ប្រព័ន្ទរបាប់ (numeral system)

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វវវវវវវវវវវវវវវ វវវវវវវវវ វវវវវវវវវវវ វវវវវវវវវវវវវវវវវវវវ វវវវវវវវវវ វវវវវវវវវវវវវវវវវវវវវវវវវវវវវវ វវវវវវវវវ វ វវវវវវវវវវវវវ វវវវវ វវវវវ វវវវវវវវវវវវវវវវវវ វវវវវវវវវវវ វ វវវវ - វវវវ

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(Introduction) (Binary) (Octal) (Hexadecimal) (Duotrigesimal) (Tetrasexagesimal) (Conversion) (Advantages and Usages) (Reference)

I. 1. (Decimal) (Binary) (Octal)

(Hexadecimal) A F (Duotrigesimal) A Z (Tetrasexagesimal) ; A,B,C,,Z a,b,c,,z + /

Reference: http://en.wikipedia.org/wiki/List_of_numeral_systems#Bijective_numeration http://www.tutorialspoint.com/computer_fundamentals/computer_number_system.htm

2. (Digit Value)

II. 1. Binary Gottfried Wilhelm Leibniz Binary The Explanation of the Binary Arithemtic

Sir. Leibniz

2. (Binary) Binary ? (Base 2) (2 Digits) Binary (101)2 (10011110)2

Binary Digit Bit Binary n bits n bits number BinaryDecimal00000011010201131004101511061117

3 bits number 1 bit = 0 11 byte = 8 bits = 1 2 bytes = 16 bits = 4 bytes = 32 bits = 8 bytes = 64 bits =

3. Binary 3.1. Binary 0 + 0 = 01 + 0 = 10 + 1 = 1 1 + 1 = 0 ( 1)

1011 111111 111

3.2. Binary

110 101000 101

3.2. Binary

10 101001 11

3.2. Binary

1010 100 10 100

III. (Octal)

Emmanuel Swedenborg James Anderson (Octal) Sir. Emmanuel1. Octal

2. Octal Octal ? 8 (Base 8) 8 (8 Digit) 0,1,2,3,,7 Binary (034)8 (71123)8

3. Octal 3.1. Octal

254 346574 651

3.2. Octal Octal Decimal

621 5637642 653

3.3. Octal

265 5 631 352x1=23x1=34x1=45x1=56x1=67x1=72x2=43x2=64x2=105x2=126x2=147x2=162x3=63x3=124x3=145x3=176x3=227x3=252x4=103x4=144x4=205x4=246x4=307x4=342x5=123x5=174x5=245x5=316x5=367x5=432x6=143x6=224x6=305x6=366x6=447x6=522x7=163x7=254x7=345x7=436x7=527x7=61

3.4. Octal

5722x1=23x1=34x1=45x1=56x1=67x1=72x2=43x2=64x2=105x2=126x2=147x2=162x3=63x3=124x3=145x3=176x3=227x3=252x4=103x4=144x4=205x4=246x4=307x4=342x5=123x5=174x5=245x5=316x5=367x5=432x6=143x6=224x6=305x6=366x6=447x6=522x7=163x7=254x7=345x7=436x7=527x7=61

5632 3 6

IV. (Hexadecimal) . MERVIN CHARLEMAGNE MERVIN

King. CHARLEMAGNE1. Hexadecimal

2. Hexadecimal Hexadecimal ? 16 (Base 2) 16 (16 Digits) 0,1,2,3,,9 A,B,C,,F A,B,C,,F 10,11,12,,15 Hexadecimal 0x....

(911A)16 (FBFADE)16 0x10187E

3. Hexadecimal 3.1. Hexadecimal

FADE FB 911 AC

3.2. Hexadecimal Hexadecimal Decimal

98 AABCD EF

3.3. Hexadecimal

BE 9 DA E

3.4. Hexadecimal

1CE DE A 7

V. (Duotrigesimal) Duotrigesimal ? 32 (Base 32) 32 (32 Digits) 6 2,3,4,5,6,7 26 A,B,C,,Z Transfer Encoding Reference: http://www.cooins.com/images/docs/Base32.pdfhttp://en.wikipedia.org/wiki/Base32

VI. (Tetrasexagesimal) Tetrasexagesimal ? 64 (Base 64) 64 (64 Digits) 10 0,1,2,,9 ; 52 A,B,C,,Z a,b,c,,z 2 + / Reference: http://home.scarlet.be/colleman/upgrades/base64.pdfhttp://en.wikipedia.org/wiki/Base64

VII. 1. Decimal Decimal Decimal

2. Decimal Decimal

3. Non-Decimal Non-Decimal Non-Decimal Non-Decimal Decimal Decimal

3.4096204810245122561286432168421

BinOctDecHex00000000001111001022200113330100444010155501106660111777100010881001119910101210A10111311B11001412C11011513D11101614E11111715F

IX. IP Address and Subnet MaskWhat is IP Address?IP (Internet Protocol) Network IPv4 IP Address Binary 32 bits Subnet Mask the network portion IPv4 address

IPv6 IP Binary 128 bits

Programming Languages:Machine LanguageAssembly LanguageHigh-Level LanguageC/C++ Programming LanguageJava Programming LanguageReference: Beginning Programming - A L L - I N - ONE DESK REFERENCE FOR DUMMIES by Wallace Wang

Bar-code and QR-code

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Hexadecimal in C++

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http://en.wikipedia.org/wiki/List_of_numeral_systems#Bijective_numerationhttp://en.wikipedia.org/wiki/Binary_numberhttp://en.wikipedia.org/wiki/Octalhttp://en.wikipedia.org/wiki/Hexadecimalhttp://en.wikipedia.org/wiki/Base32http://en.wikipedia.org/wiki/Base64http://www.iitg.ernet.in/asahu/cs221/Lects/Lec02.pdfhttp://www.theproblemsite.com/codes/binary.asphttp://www.tutorialspoint.com/computer_fundamentals/computer_number_system.htmhttp://www.tutorialspoint.com/computer_fundamentals/computer_number_conversion.htmBeginning Programming - ALL - IN - ONE DESK REFERENCE FOR DUMMIES by Wallace Wang

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