Hex to Decimal Converter

What Is Hexadecimal?

Hexadecimal is a base 16 number system used in computing and programming. It uses digits 0 to 9 and letters A to F. Each digit represents a value from 0 to 15. Hex makes long binary values shorter, clearer, and easier for students to read.

What Is the Decimal Number System?

The decimal number system is base 10. It uses digits 0 to 9, and each position has a power of 10. We use decimal for counting, money, measurements, scores, and everyday math. Most school problems use decimal because people use it naturally.

How to Convert Hex to Decimal Manually

Convert each hex digit into its value, multiply it by a power of 16, then add the results. Start with 16^0 at the right.

Formula

$Decimal = Σ(Hex digit × 16^position)$

Step by step Guide

1. Write the hex number.
2. Change A to F into 10 to 15.
3. Start with 16^0 on the right.
4. Increase the power by one place at a time.
5. Multiply each digit by its power of 16.
6. Add the results.

Practical Example

Convert $1A3$ to decimal.

$1A3 = 1 × 16^2 + 10 × 16^1 + 3 × 16^0$

$= 256 + 160 + 3$

$= 419$

So, $1A3_{16} = 419_{10}$.

Hex to Decimal conversion table

Note: Hex digits 0 to 9 keep their usual values. A to F represent 10 to 15. Each position uses a power of 16, starting with 16^0. Start from the right side.

Hex to Decimal Conversion in Programming

Programmers use hexadecimal to write binary data in a shorter form. These examples show how common programming languages convert a hex string into a decimal value.

Python

Python uses int() for this conversion. Set the base to 16 so Python reads the input as hexadecimal.

int("1A3", 16) returns 419.

JavaScript

JavaScript uses parseInt() for this conversion. Set the radix to 16 so JavaScript reads the value as hexadecimal.

parseInt("1A3", 16) returns 419.

C++

C++ uses std::stoi() to convert a string. Pass 16 as the base so C++ reads the input as hexadecimal.

std::stoi("1A3", nullptr, 16) returns 419.