How to Convert Binary to Hexadecimal?

To convert binary to hexadecimal, group the binary digits into sets of 4 (from right to left), padding with zeros if needed. Then convert each group to its hexadecimal equivalent (0-9, A-F). For example: 11111111₂ → (1111)(1111) → F F → FF₁₆, or 10101010₂ → (1010)(1010) → A A → AA₁₆

What is Binary?

Definition

Binary (base-2) is a numeral system that uses only two digits: 0 and 1. It is the fundamental language of computers and digital electronics.

Common Uses

• Computer data storage and processing
• Digital electronics and circuits
• Network communication protocols
• Machine code and assembly language
• Boolean logic and decision-making
• Error detection and correction codes

Structure

Each binary digit (bit) represents a power of 2. From right to left: 2⁰, 2¹, 2², 2³, etc. For example, 1010₂ = 1×2³ + 0×2² + 1×2¹ + 0×2⁰ = 8 + 0 + 2 + 0 = 10₁₀

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

Why Use Hex for Binary?

Hexadecimal is commonly used as a shorthand for binary because each hex digit represents exactly 4 binary digits (bits). This makes it much easier to read and write long binary numbers.

Binary to Hexadecimal Conversion Table

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