Hexadecimal Number System

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 16^x where x represents the last position - 1.

Example

Hexadecimal Number : 19FDE₁₆

Calculating Decimal Equivalent:

Step	Binary Number	Decimal Number
Step 1	19FDE16	((1 x 16^4) + (9 x 16^3) + (F x 16^2) + (D x 16^1) + (E x 16^0))10
Step 2	19FDE16	((1 x 16^4) + (9 x 16^3) + (15 x 16^2) + (13 x 16^1) + (14 x 16^0))10
Step 3	19FDE16	(65536+ 36864 + 3840 + 208 + 14)10
Step 4	19FDE16	10646210

Note : 19FDE₁₆ is normally written as 19FDE.