Convert numbers between Binary, Octal, Decimal, and Hexadecimal.
In the digital world, numbers are more than just 0-9. Programmers, network engineers, and computer scientists communicate using Binary, Hexadecimal, and Octal systems. Our Universal Base Converter bridges the gap, allowing you to translate numbers between these systems instantly and accurately.
Humans count in Decimal (Base 10) because we have ten fingers. It's intuitive for us. However, computers run on electricity, which has two states: on and off. This naturally leads to Binary (Base 2).
But reading long strings of binary (like 110101110101) is painful for humans. That's where Hexadecimal (Base 16) and Octal (Base 8) come in—they act as shorthand notations that make binary data easier for humans to read and write.
The Machine Language. Uses only two digits: 0 and 1. Every piece of data in your computer—images, text, music—is ultimately stored as binary.
The Human Standard. Uses digits 0-9. This is how we do math, handle money, and count everyday objects.
The Web Standard. Uses digits 0-9 and letters A-F. Widely used in web design (CSS Color Codes like #FF5733) and memory addressing.
The Legacy Standard. Uses digits 0-7. Historically used in older computing systems and still relevant for Unix/Linux file permissions (e.g., chmod 755).
Our tool is designed for speed and simplicity. It features real-time, bidirectional conversion.
101 in the Binary field.Here is a quick reference guide for the first 15 numbers:
| Decimal | Binary | Hexadecimal | Octal |
|---|---|---|---|
| 1 | 0001 | 1 | 1 |
| 5 | 0101 | 5 | 5 |
| 10 | 1010 | A | 12 |
| 15 | 1111 | F | 17 |
| 16 | 10000 | 10 | 20 |
| 255 | 11111111 | FF | 377 |
To convert binary to decimal, multiply each digit by 2 raised to the power of its position (starting from 0 on the right). For example, 101 = (1 × 2²) + (0 × 2¹) + (1 × 2⁰) = 4 + 0 + 1 = 5.
Our tool uses smart validation. Since binary only supports 0 and 1, typing '2' will likely be ignored or result in an error message, as '2' does not exist in the binary system.
Hexadecimal is perfect for representing RGB values because a byte (0-255) fits exactly into two hex digits (00 to FF). This makes it concise. For example, pure red is (255, 0, 0) in decimal, which is #FF0000 in hex.
Yes, our Base Converter is completely free, runs entirely in your browser, and requires no downloads.
Whether you are debugging a network packet, learning computer science fundamentals, or just trying to decipher a hex color code, our Universal Base Converter is the reliable, fast, and accurate tool you need. Bookmark it today and never struggle with number systems again.