Hexadecimal to Decimal

Convert Hexadecimal (Base-16) Numbers to Decimal (Base-10) Instantly

The Hex to Decimal Calculator is a fast and accurate online tool designed to convert hexadecimal numbers (base-16) into decimal numbers (base-10). Whether you’re a developer working with low-level programming, a student learning number systems, or an engineer handling digital data, this calculator provides real-time results with step-by-step breakdowns.

the hexadecimal to decimal converter image is shown below:

hexadecimal to decimal converter

What Is a Hexadecimal Number?

A hexadecimal number is a numeral system that uses a base of 16. It includes digits from 0 to 9 and letters from A to F, where:

  • A = 10
  • B = 11
  • C = 12
  • D = 13
  • E = 14
  • F = 15

For example, the hex number 2F is equivalent to 47 in decimal.

Example of hex to decimal conversion images is shown below:

hex to decimal

How Hex to Decimal Conversion Works?

Hexadecimal numbers are positional. Each digit represents a power of 16 based on its position:

Decimal = (Dn × 16ⁿ) + (Dn-1 × 16ⁿ⁻¹) + ... + (D0 × 16⁰)

Example:
Hex 1A3
= (1 × 16²) + (10 × 16¹) + (3 × 16⁰)
= 256 + 160 + 3
= 419 in decimal

hex to decimal conversion infographic

Why Use This Tool?

  • ✅ Instant results with large or small hex numbers
  • ✅ Ideal for computer science, embedded systems, and data encoding
  • ✅ Helps in debugging memory addresses, color codes, and machine-level values

Hex to Decimal Conversion Table

HexDecimal
11
A10
1016
FF255
100256

Use Cases of Hexadecimal Numbers

  • Memory Addressing: In systems architecture, hexadecimal is used to represent memory addresses for compactness.
  • Web Design: Hex codes like #FF5733 represent RGB color values. (Hex to RGB)
  • Assembly Programming: CPU instructions are often represented in hex format.

Related Hex Conversion Tools


Frequently Asked Questions

Q1: What happens if I enter an invalid hex value?

A1: The tool will notify you of any invalid characters. Hex values must only include 0–9 and A–F.

Q2: Can I convert large hexadecimal numbers?

A2: Yes. This calculator supports large integers and will return accurate decimal equivalents even for long strings like 7F5A2C1D.

Q3: Is this the same as converting hexadecimal to signed integers?