# HEX to Decimal Converter

## What is HEX to Decimal Converter?

A Hex to Decimal converter is a tool used for converting a number expressed in hexadecimal (base 16) format to its equivalent in decimal (base 10) format. Hexadecimal is a positional numeral system that uses 16 distinct symbols, typically the numbers 0 to 9 to represent values zero to nine, and the letters A to F (or a to f) to represent values ten to fifteen.

Hexadecimal numbers are widely used in computing and digital systems for a more human-friendly representation of binary-coded values. One hexadecimal digit represents four binary digits (bits), making it simpler to read and understand large binary numbers.

The conversion from hex to decimal involves multiplying each digit in the hex number by 16 raising the power of its position (starting from 0 from the right) and then summing all these products together. For example, the hexadecimal number "1A3" translates to decimal as follows:

1 * 16^2 + A (which is 10) * 16^1 + 3 * 16^0 = 256 + 160 + 3 = 419

So, the hexadecimal number "1A3" equals the decimal number 419.