Number Base Converter - Binary, Hex, Octal, Decimal

Understanding Number Bases

Number base conversion is fundamental to computer science and digital electronics. While humans typically use decimal (base 10), computers work in binary (base 2), and programmers frequently use hexadecimal (base 16) for its compact representation of binary data.

Understanding these different bases helps with programming, debugging, network addresses, color codes, and memory addresses.

Why Number Base Conversion Matters

Programming: Understanding memory addresses and bit operations.
Web Development: Hex color codes (#FF0000 = red).
Networking: IP addresses in different formats.
Security: Encryption and hashing often work in specific bases.

Common Number Systems

Binary (Base 2): Uses 0, 1 Octal (Base 8): Uses 0-7 Decimal (Base 10): Uses 0-9 Hexadecimal (Base 16): Uses 0-9, A-F

Quick Reference Chart

Decimal | Binary | Octal | Hex 0 | 0000 | 0 | 0 1 | 0001 | 1 | 1 8 | 1000 | 10 | 8 9 | 1001 | 11 | 9 10 | 1010 | 12 | A 15 | 1111 | 17 | F 16 | 10000 | 20 | 10 255 | 11111111| 377 | FF

Common Conversions

Decimal to Binary: Divide by 2, keep remainder

Binary to Hex: Group 4 bits from right

Decimal to Hex: Convert to binary, then to hex

Example 255: 11111111 (binary) = FF (hex)

Personal Example

I was picking a hex color code for my website and wanted a nice red. Found #FF0000 and wondered what that meant—converting it showed it was 255 in red, 0 green, 0 blue. Now I understand how colors work!