Hexadecimal and decimal are two different numbering systems used to represent and work with numbers.

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## Decimal

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.

### How to convert from hex to decimal

To convert a hexadecimal (hex) number to a decimal number, you can follow these steps:

• Write down the hexadecimal number.
• Assign a decimal value to each hexadecimal digit.
• Multiply the decimal value of each digit by the appropriate power of 16.
• Add up the results from step 3 to get the decimal equivalent.

### 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

## FAQs on Hexadecimal to Decimal

### How do I convert hexadecimal to decimal?

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.

### How to convert hex to decimal binary?

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).

### What is the decimal form of hexadecimal?

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.

### What is the decimal equivalent of 16 in hexadecimal?

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.

### What is the hexadecimal of 10?

The hexadecimal representation of the decimal number 10 is A. In hexadecimal, A corresponds to the decimal value 10.

### What is base 16 called?

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.

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