Decimal to Hex conversion

Decimal to hex number conversion calculator and how to convert.

• Decimal to hex converter
• How to convert from decimal to hex
• Decimal to hex conversion table

Decimal to hex converter

Enter a decimal number and press the Convert button:

	Enter decimal number:
			10
	Hex result:
			16

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:

   d_n = 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 - d_n × 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
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 ►

 

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See also

• Hex to decimal converter
• Decimal to binary converter
• Decimal to octal converter
• Decimal to fraction converter
• Decimal to percent converter
• How to convert decimal to hex
• RGB to Hex color converter
• Number conversion

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