Hexadecimal to Decimal

Related Conversion Tool: Decimal to Hex Converter

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.

hex to decimal

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.

Related Tool: Hex to Binary Converter – visualize hexadecimal values at the bit level.

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

See Also: Decimal to Hex Calculator – reverse the process in a single click.

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

This feature-rich tool is part of our full hex conversion calculator suite — ideal when manual computation or scripting is inconvenient.

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.
  • Assembly Programming: CPU instructions are often represented in hex format.

Frequently Asked Questions

What happens if I enter an invalid hex value?

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

Can I convert large hexadecimal numbers?

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

Is this the same as converting hexadecimal to signed integers?

Not exactly. If you’re working with signed data types (e.g., 2’s complement), try our Hex to Signed Integer Calculator instead.