Hexadecimal to Decimal Converter

How to Convert Hexadecimal to Decimal?

To convert hexadecimal to decimal, multiply each digit by 16 raised to the power of its position (counting from right to left, starting at 0), then sum all the results. For example: FF₁₆ = (15 × 16¹) + (15 × 16⁰) = 240 + 15 = 255₁₀

What is Hexadecimal?

Definition

Hexadecimal (base-16) is a positional numeral system that uses 16 distinct symbols: 0-9 to represent values zero to nine, and A-F (or a-f) to represent values ten to fifteen.

Common Uses

• Representing colors in web design (e.g., #FF5733)
• Memory addresses in computer systems
• MAC addresses in networking
• Unicode character codes
• Low-level programming and debugging
• Cryptography and hash values

Notation

Hexadecimal numbers are often prefixed with '0x' (e.g., 0xFF) or suffixed with 'h' (e.g., FFh) to distinguish them from decimal numbers.

What is Decimal?

Definition

Decimal (base-10) is the standard numeral system used in everyday life. It uses ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

Common Uses

• Everyday counting and arithmetic
• Financial calculations and currency
• Measuring quantities and dimensions
• Scientific calculations
• Data representation in most applications

History

The decimal system is believed to have originated from counting on fingers (humans typically have 10 fingers), making it the most intuitive and widely adopted numeral system.

Hexadecimal to Decimal Conversion Table

This table shows common hexadecimal to decimal conversions for quick reference.