Decimal to Hex converter

 

Decimal to Hex Converter

To use this decimal to hex converter tool, you have to type a decimal value like 79 into the left field below, and then hit the Convert button. Therefore, you can convert up to 19 decimal characters (max. value of 9223372036854775807) to hex.

10
Hex number:
16
Hex signed 8-bit:
16
Hex signed 16-bit:
16
Hex signed 32-bit:
16
Binary number:
2

 

Hex to decimal converter ►

 

How to convert from decimal to hex

For decimal number x:

  1. Get the highest power of 16 that is less than the decimal number x:

    16n < x, (n=1,2,3,...)

  2. The high hex digit is equal to the integer if the decimal number x divided by the highest power of 16 that is smaller than x:

    dn = int(x / 16n)

  3. Calculate the difference Δ of the number x and the hex digit dn times the power of 16, 16n:

    Δ = x - dn × 16n

  4. Repeat step #1 with the difference result until the result is 0.

Example

Convert x=603 to hex:

n=2, 162=256 < 603

n=3, 163=4096 > 603

So

n = 2

d2 = int(603 / 162) = 2

Δ = 603 - 2×162 = 91

n = 1, x = Δ = 91

d1 = int(91 / 161) = 5

Δ = 91 - 5×161 = 11

n = 0, x = Δ = 11

d0 = int(11 / 160) = 1110 = B16

Δ = 11 - 11×160 = 0

(d2d1d0)  = 25B

So

x = 60310 = 25B16

 

Decimal to hex conversion table

Decimal

base 10

Hex

base 16

0 0
1 1
2 2
3 3
4 4
5 5
6 6
7 7
8 8
9 9
10 A
11 B
12 C
13 D
14 E
15 F
16 10
17 11
18 12
19 13
20 14
21 15
22 16
23 17
24 18
25 19
26 1A
27 1B
28 1C
29 1D
30 1E
40 28
50 32
60 3C
70 46
80 50
90 5A
100 64
200 C8
1000 3E8
2000 7D0

 

Hex to decimal converter ►

 

See also

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