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| Boilerpipe Text | Hexadecimal to Decimal converter
From
To
Enter hex number
16
Decimal result
Decimal number
10
Decimal from signed 2's complement
10
Binary number
2
Digit grouping
Hex to decimal calculation steps
Decimal to hex converter ►
Hex calculator ►
Hexadecimal
Hexadecimal number is a number expressed in the base 16 numeral system. Hexadecimal number's digits have 16 symbols: 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F. Each digit of a hexadecimal number counts a power of 16.
Hexadecimal number example:
62C
16
= 6×16
2
+2×16
1
+12×16
0
= 1580
10
Decimal number is a number expressed in the base 10 numeral system. Decimal number's digits have 10 symbols: 0,1,2,3,4,5,6,7,8,9. Each digit of a decimal number counts a power of 10.
Decimal number example:
653
10
= 6×10
2
+5×10
1
+3×10
0
How to convert from hex to decimal
A regular decimal number is the sum of the digits multiplied with power of 10.
137 in base 10 is equal to each digit multiplied with its corresponding power of 10:
137
10
= 1×10
2
+3×10
1
+7×10
0
= 100+30+7
Hex numbers are read the same way, but each digit counts power of 16 instead of power of 10.
For hex number with n digits:
d
n-1
... d
3
d
2
d
1
d
0
Multiply each digit of the hex number with its corresponding power of 16 and sum:
decimal =
d
n-1
×16
n-1
+ ... + d
3
×16
3
+ d
2
×16
2
+ d
1
×16
1
+d
0
×16
0
Example #1
3B in base 16 is equal to each digit multiplied with its corresponding 16
n
:
3B
16
= 3×16
1
+11×16
0
= 48+11 = 59
10
Example #2
E7A9 in base 16 is equal to each digit multiplied with its corresponding 16
n
:
E7A9
16
= 14×16
3
+7×16
2
+10×16
1
+9×16
0
= 57344+1792+160+9 = 59305
10
Example #3
0.8 in base 16:
0.8
16
= 0×16
0
+8×16
-1
= 0+0.5 = 0.5
10
Hex to decimal conversion table
Hex
base 16
Decimal
base 10
Calculation
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
1×16
1
+0×16
0
= 16
11
17
1×16
1
+1×16
0
= 17
12
18
1×16
1
+2×16
0
= 18
13
19
1×16
1
+3×16
0
= 19
14
20
1×16
1
+4×16
0
= 20
15
21
1×16
1
+5×16
0
= 21
16
22
1×16
1
+6×16
0
= 22
17
23
1×16
1
+7×16
0
= 23
18
24
1×16
1
+8×16
0
= 24
19
25
1×16
1
+9×16
0
= 25
1A
26
1×16
1
+10×16
0
= 26
1B
27
1×16
1
+11×16
0
= 27
1C
28
1×16
1
+12×16
0
= 28
1D
29
1×16
1
+13×16
0
= 29
1E
30
1×16
1
+14×16
0
= 30
1F
31
1×16
1
+15×16
0
= 31
20
32
2×16
1
+0×16
0
= 32
30
48
3×16
1
+0×16
0
= 48
40
64
4×16
1
+0×16
0
= 64
50
80
5×16
1
+0×16
0
= 80
60
96
6×16
1
+0×16
0
= 96
70
112
7×16
1
+0×16
0
= 112
80
128
8×16
1
+0×16
0
= 128
90
144
9×16
1
+0×16
0
= 144
A0
160
10×16
1
+0×16
0
= 160
B0
176
11×16
1
+0×16
0
= 176
C0
192
12×16
1
+0×16
0
= 192
D0
208
13×16
1
+0×16
0
= 208
E0
224
14×16
1
+0×16
0
= 224
F0
240
15×16
1
+0×16
0
= 240
100
256
1×16
2
+0×16
1
+0×16
0
= 256
200
512
2×16
2
+0×16
1
+0×16
0
= 512
300
768
3×16
2
+0×16
1
+0×16
0
= 768
400
1024
4×16
2
+0×16
1
+0×16
0
= 1024
Decimal to hex converter ►
See also
Decimal to hex converter
Hex calculator
Hex to binary converter
Binary to decimal converter
Octal to decimal converter
How to convert hex to decimal
Hex to ASCII text converter
Hex to RGB color converter
Numeral systems
Number conversion
10 hex to decimal
1A hex to decimal
1F hex to decimal
7F hex to decimal
FF hex to decimal
FFFF hex to decimal |
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# Hexadecimal to Decimal converter
[Decimal to hex converter ►](https://www.rapidtables.com/convert/number/decimal-to-hex.html)
[Hex calculator ►](https://www.rapidtables.com/calc/math/hex-calculator.html)
## Hexadecimal
Hexadecimal number is a number expressed in the base 16 numeral system. Hexadecimal number's digits have 16 symbols: 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F. Each digit of a hexadecimal number counts a power of 16.
