Posted By on September 30, 2014

Following are the characteristics of a hexadecimal number system.

• 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

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.

To use this table, simply follow the directions used in this example: Add: A16 and 516.Locate A in the X column then locate the 5 in the Y column. The point in sum area where these two columns intersect is the sum of two numbers.

A16 + 516 = F16.