Hex to Decimal Converter
Convert hexadecimal notation into a decimal number.
Interactive visual
Translate base-16 positions into decimal
1A3 → 419
Live input
1A3
Live output
Updates as you type
Convert hex into a decimal number
Example: 1A3 → 419
Decimal result
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Validate format
Return decimal result
How Hex-to-Decimal Conversion Works
The Conversion Method
Hexadecimal-to-decimal conversion translates a base-16 number into the familiar base-10 system. Each hex digit is multiplied by its positional power of 16, and the results are summed. The rightmost digit is multiplied by 1, the next by 16, then by 256, and so on.
Step-by-Step Example
To convert hex 1A3 to decimal: the digit 3 is in position 0 (3 times 1 = 3), A (which equals 10) is in position 1 (10 times 16 = 160), and 1 is in position 2 (1 times 256 = 256). Adding these together: 256 + 160 + 3 = 419. Therefore, hex 1A3 equals decimal 419.
Hex-to-Decimal in Web Development
Web developers frequently need to convert hex color values to decimal. The CSS color #3498DB breaks down as: 34 hex equals 52 decimal (red), 98 hex equals 152 decimal (green), DB hex equals 219 decimal (blue). This gives the RGB value rgb(52, 152, 219), which is a pleasant blue. Understanding hex-to-decimal conversion helps developers work fluently between hex and RGB color notations.
Quick Mental Conversion Tips
Memorize key hex-decimal pairs to speed up mental conversions: A = 10, F = 15, 10 hex = 16, FF = 255, 100 hex = 256, FFF = 4095, and FFFF = 65535. For two-digit hex values, multiply the first digit by 16 and add the second digit. For instance, 7B = (7 times 16) + 11 = 112 + 11 = 123. With practice, these conversions become second nature.