Hexadecimal number example:
62C16 = 6×162\+2×161\+12×160 = 158010
## Decimal
Decimal number is a number expressed in the base 10 numeral system. Decimal number's digits have 10 symbols: 0,1,2,3,4,5,6,7,8,9. Each digit of a decimal number counts a power of 10.
Decimal number example:
65310 = 6×102\+5×101\+3×100
## How to convert from hex to decimal
A regular decimal number is the sum of the digits multiplied with power of 10.
137 in base 10 is equal to each digit multiplied with its corresponding power of 10:
13710 = 1×102\+3×101\+7×100 = 100+30+7
Hex numbers are read the same way, but each digit counts power of 16 instead of power of 10.
For hex number with n digits:
*dn-1 ... d3 d2 d1 d0*
Multiply each digit of the hex number with its corresponding power of 16 and sum:
decimal = *dn-1×16n-1 + ... + d3×163 + d2×162 + d1×161\+d0×160*
#### Example \#1
3B in base 16 is equal to each digit multiplied with its corresponding 16n:
3B16 = 3×161\+11×160 = 48+11 = 5910
#### Example \#2
E7A9 in base 16 is equal to each digit multiplied with its corresponding 16n:
E7A916 = 14×163\+7×162\+10×161\+9×160 = 57344+1792+160+9 = 5930510
#### Example \#3
0\.8 in base 16:
0\.816 = 0×160\+8×16\-1 = 0+0.5 = 0.510
## Hex to decimal conversion table
| Hex base 16 | Decimal base 10 | Calculation |
|---|---|---|
| 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 | 1×161\+0×160 = 16 |
| 11 | 17 | 1×161\+1×160 = 17 |
| 12 | 18 | 1×161\+2×160 = 18 |
| 13 | 19 | 1×161\+3×160 = 19 |
| 14 | 20 | 1×161\+4×160 = 20 |
| 15 | 21 | 1×161\+5×160 = 21 |
| 16 | 22 | 1×161\+6×160 = 22 |
| 17 | 23 | 1×161\+7×160 = 23 |
| 18 | 24 | 1×161\+8×160 = 24 |
| 19 | 25 | 1×161\+9×160 = 25 |
| 1A | 26 | 1×161\+10×160 = 26 |
| 1B | 27 | 1×161\+11×160 = 27 |
| 1C | 28 | 1×161\+12×160 = 28 |
| 1D | 29 | 1×161\+13×160 = 29 |
| 1E | 30 | 1×161\+14×160 = 30 |
| 1F | 31 | 1×161\+15×160 = 31 |
| 20 | 32 | 2×161\+0×160 = 32 |
| 30 | 48 | 3×161\+0×160 = 48 |
| 40 | 64 | 4×161\+0×160 = 64 |
| 50 | 80 | 5×161\+0×160 = 80 |
| 60 | 96 | 6×161\+0×160 = 96 |
| 70 | 112 | 7×161\+0×160 = 112 |
| 80 | 128 | 8×161\+0×160 = 128 |
| 90 | 144 | 9×161\+0×160 = 144 |
| A0 | 160 | 10×161\+0×160 = 160 |
| B0 | 176 | 11×161\+0×160 = 176 |
| C0 | 192 | 12×161\+0×160 = 192 |
| D0 | 208 | 13×161\+0×160 = 208 |
| E0 | 224 | 14×161\+0×160 = 224 |
| F0 | 240 | 15×161\+0×160 = 240 |
| 100 | 256 | 1×162\+0×161\+0×160 = 256 |
| 200 | 512 | 2×162\+0×161\+0×160 = 512 |
| 300 | 768 | 3×162\+0×161\+0×160 = 768 |
| 400 | 1024 | 4×162\+0×161\+0×160 = 1024 |
[Decimal to hex converter ►](https://www.rapidtables.com/convert/number/decimal-to-hex.html)
