Hex to Decimal Converter

Type a hexadecimal number to get its decimal value, with every digit’s place value written out.

Hex number

Decimal

2,019

Base 2111 1110 0011

Base 83743

Base 102,019

Base 167E3

Working

7 × 16² = 7 × 256 = 1,792
E × 16¹ = 14 × 16 = 224
3 × 16⁰ = 3 × 1 = 3
Total = 2,019

The method

Multiply each hex digit by 16 raised to its position (counting from 0 on the right), then add the results. A–F stand for 10–15.

Place value: the idea behind every base

In any base, a digit’s worth depends on its column. Each column is worth the base times the column to its right. Tap a digit to change it and watch the total.

16⁵1,048,5761,048,576

16⁴65,5360

16³4,0964,096

16²256256

16¹160

16⁰11

1×1,048,576 + 1×4,096 + 1×256 + 1×1 = 1,052,929 in decimal

Decimal is the same system with ten digits: 347 is 3×100 + 4×10 + 7×1. Nothing about base 10 is special apart from our ten fingers.

Hex to decimal table

Hex	Decimal
1	1
9	9
A	10
F	15
10	16
1F	31
20	32
40	64
64	100
7F	127
80	128
FF	255
100	256
3E8	1000
FFF	4095
FFFF	65535

Need another base, such as base 3 or base 36? Use the number system converter.

Questions people ask

How do I convert hex to decimal by hand?

Write the powers of 16 under the digits from the right: 1, 16, 256, 4096 and so on. Replace A–F with 10–15, multiply each digit by its power, and add. 2F = 2×16 + 15×1 = 47.

What is FF in decimal?

FF is 255: 15×16 + 15 = 255. It is the largest value that fits in one byte, which is why colour channels in #RRGGBB run from 00 to FF.

What does the 0x prefix mean?

0x marks a number as hexadecimal in C, JavaScript, Python and most other languages, so 0x10 is 16, not ten. The converter ignores it.