Characteristics of hexadecimal number system are as follows:
● Uses 10 digits and 6 letters, 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F.
● Letters represents numbers starting from 10. A = 10. B = 11, C = 12, D = 13, E = 14, F = 15.
● Also called base 16 number system
● Each position in a hexadecimal number represents a 0 power of the base (16). Example 160
● Last position in a hexadecimal number represents a x power of the base (16). Example 16x where x represents the last position – 1.
Example
Hexadecimal Number : 19FDE16
Calculating Decimal Equivalent:
| Step | Binary Number | Decimal Number |
| Step 1 | 19FDE16 | ((1 x 164) + (9 x 163) + (F x 162) + (D x 161) + (E x 160))10 |
| Step 2 | 19FDE16 | ((1 x 164) + (9 x 163) + (15 x 162) + (13 x 161) + (14 x 160))10 |
| Step 3 | 19FDE16 | (65536+ 36864 + 3840 + 208 + 14)10 |
| Step 4 | 19FDE16 | 10646210 |
Note : 19FDE16 is normally written as 19FDE.
