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4314617
Data Representation
Description
Din ghal min ghandu il computer studies
Mind Map by
aiden williams
, updated more than 1 year ago
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Created by
aiden williams
almost 9 years ago
26
1
0
Resource summary
Data Representation
Binary
Unsigned
00101011 = 43
0------- => Most Significant Bit (MSB)
-------1 => Least Significant Bit (LSB)
2^n -1
8-Bit 0-255 (256 values)
Signed
Sign and magnitude
-43 = 10101011
MSB = Signed Bit (1 = - , 0 = +)
Rest = positive number
2s compliment
binary number (59) l 00111011 one's compliment l 11000100 ................................+1................ two's compliment = 01000101 (-59)
Binary Coded Decimal
123 => 1 = 0001, 2 = 0010 , 3 = 0011
-37 = 1011 , 0000 , 0011 , 0111
Every digit has it's own binary representation
Binary Arithmetic
Addition
10011101 + ------------------- 11001110 ------------------- 01101011
Subtraction
43 +- (20) 43 = 00101011 ..........20 = 00010100 .........-20 = 11101100 ........43-20 = 00101011 + ..................11101100 ................X00010111
X = Arithmetic Flow
Multiplication
11100 * 101 ------------------- 111100 ------------------- 1000000 ------------------- 1110000 ------------------- 10001100
Long Multiplication
Representation of chars
ASCII (8-bit)
UNICODE (16 - bit)
ASCII into Unicode (will work) Unicode into ASCII(won't since file is bigger)
Unicode used more in general purpose computers but because ASCII is smaller it is used in micro-computers like an Arduino board
Representation of Images
Raster
Stored in pixels
Ex: 320 * 200 (8 bit) = 64000 * 1 byte (if 16 -bit *2 bytes)
Storage depends on resolution
(jpeg, gif, bmp, tiff, png)
supports transparancy (kaxex bojod u grizi)
Vector
stored in shapes
Image only resized quality is not restored
(wmf , CAD)
Representation of Sound
Wave for Audio
MP3
sampling rate directly proportional to quality (24bit - 48k quality)
MIDI
Stores as a series of instrument and sounds on soundcard
Synthesizers, soundcards (Mother and Father to baby Wub)
Hexadecimal
0-9 read as integers
10-15 read as A-F
Bin- Hex Hex - Bin
Kemm taqsamom go 4-bit
23c= 16^2*2 + 16^1 + *3 16^0 * 12 572 -------
Dec - Hex
350
21r l E 1 r .l 5 0 r l 1
ans = 15E
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