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By Shailendra Singh
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Updated on 5 Mar 2025, 15:39 IST
Hexadecimal and decimal are two different numbering systems used to represent and work with numbers.
Decimal, also known as the base-10 numbering system, is the most common system used in everyday life. It uses ten symbols (0-9) to represent numbers. Each digit’s position in a decimal number carries a weight based on powers of 10.
Hexadecimal, often abbreviated as “hex,” is a base-16 numbering system. It uses sixteen symbols: the digits 0-9 and the letters A-F (or a-f) to represent numbers. This system is commonly used in computing, especially for representing memory addresses, colors in web design, and other situations where large binary numbers need to be represented in a more compact and human-readable format. Each digit’s position in a hexadecimal number carries a weight based on powers of 16.
Also Check: Hex to binary converter
To convert a hexadecimal (hex) number to a decimal number, you can follow these steps:
| 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 |
To convert hexadecimal (base 16) to decimal (base 10), you can use the following method: Write down the hexadecimal number. Assign decimal values to each hexadecimal digit (0-9 represent the same values in both systems, while A=10, B=11, C=12, D=13, E=14, and F=15 in decimal). Multiply each digit by the corresponding power of 16 and sum the results.
To convert hexadecimal to decimal and then to binary, follow these steps: Convert the hexadecimal number to decimal. Convert the decimal number to binary using the standard method (repeated division by 2 and noting remainders).
The decimal form of hexadecimal refers to the representation of a hexadecimal number as a decimal number. This involves converting the base-16 number to base 10.
The decimal equivalent of 16 in hexadecimal is 22. In decimal, the digit 1 represents one 16 (16^1) and the digit 6 represents six ones (6 * 16^0), which adds up to a total of 22.
The hexadecimal representation of the decimal number 10 is A. In hexadecimal, A corresponds to the decimal value 10.
Base 16 is called hexadecimal. It's a numeral system that uses 16 distinct symbols to represent values: 0-9 for the first ten values and A-F for the next six values (representing 10 to 15 in decimal). Hexadecimal is commonly used in computing to represent binary-coded values in a more compact and human-readable form.