Hexadecimal Number System

Hexadecimal system, i.e number system having 16 base is used as a convenient representation of binary numbers.This system contains only this 16 digits that are represented as follows :

Conversion of Binary Number into Hexadecimal Number :

Start from the right and group 4 bits at a time, replacing each 4-bit binary number with its hex equivalent.

Example 1 :

                     represent 111001000110 in hex.

                                 1110   0100 0110

                           =        E         4       6       

Example 2 :

                     represent  10101001101  in hex.

                                   101   0100  1101

                           =        5        4        D      (here in last part 101=0101)

Conversion of Hexadecimal Number into Binary Number :

 Replace each hex digit with its 4-bit binary equivalent.

Example :

                  convert 38C into binary.

                                      3        8        C

                            =   0011    1000   1100

Conversion of Decimal Number into Hexadecimal Number :

• Convert to binary first and then convert to hex
• Convert directly from decimal to hex by repeated division, keeping track of the remainders

Conversion of Hexadecimal Number into Binary Number :

• Convert from hex to binary and then to decimal
• Convert directly from hex to decimal by summing the weight of all digits

                                                           reference :The 8051 microcontroller and embeded systems by mazidi