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 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.