Hexadecimal To Decimal Converter


16
10

How to convert a hexadecimal number to the decimal number?

To convert a hexadecimal number to decimal, assign each digit its decimal value, then multiply that value by the matching power of 16. Digits 0-9 keep their normal values, while A=10, B=11, C=12, D=13, E=14, and F=15. Add the products together to get the decimal result.

For a hexadecimal digit dn, n is the position of that digit:

dn-1 .... d4 d3 d3 d2 d1 d0 . d-1 d-2 d-3

The decimal number is equal to the sum of hexadecimal digits (dn) times their power of (16n):

decimal = dn-1 x 16n-1 + .... + d1 x 161 + d0 x 160 + d-1 x 16-1 + .... + d-n x 16-n

Hexadecimal to Decimal Conversion

An example of hexadecimal to decimal conversion:

Convert (A7.62)16 to decimal.


Hexadecimal number: A 7 . 6 2
power of 16: 161 160 . 16-1 16-2

(A7.62)16 = (?)10
= 10 x 161 + 7 x 160 + 6 x 16-1 + 2 x 16-2
= 40 + 7 + 0.75 + 0.03125
= (47.78125)10

Hexadecimal to decimal conversion table:

Hexadecimal Decimal
0 0
1 1
2 2
3 3
4 4
5 5
6 6
7 7
8 8
9 9
A 10
B 11
C 12
D 13
E 14
F 15
10 16
11 17
12 18
13 19
14 20

Hexadecimal to decimal guide

Hexadecimal to decimal conversion uses powers of 16. Convert each hex digit to its decimal value, multiply by the matching power, then add the results.

Best uses

  • Translate hex values used in programming or debugging.
  • Understand color, memory, and byte values.
  • Check base-16 math examples.

Quality checks

  • Convert A, B, C, D, E, and F to 10 through 15.
  • Start the rightmost whole-number digit at 16^0.
  • Add every place value carefully.

Common mistakes

  • Treating F as a decimal digit instead of 15.
  • Starting the rightmost power at 16^1.
  • Ignoring letter case when copying long values.

Quick answers

What is 2F in decimal?

2F equals 47 because it is 2x16 + 15.

Are lowercase hex letters valid?

Yes. a through f mean the same values as A through F.