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Hex to Decimal converter

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How to convert Hex to Decimal

Hexadecimal is a positional system that represents numbers using a base of 16. Unlike the common way of representing numbers with ten symbols, it uses sixteen distinct symbols, most often the symbols "0"-"9" to represent values zero to nine, and "A"-"F" to represent values ten to fifteen. Hexadecimal numerals are widely used by computer system designers and programmers, as they provide a human-friendly representation of binary-coded values.

The decimal numeral system is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu-Arabic numeral system. For writing numbers, the decimal system uses ten decimal digits, a decimal mark, and, for negative numbers, a minus sign "-". The decimal digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9; the decimal separator is the dot "." in many countries.

Follow these steps to convert a hexadecimal number into decimal form:
  1. Write the powers of 16 (1, 16, 256, 4096, 65536, and so on) beside the hex digits from bottom to top.
  2. Convert any letters (A to F) to their corresponding numerical form.
  3. Multiply each digit by it's power.
  4. Add up the answers. This is the solution.
For example if the given hexadecimal number is 6FC7:
DigitPowerMultiplication
6409624576
F (15)2563840
C (12)16192
717
Then the decimal solution (24576 + 3840 + 192 + 7) is: 28615
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