Number System Operation

Lecture One / Number System Operation
1. Decimal Numbers System.
2. Binary Numbers System.
3. Octal Numbers System.
4. Hexadecimal Numbers System.
1. Decimal Number System: It is the oldest known system and it is
consist of ten numbers (0,1,2,3,…..,9), (base 10).
Decimal weight … …104 103 102 101 100. 10-1 10-2 10-3 ….
 

a5 a4 . a3 a2 a1 = a5*r1 + a4*r 0+ a3*r -1 + a2*r -2 + a1*r -3
Where r =10.
2. Binary Number System: Its two digits a base-two system. The
two binary digits (bits) are 1 and 0.
Binary weight 23 22 21 20
Weight value 8 4 2 1
 

= 8 + 0 + 2 + 1 = (11)10