Topic 1 Subtopic 1: Number System

In mathematics, a number system is an orderly method of representing numbers by numerals in which each numeral is associated with a unique number which is also known as numeral system.  
A numeral system  is a writing system to express numbers, which is a mathematical notation for representing numbers of a given set, using digits or other symbols in a consistent manner.

On the other words, a numeral system will represent a useful set of numbers (e.g. all integers, or rational number), give every number represented a unique representation and reflect the algebraic and arithmetic structure of the numbers.
There are many different number systems, with the main difference between them being the number of symbols used . Decimal numbers have the base 10, binary numbers have the base 2, octal numbers have the base 8, and hexadecimal   numbers have the base 16. 

Those number systems are commonly used in computing. Hexadecimal numbers are especially important in the field of computing, because they provide a convenient way of expressing binary values. 

Each hexadecimal digit can be used to represent a group of four binary digits (or bits), and a pair of hexadecimal digits can be used to represent a  byte (a group of 8 binary digits).

For binary number, it is great stuff in computing, because they have no big addition tables and also multiplication tables to learn, therefore can work very fast. They also use two values only, this will makes the hardware easier to design. 

Here is a table for decimal, binary, octal, and also hexadecimal numbers:

Soon Boon Jian          B031210199