Convert hexadecimal values to decimal with a step-by-step positional breakdown showing each digit weight and running total.
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Number Systems
The hex to decimal converter translates hexadecimal (base-16) values into their decimal (base-10) equivalents. Enter a hex string and see the decimal result with a positional breakdown.
Multiply each hex digit by 16 raised to its position index (starting from 0 on the right) and sum all the products. Digits A through F carry values 10 through 15.
For example, hex 1A3 equals 1 times 256 plus 10 times 16 plus 3 times 1, which gives decimal 419.
decimal = sum of (digit_i * 16^i)
Each hex digit is multiplied by 16 raised to its position, starting from 0 on the right.
Hex-to-decimal conversion helps when interpreting colour codes, reading debug output, checking file sizes in hex editors, or comparing hash values against known decimal thresholds.
Frequently asked questions
In hexadecimal context, only A through F (or a through f) are valid digit characters, representing values 10 through 15.
F, which equals 15 in decimal. Two hex digits can represent values up to 255 (FF).
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