## Hexadecimal System

Hexadecimal describes a numbering system which contains 16 sequential numbers as base units including 0.

The hexadecimal numbers are 0-9 and then we use the letters A-F. The example of the equivalence of binary, decimal, and hexadecimal numbers are shown in the table below.

Hexadecimal is used to convert byte/modern computer numbers into defined binary digits. In order to convert any value from hexadecimal to binary ,one has to translate each hexadecimal digit into its 4 bit binary equivalent. And so two hexadecimals can show eight binary digits/ 1 byte.It is used in debugging a new computer program or coding a new program or HTML page.

## Binary System

Binary representation is done by 0 and 1 only. They are used in computer science all the time for storing all the values in a string of binary digits of 0s and 1s. This system makes the computational problems easy solvable because in electronic systems transistor uses only these two states.

## Decimal System

Decimal system claims to be the oldest system of all and historically arose from Hindu numeral system.

Decimal number system is the most common and the familiar system used by all of us.It is based on 10 of the following symbols: 0,1,2,3,4,5,6,7,8 and 9.In decimal system, every digit has its own position as well as the decimal point.

Decimal to binary conversion examples

## (62)_{10} = (111110)_{2}

## (142)_{10} = (10001110)_{2}

## (4098)_{10} = (1000000000010)_{2}