DIGITAL NUMBER SYSTEM
A number system defines a set of values used to represent quantity, which in turns help us to make sense of our environment.
The most common are the decimal, binary, octal, and hexadecimal systems These are base 10 base 2 base 8 and base 16 number systems, respectively.
The decimal system is clearly the most familiar to us because it is a tool that we use every day
INFORMATION REPRESENTATION
Elementary storage units inside computer can be considered as electronic switches Each switch holds one of two states: on (1) or off (0).
We use a bit (binary digit), 0 or 1, to represent the state
INFORMATION REPRESENTATION
In general, N bits can represent 2 N different values.
For M values, log2𝑀 bits are needed.
THE DECIMAL NUMBER SYSTEM
The primary number system used is a base ten number system
Base 10 number systems are called decimal number systems
Ten digits 0 1 2 3 4 5 6 7 8 and 9
Positional value may be stated as a digit multiplied by a power of 10
DIFFERENT NUMBER SYSTEM
Octal Number System (base 8 Number system with only
eight numerals 0 1 2 3 4 5 6 7
Hexadecimal Number System (base 16 Number system
with sixteen numerals 0 1 2 3 4 5 6 7 8 9 A, B, C, D, E, F
Binary Number System (base 2 Number system with only
two numerals 0 and 1 Digital computer manipulates discrete
elements of information and that all information in the computer
is represented in binary form.
BASE-R TO DECIMAL CONVERSION
CONVERTING DECIMAL INTEGER TO ANY BASE-R
CONVERTING DECIMAL FRACTION NUMBER TO BASE-R