***
## See also
- [Decimal to hex converter](https://www.rapidtables.com/convert/number/decimal-to-hex.html)
- [Hex calculator](https://www.rapidtables.com/calc/math/hex-calculator.html)
- [Hex to binary converter](https://www.rapidtables.com/convert/number/hex-to-binary.html)
- [Binary to decimal converter](https://www.rapidtables.com/convert/number/binary-to-decimal.html)
- [Octal to decimal converter](https://www.rapidtables.com/convert/number/octal-to-decimal.html)
- [How to convert hex to decimal](https://www.rapidtables.com/convert/number/how-hex-to-decimal.html)
- [Hex to ASCII text converter](https://www.rapidtables.com/convert/number/hex-to-ascii.html)
- [Hex to RGB color converter](https://www.rapidtables.com/convert/color/hex-to-rgb.html)
- [Numeral systems](https://www.rapidtables.com/math/number/Numeral_system.html)
- [Number conversion](https://www.rapidtables.com/convert/number/index.html)
- [10 hex to decimal](https://www.rapidtables.com/convert/number/hex-to-decimal.html?x=10)
- [1A hex to decimal](https://www.rapidtables.com/convert/number/hex-to-decimal.html?x=1A)
- [1F hex to decimal](https://www.rapidtables.com/convert/number/hex-to-decimal.html?x=1F)
- [7F hex to decimal](https://www.rapidtables.com/convert/number/hex-to-decimal.html?x=7F)
- [FF hex to decimal](https://www.rapidtables.com/convert/number/hex-to-decimal.html?x=FF)
- [FFFF hex to decimal](https://www.rapidtables.com/convert/number/hex-to-decimal.html?x=FFFF)
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| Readable Markdown | ## Hexadecimal to Decimal converter
[Decimal to hex converter ►](https://www.rapidtables.com/convert/number/decimal-to-hex.html)
[Hex calculator ►](https://www.rapidtables.com/calc/math/hex-calculator.html)
## Hexadecimal
Hexadecimal number is a number expressed in the base 16 numeral system. Hexadecimal number's digits have 16 symbols: 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F. Each digit of a hexadecimal number counts a power of 16.
Hexadecimal number example:
62C16 = 6×162\+2×161\+12×160 = 158010
Decimal number is a number expressed in the base 10 numeral system. Decimal number's digits have 10 symbols: 0,1,2,3,4,5,6,7,8,9. Each digit of a decimal number counts a power of 10.
Decimal number example:
65310 = 6×102\+5×101\+3×100
## How to convert from hex to decimal
A regular decimal number is the sum of the digits multiplied with power of 10.
137 in base 10 is equal to each digit multiplied with its corresponding power of 10:
13710 = 1×102\+3×101\+7×100 = 100+30+7
Hex numbers are read the same way, but each digit counts power of 16 instead of power of 10.
