What is Hexadecimal Number System ? Its Examples | Quicky Tech

 HEXADECIMAL   NUMBER SYSTEM

The hexadecimal numeral system,  often shortened to " hex", is a numeral system made up of 16 symbols (base 16). The standard numeral system is called decimal (base 10) and uses ten symbols: 0,1,2,3,4,5,6,7,8,9. Hexadecimal uses the decimal numbers and six extra symbols.

Hexadecimal Number System is one the type of Number Representation techniques, in which there value of base is 16. That means there are only 16 symbols or possible digit values.

The word “Hexadecimal” means sixteen because this type of digital numbering system uses 16 different digits from 0-to-9, and A-to-F. Hexadecimal Numbers group binary numbers into sets of four digits.

Characteristics of Hexadecimal Number System

Similarly, converting hexadecimal based numbers back into binary is simply the reverse operation. Then the main characteristics of a Hexadecimal Numbering System is that there are 16 distinct counting digits from 0 to F with each digit having a weight or value of 16 starting from the least significant bit (LSB).

Representation of a Hexadecimal Number

MSB	Hexadecimal Number							LSB
168	167	166	165	164	163	162	161	160
4.3G	2.6G	16M	1M	65k	4k	256	16	1

This adding of additional hexadecimal digits to convert both decimal and binary numbers into an Hexadecimal Number is very easy if there are 4, 8, 12 or 16 binary digits to convert. But we can also add zero’s to the left of the most significant bit, the MSB if the number of binary bits is not a multiple of four.

For example, 110010110110012 is a fourteen bit binary number that is to large for just three hexadecimal digits only, yet too small for a four hexadecimal number. The answer is to ADD additional zero’s to the left most bit until we have a complete set of four bit binary number or multiples thereof.

APPLICATIONS OF HEXADECIMAL NUMBER SYSTEM

The Hexadecimal, or Hex, numbering system is commonly used in computer and digital systems to reduce large strings of binary numbers into a sets of four digits for us to easily understand.

ADVANTAGES AND DISADVANTAGES OF HEXADECIMAL NUMBER SYSTEM

There is wide number of advantages in data science field, artificial intelligence and machine learning. The major disadvantage of Hexadecimal number system is that it may not an easy to read and write for people, and also difficult to perform operations like multiplications, divisions using hexadecimal number system. 

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