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Number and Character Coding System ((used by computers to communicate with…
Number and Character Coding System
used by computers to communicate with programmes
the number system use in daily life
computer's representation of numbers(only formed by 0 and 1)
Denary(base 10) Binary(base 2) Hexadecimal(base 16)
0 0000 0
1 0001 1
2 0010 2
3 0011 3
4 0100 4
5 0101 5
6 0110 6
7 0111 7
8 1000 8
9 1001 9
10 1010 A
11 1011 B
12 1100 C
13 1101 D
14 1110 E
15 1111 F
Binary to Denary
eg.1011(bin) comfort to denary
1011(bin)
1 ³ + 0² + (1x2) + (1x0)
=11(den)
Hexadecimal to Denary
eg.2CA9(hex) comfort to denary
2CA9(hex)
2x16 ³ + 12x16 ² + 10x16 +9x0
=11433(den)
3.3 Number representation in Computer System
Byte
Word
Bit
3.4 addition and subtraction
of different number representation
overflow error occurs when the result cannot be represented by fixed number
overflow error occurs when two numbers of the same sign are added and the result has the opposite signs
3.5 character coding sytems
represents characters ,more manipulated efficiently by a computer
ASCII 7bits 2^7 including alphanumeric characters and graphics symbols
BIG5 GB represent traditional and simplifted chinese characters
2bytes represent one character
use different codes to represent the same chinese characters
3.1 Denary,Binary and Hexadecimal Number Systems
Denary
Binary
Hexadecimal
3.2 Number System Conversion