How to Convert Decimal to Hexadecimal?

To convert decimal to hexadecimal, repeatedly divide the decimal number by 16 and record the remainders. The hexadecimal result is the remainders read in reverse order, where remainders 10-15 are represented as A-F. For example: 255₁₀ ÷ 16 = 15 remainder 15 (F), 15 ÷ 16 = 0 remainder 15 (F) → FF₁₆

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.

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.

Decimal to Hexadecimal Conversion Table

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