Data Representation Using Binary Digits

Exponential value of the place	16^4	16^3	16^2	16^1
16^0
Decimal value of the place	65,536	4096	256	16	1

Table 4 Exponential and decimal values corresponding to a digit's place in a number
There are two methods for converting hexadecimal into decimal. There is the direct approach using the formula:
_p(b)^p + d_p-1(b)^p-1 + . . . + d₀(b)⁰
Where d_p is the digit in the highest place in the number, and d_p-1 is the next highest place in the number, and so on. b is the base and p is the value of the highest place.
The conversion is as follows:
4 × 16³ + A × 16² + 3 × 16¹ + F × 16⁰ =
4 × 4096 + 10 × 256 + 3 × 16 + 15 × 1 =
16,384 + 2560 + 48 + 15 =
19,007
This method is particularly useful for larger hexadecimal numbers. However, for smaller numbers of one or two digits, it is often faster to convert the hexadecimal number to binary before converting it to decimal. Hexadecimal maintains a relationship with binary as it is a derivative of a base2 system. Each hexadecimal digit represents four binary places. The chart below shows the relationship between binary, hexadecimal, and decimal for 0x0-0xF.

Decimal