For hex number with n digits:
*dn-1 ... d3 d2 d1 d0*
Multiply each digit of the hex number with its corresponding power of 16 and sum:
decimal = *dn-1×16n-1 + ... + d3×163 + d2×162 + d1×161\+d0×160*
#### Example \#1
3B in base 16 is equal to each digit multiplied with its corresponding 16n:
3B16 = 3×161\+11×160 = 48+11 = 5910
#### Example \#2
E7A9 in base 16 is equal to each digit multiplied with its corresponding 16n:
E7A916 = 14×163\+7×162\+10×161\+9×160 = 57344+1792+160+9 = 5930510
#### Example \#3
0\.8 in base 16:
0\.816 = 0×160\+8×16\-1 = 0+0.5 = 0.510
## Hex to decimal conversion table
| Hex base 16 | Decimal base 10 | Calculation |
|---|---|---|
| 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 | 1×161\+0×160 = 16 |
| 11 | 17 | 1×161\+1×160 = 17 |
| 12 | 18 | 1×161\+2×160 = 18 |
| 13 | 19 | 1×161\+3×160 = 19 |
| 14 | 20 | 1×161\+4×160 = 20 |
| 15 | 21 | 1×161\+5×160 = 21 |
| 16 | 22 | 1×161\+6×160 = 22 |
| 17 | 23 | 1×161\+7×160 = 23 |
| 18 | 24 | 1×161\+8×160 = 24 |
| 19 | 25 | 1×161\+9×160 = 25 |
| 1A | 26 | 1×161\+10×160 = 26 |
| 1B | 27 | 1×161\+11×160 = 27 |
| 1C | 28 | 1×161\+12×160 = 28 |
| 1D | 29 | 1×161\+13×160 = 29 |
| 1E | 30 | 1×161\+14×160 = 30 |
| 1F | 31 | 1×161\+15×160 = 31 |
| 20 | 32 | 2×161\+0×160 = 32 |
| 30 | 48 | 3×161\+0×160 = 48 |
| 40 | 64 | 4×161\+0×160 = 64 |
| 50 | 80 | 5×161\+0×160 = 80 |
| 60 | 96 | 6×161\+0×160 = 96 |
| 70 | 112 | 7×161\+0×160 = 112 |
| 80 | 128 | 8×161\+0×160 = 128 |
| 90 | 144 | 9×161\+0×160 = 144 |
| A0 | 160 | 10×161\+0×160 = 160 |
| B0 | 176 | 11×161\+0×160 = 176 |
| C0 | 192 | 12×161\+0×160 = 192 |
| D0 | 208 | 13×161\+0×160 = 208 |
| E0 | 224 | 14×161\+0×160 = 224 |
| F0 | 240 | 15×161\+0×160 = 240 |
| 100 | 256 | 1×162\+0×161\+0×160 = 256 |
| 200 | 512 | 2×162\+0×161\+0×160 = 512 |
| 300 | 768 | 3×162\+0×161\+0×160 = 768 |
| 400 | 1024 | 4×162\+0×161\+0×160 = 1024 |
[Decimal to hex converter ►](https://www.rapidtables.com/convert/number/decimal-to-hex.html)
***
## See also
- [Decimal to hex converter](https://www.rapidtables.com/convert/number/decimal-to-hex.html)
- [Hex calculator](https://www.rapidtables.com/calc/math/hex-calculator.html)
- [Hex to binary converter](https://www.rapidtables.com/convert/number/hex-to-binary.html)
- [Binary to decimal converter](https://www.rapidtables.com/convert/number/binary-to-decimal.html)
- [Octal to decimal converter](https://www.rapidtables.com/convert/number/octal-to-decimal.html)
- [How to convert hex to decimal](https://www.rapidtables.com/convert/number/how-hex-to-decimal.html)
- [Hex to ASCII text converter](https://www.rapidtables.com/convert/number/hex-to-ascii.html)
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- [Number conversion](https://www.rapidtables.com/convert/number/index.html)
- [10 hex to decimal](https://www.rapidtables.com/convert/number/hex-to-decimal.html?x=10)
- [1A hex to decimal](https://www.rapidtables.com/convert/number/hex-to-decimal.html?x=1A)
- [1F hex to decimal](https://www.rapidtables.com/convert/number/hex-to-decimal.html?x=1F)
- [7F hex to decimal](https://www.rapidtables.com/convert/number/hex-to-decimal.html?x=7F)
- [FF hex to decimal](https://www.rapidtables.com/convert/number/hex-to-decimal.html?x=FF)
- [FFFF hex to decimal](https://www.rapidtables.com/convert/number/hex-to-decimal.html?x=FFFF) |
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