Hexadecimal to Decimal Converter

What is Hexadecimal?

Hexadecimal is a base-16 numeral system, using digits from 0 to 9 and letters A to F. It is widely used in computing to represent large numbers more compactly compared to binary.

What is Decimal?

Decimal is the standard base-10 numeral system that is used in everyday life. It uses digits from 0 to 9 to represent numbers.

How to Convert Hexadecimal to Decimal?

To convert a hexadecimal number to decimal, each digit of the hexadecimal number is multiplied by 16 raised to the power of its position (starting from 0 on the right).

The process looks like this:

1. Take each digit in the hexadecimal number. 2. Multiply each digit by 16 raised to the power of its position. 3. Add all these values together to get the decimal equivalent.

Example

Convert 1A (hexadecimal) to decimal:

First, expand 1A using its positional values: 1A = 1 * 16^1 + A * 16^0.

In hexadecimal, A = 10, so: 1A = 1 * 16 + 10 * 1 = 16 + 10 = 26 (decimal).