Tuesday, 15 September 2015

DECIMAL TO HEX CONVERTER

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:

How to convert from decimal to hex

For decimal number x:

Get the highest power of 16 that is less than the decimal number x:
16ⁿ < x, (n=1,2,3,...)
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)
Calculate the difference Δ of the number x and the hex digit dⁿ times the power of 16, 16ⁿ:
Δ = x - d_n × 16ⁿ
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

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