how computer represent data number system manner of counting several different number systems...
TRANSCRIPT
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How Computer Represent Data Number system
Manner of Counting Several different number systems
exist
To Computer everything is a number Alphabets, numbers, punctuation
marks, sound, pictures, computer instructions
For example “Here are some words.” 1
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Decimal Numbers Used by humans to count Latin word deci mean 10 Also called Base 10 Have 10 distinct digits
0 1 2 3 4 5 6 7 8 9 10 is a two-digit number Digits combine to make larger numbers
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Binary Number System
Switch has two states Off represents 0, On is 1
Latin bi means 2 Used by computers to count Two distinct digits, 0 and 1
0 and 1 combine to make numbers represent a quantity >1 it uses two
(or more) digits Pattern repeats indefinitely
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Data RepresentationA computer circuit represents the 0 or the 1 electronically by the presence or absence of an electrical charge
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Number Conversion
Decimal to Binary and Binary to DecimalDecimal to Octal and Octal to DecimalDecimal to Hexadecimal and Hexadecimal to
DecimalBinary to HexadecimalOctal to HexadecimalHexadecimal to Binary and Octal
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Decimal To Binary
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Decimal To Binary
(151)10 = (10010111)2
(113)10 = 11100012
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Binary to Decimal
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Binary to Decimal
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Binary to Decimal
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111001111012 = 185310
110110102 = 21810
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Exercise Decimal to Binary
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Decimal to Octal 432110 = 103418
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Octal to Decimal
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Octal to Decimal
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Exercise Decimal to Octal
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Octal to Decimal/Decimal to Octal
7438 = 48310
265258 = 1160510
185310 = 34758
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Binary to Hexadecimal
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Hexadecimal to Binary
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Hexadecimal to Decimal
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Decimal to Hexadecimal
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Decimal to Hexadecimal
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Binary to Hexadecimal
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Hexadecimal to Binary and Octal
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Octal to Hexadecimal
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Binary to Hexadecimal
(10110101010101)2
(1100010010)2
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Octal to Hexadecimal
(344)8
(1422)8
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Complement of a Number
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Complement of a Decimal Number
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Complement of a Octal Number
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Complement of a Binary Number
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Logic Gates
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AND Gate: Block Diagram and Truth Table
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OR Gate: Block Diagram and Truth Table
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NOT Gate: Block Diagram and Truth Table
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NAND Gate: Block Diagram and Truth Table
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NOR Gate: Block Diagram and Truth Table
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XOR Gate: Block Diagram and Truth Table
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Number System - Assignment
Decimal Binary Octal Hexadecimal
(786)10
(555)10
(228)10
(10110011)2
(111100011)2
(111110101100)2
(10341)8
(3475)8
(22466)8
(2D55)16
(BEEF)1638