Decimal to Binary Converter

Convert decimal numbers to binary, view two's complement representation, and get hexadecimal equivalents.

Instant Conversion
Step-by-Step Guide
Integer Support
Free Tool
10
2
2
16

Interesting History

Ancient Origins

Binary numbers have roots in ancient China. The I Ching (1000-750 BCE) used binary combinations of broken and unbroken lines to represent different states and concepts.

Modern Development

Gottfried Leibniz, in 1679, established modern binary arithmetic. He was inspired by ancient Chinese texts and developed the mathematical foundations we use today.

Digital Revolution

Claude Shannon's 1937 master's thesis demonstrated how binary arithmetic and Boolean algebra could be used to create digital circuits, laying the foundation for modern computing.

Features

Binary Conversion

Convert any decimal number to its binary representation with instant results.

Two's Complement

View the two's complement representation for signed binary numbers.

Hexadecimal Output

Get the hexadecimal equivalent of your decimal number automatically.

Key Features

Conversion Capabilities

  • Decimal to binary conversion
  • Support for positive and negative numbers
  • Two's complement representation
  • Hexadecimal conversion

Educational Features

  • Step-by-step conversion process
  • Multiple number system support
  • Binary arithmetic explanations
  • Practice exercises

Technical Tools

  • Bit manipulation operations
  • Binary arithmetic calculations
  • Signed number handling
  • Base conversion utilities

Advanced Options

  • Custom bit-width selection
  • Binary formatting options
  • Error checking and validation
  • Export capabilities

About Decimal to Binary Converter

Our decimal to binary converter is a powerful tool for programmers, students, and professionals who need to work with different number systems. It provides instant conversion along with additional number representations.

Whether you're learning about binary numbers, working on digital electronics, or debugging computer programs, this tool helps you understand and work with different numerical representations.

Frequently Asked Questions

Basics

Fundamental concepts of binary numbers

Related Topics

Binary Numbers
Digital Logic
Computer Architecture
Number Systems
Boolean Algebra
Digital Electronics
Microprocessors
Data Representation
Binary Arithmetic
Two's Complement
Hexadecimal System
Bit Operations