# Hexadecimal number system.

So far we have seen three number systems and we are familiar with the number systems. Now we will be discussing another number system that is more commonly used in the electronic industry, the hexadecimal number system from the name by this you would have guessed it. Yes, this number system uses 16 symbols or digits.

The radix or the base of the hexadecimal number system is 16 since it involves 16 symbols in counting as well as various arithmetic and logical operations.

The hexadecimal number system starts from 0 to F ( i.e. 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F).

It would take sometime for you to get adjusted to this number system, which uses a both digits and alphabets.

The positional weights in the hexadecimal number system are all powers of 16.

The general format of hexadecimal number system is illustrated below.

16^{4} 16^{3} 16^{2} 16^{1} 16^{0} 16^{-1} 16^{-2} 16^{-3} 16^{-4 }←** Hexadecimal Weights**

S_{4 } |
S_{3 } |
S_{2 } |
S_{1 } |
S_{0 } |
. |
S_{-1 } |
S_{-2 } |
S_{-3 } |
S_{-4 } |

** ****↑**** ↑ ****↑**

**MSD Hexadecimal point LSD**

where

**MSD i the most significant digit**

** LSD is the least significant digit**

** ****S _{1}**

**,S**

_{2}**,S**

_{3 ….}**Sn**

_{ }**are values assigned.**