Hexadecimal to Binary Converter

How to Convert Hexadecimal to Binary?

To convert hexadecimal to binary, replace each hexadecimal digit with its 4-bit binary equivalent (0000 to 1111) and concatenate the groups. For example: 1F4₁₆ → 1=0001, F=1111, 4=0100 → 000111110100₂.

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 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.

Hexadecimal to Binary Conversion Table

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