How to use Number Base Converter
- 1
Open the Number Base Converter
Go to tools.slaytic.com and open the Number Base Converter. No sign-up or account required.
- 2
Choose your input base
Select whether you are entering binary, octal, decimal or hexadecimal.
- 3
Type your number
Enter the digits without any 0x or 0b prefix.
- 4
Read all four conversions
Every base is shown at once, so you can compare the representations side by side.
How this works in your browser
The input is parsed from its stated base into a single numeric value, then that value is re-rendered into each of the four bases. Doing it that way, through one canonical value rather than converting between bases directly, is what keeps every result consistent: a mistake in one conversion cannot cascade into the others. Digit validation happens at the parse stage, which is why entering 9 with binary selected produces a clear error rather than a plausible wrong answer. All bases derive from the same arithmetic, so binary and hexadecimal are simply different groupings of the same underlying quantity, which is the idea the four-way view is meant to make visible.
Number Base Converter vs. traditional online converters
| Feature | Number Base Converter (in-browser) | Traditional online converters |
|---|---|---|
| File upload required | No - never leaves your device | Yes - file is sent to a server |
| Processing queue | None - starts instantly | Often, especially at peak times |
| Watermark on output | Never | Common on free plans |
| Usage limits | None - free, unlimited use | Often capped per day or file size |
| Works offline once loaded | Yes, for most tools | No - requires a live connection |
| Account required | No | Often, for anything beyond a trial |
Who uses Number Base Converter
Reading memory and byte values
Convert hexadecimal dumps and register values into decimal while debugging.
Unix file permissions
Translate between octal permission modes and the binary flags they represent.
Working with colour codes
Move between hex colour values and their decimal component numbers.
Learning number systems
See how one value looks across four bases at the same time.
Frequently asked questions
Which bases are supported?
Binary (base 2), octal (base 8), decimal (base 10), and hexadecimal (base 16).
What happens with invalid digits for a base?
The tool shows a clear error, for example if you enter 9 while the input base is set to binary.
Are negative numbers supported?
No, this version supports non-negative whole numbers only.
Why do programmers use hexadecimal so much?
Because one hex digit maps exactly onto four binary digits, so a byte is always two hex characters and nothing else. That clean alignment makes hex a compact way to write binary that a person can still read, which is why colours, memory addresses and byte values are all written that way.
Why does octal still exist?
Mostly through Unix file permissions, where each digit encodes read, write and execute as three bits. A permission of 755 is really three sets of three binary flags, which is why the numbers look arbitrary until you see the binary underneath.
What does 0x or 0b at the start of a number mean?
They are prefixes telling a programming language which base follows: 0x for hexadecimal and 0b for binary. Enter the digits without the prefix here, since the base is chosen separately.
Why do the same digits mean different values?
Because a base defines what each position is worth. In binary each place doubles, in hex each place multiplies by sixteen. So 10 means two in binary, eight in octal, ten in decimal and sixteen in hex, all from the same two characters.