Complete Guide to Binary Number Conversion

Understanding number systems is fundamental to programming and computer science. This guide will teach you everything about binary conversion.

What is Binary?

Binary is a base-2 number system that uses only two digits: 0 and 1. Every number in binary is represented as a combination of these digits.

Converting Binary to Decimal

To convert binary to decimal, multiply each digit by its corresponding power of 2:

Example: 1101₂

• 1 × 2³ = 8
• 1 × 2² = 4
• 0 × 2¹ = 0
• 1 × 2⁰ = 1
• Total: 8 + 4 + 0 + 1 = 13₁₀

Try Our Calculator

Practice with our Multi-Base Converter to see live conversions between binary, decimal, hex, and octal!

Advanced Techniques

For larger numbers, understanding patterns and shortcuts can make conversion faster...