Hexadecimal to Decimal converter
Simplify the process of converting hexadecimal values to decimal format with our efficient Hexadecimal to Decimal Converter. This tool allows you to effortlessly convert any hexadecimal value to its equivalent decimal representation. Simply input the hexadecimal value, and our converter will instantly generate the decimal number.
What is Hexadecimal to Decimal converter
To convert a hexadecimal number to decimal, you can follow these steps:
-
Assign decimal values to each hexadecimal digit (0-9, A-F).
- 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
-
Multiply each hexadecimal digit by the corresponding power of 16 based on its position (starting from the rightmost digit).
-
Sum up the results from step 2 to obtain the decimal equivalent.
Here's an example:
Let's say you want to convert the hexadecimal number "1F" to decimal.
-
Assign decimal values to each hexadecimal digit: 1: 1 F: 15
-
Multiply each hexadecimal digit by the corresponding power of 16: 1 * 16^1 = 16 F * 16^0 = 15 * 1 = 15
-
Sum up the results: 16 + 15 = 31
So, the hexadecimal number "1F" is equivalent to the decimal number 31.
You can use online converters or programming libraries to perform hexadecimal to decimal conversions easily.
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 |
