Hex to Decimal Converter

Enter Hexadecimal:

Decimal: 0

Converting numbers from one base to another is a common task in computing. Among these conversions, the Hex to Decimal conversion is especially important. It allows us to transform hexadecimal (base-16) numbers into decimal (base-10) numbers, which are more commonly used in everyday life. Whether you're a programmer, a student, or someone exploring number systems, understanding how to convert between these bases is crucial.

What is Hexadecimal?

The hexadecimal system is a base-16 number system, meaning it uses 16 unique digits to represent values: 0-9 for values zero to nine and A-F for values ten to fifteen. It's commonly used in computing and digital electronics because it's more compact than binary and easier for humans to read and interpret. Hex numbers are often used to represent memory addresses, colors, and machine code.

What is Decimal?

The decimal system is the standard number system used in everyday life, based on ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. It’s a base-10 system, and we use it to count, measure, and calculate in all sorts of situations.

Converting Hex to Decimal

To convert a hex number to decimal, you break down each digit's position and its corresponding power of 16. For example, to convert hex 1A3 to decimal:

Start from the rightmost digit: 3 is in the 16^0 position, so 3 * (16^0) = 3.
The next digit, A, is in the 16^1 position. A in hex represents 10 in decimal, so 10 * (16^1) = 160.
The next digit, 1, is in the 16^2 position. 1 * (16^2) = 256.

Now, add up the results: 3 + 160 + 256 = 419.

So, hex 1A3 equals decimal 419.