SI283 - Lesson 02 - Data Representation.

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Published on December 17, 2008

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SI 283 Programming for the Systems Engineer : SI 283 Programming for the Systems Engineer Lesson 2 – Data Representation Data Representation : Data Representation She began her career at the age of 7 when she auditioned for a role in a child singing group. The group was made up of her, Latavia Roberson, X's cousin, Kelly Rowland and LeToya Luckett. Her musical influences include, The Supremes, Jackson 5. She and the other members of her group started off small, doing local events but got their break when performing on Star Search. Their young energy and sound was a revelation for Hip Hop/ R&B music during the 90's. Soon after that Destiny's Child got it's formal name and started doing bigger gigs and were the opening act for other groups like SWV, Dru Hill and Immature. They released their self titled album in 1998 and X was the cornerstone in the group. Working out most of the lyrics and sound for the new group. She was the dominent lead singer in the group and no one could dispute. X was responsible for most of the lyrics for hit songs, NO, NO, NO, BILLS, BILLS, BILLs and many of their other top 10 hits. In March of 2000 LeToya and Latavia left Destiny's Child because X and Matthew Knowles were causing them distress and not giving them the freedom to develop as artists on their own and contribute. Two replacements, Michelle Williams and Farrah Franklin were hired to take their place and keep the band going. X got her first big film break in the Austin Powers: In Goldmember. Besides that her recent song, Survivor with Destiny's Child has cemented her superstardom. She will most likely be appearing in other Hollywood productions and will continue to perform her music. The sexy first single, "Crazy In Love," featuring Jay-Z, was co-produced by X and Rich Harrison. Jay-Z returns the favor for X's part on his hit "Bonnie and Clyde 03." Laced with an Arabic ambience, fused with a ghetto-fied edge and encompassing a sample from Donna Summer's "Love to Love You Baby," "Naughty Girl" is uptempo and party perfect. Also sexy is the dancehall-Arabic flavored "Baby Boy," featuring the red hot Sean Paul. She co-stars with Cuba Gooding Jr. in "The Fighting Temptations." She has two more features currently in production and can also be seen on the small screen in a series of Spike Lee-directed commercials for Pepsi-Cola. She is also the spokesperson for L'Oreal. But it’s easier to represent as: : But it’s easier to represent as: Beyonce Digital Data Representation : Digital Data Representation Physical Implementation from Analog to Digital Data Low Voltage (0-.8v), High Voltage (2-5v)* *Source: www.electronics-tutorials.ws/logic/logic_1.html 0 0 1 1 0 0 Digital Data Representation : Digital Data Representation With just 1’s and 0’s ’11 is a great year to graduate but what about other Numbers Letters Color Pixels Sound Digital Data Representation : Digital Data Representation Like we called that entire biography, “Beyonce”, we can call letters, sounds, colors something we can agree to (usually a large number) So how do we make a large number? Bits/Bytes : Bits/Bytes A bit is the most basic unit of information Represented as “On” (1) or “Off” (0) A byte is a group of eight bits Most common data representation So how big is a kilobyte…1000 bytes right…not quite 1024 (210) Decimal Review : Decimal Review 2009 + 9 X 100 = 9 + 0 X 101 = 0 + 0 X 102 = 0 2 X 103 =2000 Decimal Review : Decimal Review 1001 + 1 X 100 = 1 + 0 X 101 = 0 + 0 X 102 = 0 1 X 103 =1000 Binary : Binary 10012 + 1 X 20 = 1 + 0 X 21 = 0 + 0 X 22 = 0 1 X 23 = 8 Hexidecimal16 : Hexidecimal16 Same idea, used to abbreviate Binary Sometimes written D17A16 or 0xD17A 0 1 2 3 4 5 6 7 8 9 A B C D E F Where the A is 10, B is 11… 7 D B16 11 X 160 13 X 161 7 X 162 + + + = 201110 Hex to Binary : Hex to Binary *Works to make 4 groups of binary numbers because 24 = 16 OR Convert to Decimal then to Binary 1011 1101 0111 0111110110112 7 D B16 11 X 160 13 X 161 7 X 162 + + + = 201110 * 0 X 211+…+…+1 X 20 Decimal to Binary or Hex : Decimal to Binary or Hex 2 0 1 110 Binary What power of 2 is as close to 2011 as possible without going over 20 21 21 23 24 25 26 27 28 29 210 211 1 2 4 8 16 32 64 128 256 512 1024 2048 So 11th Digit is a 1 Now, 2011-1024 = 987 What power of 2 is as close to 987 as possible without going over 1 2 4 8 16 32 64 128 256 512 1024 So 10th Digit is a 1 Now, 987-512 = 475 You get the idea…if that power doesn’t go into it without going over put in a zero Hex Same thing just ask what power of 16 is as close without going over ASCII Characters : ASCII Characters Go Navy! Just another representation (International Standard) Do NOT confused with HEX representation Table of values can be found at http://www.asciitable.com/ 71 78 97 118 111 121 33

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