a x 0b ∫ 2b A 4b § 6b r 0c \ 2c V 4c ¶ 6c q 0d : 2d E 4d • 6d y 0e 0 2e U 4e ª 6e m 0f 1 2f P 4f º 6f t 10 2 30 D 50 ≠ 70 h 11 3 31 Z 51 ± 71 b 12 4 32 J 52 ‡ 72 g 13 5 33 ; 53 | 73 o 14 6 34 " 54 74 s 15 7 35 < 55 ¯ 75 l 16 8 36 > 56 ˘ 76 c 17 9 37 , 57 ¿ 77 k 18 0 38 . 58 Ú 78 a 19 N 39 / 59 Æ 79 v 1a W 3a ? 5a µ 7a e 1b F 3b ` 5b © 7b u 1c I 3c ~ 5c ® 7c p 1d X 3d ≤ 5d ¬ 7d d 1e R 3e ≥ 5e √ 7e z 1f Q 3f ÷ 5f ≈ 7f Encoding and number systems Convert the letters of the word "Lion" into the corresponding character codes from the table above. The final letter has already been converted for you. You can look up the hexadecimal code in the table. Then convert the code into the different number representations (decimal, binary) by hand. Enter each number without leading zeros, and without type indicators such as 0x or 0b. [table] Character | Hex | Decimal | Binary L | Answer 1 Question 2 | Answer 2 Question 2 | Answer 3 Question 2 i | Answer 4 Question 2 | Answer 5 Question 2 | Answer 6 Question 2 o | Answer 7 Question 2 | Answer 8 Question 2 | Answer 9 Question 2 n | 07 | 7 | 111 [/table] Decoding Decode the following 4-letter word. Each character is given in binary notation. Convert the binary to hexadecimal and then look up the character in the encoding table above. [table] Binary | Hex | Character 111010 | Answer 10 Question 2 | Answer 11 Question 2 10100 | Answer 12 Question 2 | Answer 13 Question 2 10110 | Answer 14 Question 2 | Answer 15 Question 2 1001 | Answer 16 Question 2 | Answer 17 Question 2 [/table]

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