HEXA DECIMAL SYSTEM

Decimal system?

A system of counting or measurement.

Uses a notation in which each number is expressed in base10.

Hexa decimal system?

Known as hexa (6), decimal (10) i.e, sixteen. Base 16 number system.
                         

Representation:

0-9 values represent zero to nine and A, B, C, D, E, F or alternatively a, b, c, d ,e, f to represent ten to fifteen.

Purpose:

Easier to express binary number representations in hex than in any other number system.

Hexadecimal for computer addressing:

Easy to convert binary words need to group 4 bits one after another.

Decimal, binary and hexadecimal converter table:

Decimal	Binary	Hexadecimal
0	0000	0
1	0001	1
2	0010	2
3	0011	3
4	0100	4
5	0101	5
6	0110	6
7	0111	7
8	1000	8
9	1001	9
10	1010	A
11	1011	B
12	1100	C
13	1101	D
14	1110	E
15	1111	F

Examples:
Converting Binary to hexadecimal:

                             

Converting Hexadecimal to binary:

Convert decimal to hexadecimal:

Convert octal to hexadecimal:  

                 

Advantages:

Very compact.
Store more information.

Quick and easy to convert between hexa decimal numbers and binary.

Disadvantages:

Human find it hard to deal it is not designed for humans.

Difficulty in reading bunch of 0's and 1's.

Applications:

Used by programmers for locations in memory.

Representation of binary coded values.

Computers work on binary but convenient to convert in to hexadecimal system.