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 an x power of the base (16). Example − 16x where x represents the last position - 1.

### Example

Calculating Decimal Equivalent −

Step 1 19FDE16 ((1 × 164) + (9 × 163) + (F × 162) + (D × 161) + (E × 160))10
Step 2 19FDE16 ((1 × 164) + (9 × 163) + (15 × 162) + (13 × 161) + (14 × 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.
```  