Base Calculator
Convert numbers between different bases (binary, decimal, octal, hexadecimal) with step-by-step calculations. Perfect for programming, computer science, and mathematical calculations.
Number Base Converter
Common Base Conversions
Click on these links to see instant conversions with common values:
Number Base Conversions
Number bases (or radix) are different ways to represent numbers using different sets of digits. Each base uses a specific number of unique digits.
Common Number Bases
Octal (Base 8): Uses digits 0, 1, 2, 3, 4, 5, 6, 7
Decimal (Base 10): Uses digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
Hexadecimal (Base 16): Uses digits 0-9, A, B, C, D, E, F
Base Conversion Examples
| Decimal | Binary | Octal | Hexadecimal |
|---|---|---|---|
| 0 | 0 | 0 | 0 |
| 10 | 1010 | 12 | A |
| 15 | 1111 | 17 | F |
| 255 | 11111111 | 377 | FF |
| 1024 | 10000000000 | 2000 | 400 |
- Programming: Convert between binary, hex, and decimal for coding
- Computer Science: Understand data representation and memory addresses
- Digital Electronics: Work with binary and hexadecimal values
- Mathematics: Learn different numeral systems and their properties
- Networking: Convert IP addresses and subnet masks
Frequently Asked Questions
What is a number base?
A number base (or radix) is the number of unique digits used to represent numbers in a positional numeral system. Common bases include binary (base 2), decimal (base 10), and hexadecimal (base 16).
How do you convert between number bases?
To convert between bases, first convert the number to decimal (base 10), then convert from decimal to the target base using division and remainder operations.
What are the most common number bases?
The most common number bases are binary (base 2) used in computers, decimal (base 10) used in everyday math, octal (base 8), and hexadecimal (base 16) used in programming.