1. Numeric Data Representation
V1.0 (21/10/2005)
Numeric Data Representation

2. Numeric Data Representation
Use “words” to represent number
Write both the digit and the corresponding value
Like
One thousand three hundred and sixty five
Three thousand
Arabian Number
Represent the corresponding value with its position
1365
30000

3. Denary Number Made up of digits from 0-9
Adjacent digits have ten times difference
48610=4 x x x 1

4. Hexadecimal Made up of numeric values from 0-15
A-F used represent 10-15
Adjacent digits have 16 times difference
2BF16 = 2 x x x 160

5. Binary Number Digits made up of 0 and 1
Adjacent digits have two times difference
1010=1 x x x x 20

6. Conversion( binary and hexadecimal to denary )
= 1 x x x x x = 5110
13E = 1 x x x 160
= 31810

7. Conversion( denary to binary)
5110 = 1 x x x x x 20 =
For continuous division, refer to spreadsheet Conversion tools 2 51 25 1 12 6 3
Answer：10011

8. Conversion( denary to hexadecimal)
31810 = 1 x x x 160
= 13E16
For continuous division, refer to spreadsheet Conversion tools 16
318 19 14 1 3
 Answer: 13E

9. Conversion( binary to hexadecimal)
Since 16 = 24, use to represent 0-A (hexadecimal)
From right to left, four in a group. Convert all 0-A
= 9516

10. Conversion( hexadecimal to binary)
use to represent 0-A (hexadecimal)
Each digit in hexadecimal number map to a 4-digit binary number.
If not enough 0, pre-pad zero
81F16 =

11. Binary、Denary、Hexadecimal
0000 1
0001 2
0010 3
0011 4
0100 5
0101 6
0110 7
0111
Denary
Binary
Hexadecimal 8
1000 9
1001 10
1010 A 11
1011 B 12
1100 C 13
1101 D 14
1110 E 15
1111 F