NUMBER SYSTEM BASE

Most of the numbering system will have a base.The maximum number that can  be represented on the single digit or number is called a base

System	Base	Possible digits
Binary	2	0   1
Octal	8	0   1   2  3  4  5  6  7
Decimal	10	0   1   2  3  4  5  6  7  8  9
Hexadecimal	16	0   1   2  3  4  5  6  7  8  9  A  B  C  D  E  F

                               
                                Table 1:The types of number system

Decimal number 

•   Base of 10.

•   The positive and negatives values are determined by their position weight structure.For example:

               10⁵  10⁴ 10³  10²  10²   10^{1              (Positive value)}                10²  10¹  10^-1  10^-2  10^-3              (Negative value)

Binary number

• Base 2

• The number consists only two digit 0 and 1 only

• The weight of structure of binary number is:

         2^n-1  2³  2²  2¹  2⁰   2^-1  2^-2   2^-n

^{Hexadecimal number}

• Base of 16

• The composed number starts from 0 until F

• The number is suitable to present in four bits number

                                   

DECIMAL	BINARY	HEXADECIMAL
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	1101	C
13	1100	D
14	1110	E
15	1111	F