Number converters

Hexadecimal to Decimal Converter

Convert hexadecimal numbers to decimal online using powers of 16, with A to F examples, conversion checks, FAQs, and common mistakes.

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From

Enter a Hexadecimal Number

₁₆

Result

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 d_n, n is the position of that digit:

d_n-1 .... d₄ d₃ d₃ d₂ d₁ d₀ . d_-1 d_-2 d_-3

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

decimal = d_n-1 x 16^n-1 + .... + d₁ x 16¹ + d₀ x 16⁰ + d_-1 x 16^-1 + .... + d_-n x 16^-n

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

Check long hexadecimal values by place

Each position is sixteen times the position to its right. Replace A through F with 10 through 15, multiply by the matching power of 16, and add the terms. For a long identifier, work in groups and preserve internal zeros because a zero digit contributes no value but still determines the powers used by every digit to its left.

Large hexadecimal integers can exceed the exact whole-number range of ordinary spreadsheet cells or JavaScript floating-point calculations. If the value represents a memory address, checksum, identifier, or bit mask, compare it with a tool that supports arbitrary-size integers and avoid scientific notation. A leading minus sign represents an ordinary negative value here, not an unsigned two’s-complement word.

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.