Base & Code Converter
Convert between Binary, Octal, Decimal & Hexadecimal in real-time with clear step-by-step logic.
Allowed: 0-7
Conversion Result
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All Base Equivalent Matrix
Decimal
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Binary
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Octal
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Hexadecimal
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📖 Step-by-Step Conversion Logic
What is Decimal (Base 10)?
The standard numerical system used by humans, utilizing digits from 0 to 9. It forms the core foundation for everyday arithmetic and calculations.
What is Binary (Base 2)?
The foundational language of computers. It represents data using only two states: 0 (OFF) and 1 (ON) for hardware logic execution.
What is Octal (Base 8)?
Uses digits from 0 to 7. It is commonly used in computing systems, such as defining Unix/Linux file permissions (`chmod 755`).
What is Hexadecimal (Base 16)?
Uses digits 0–9 and letters A–F. Widely applied to shorten binary representations, such as memory addresses and HTML/CSS color codes (`#FFFFFF`).
Frequently Asked Questions
Everything you need to know about number base conversions & LetsDcode.
What is a Number Base System? â–¼
A number base (or radix) is the number of unique digits used to represent numbers. For example, Decimal uses base 10 (digits 0-9), while Binary uses base 2 (digits 0 and 1).
Why do developers need Hexadecimal and Octal bases? â–¼
Binary strings are very long and hard for humans to read. Hexadecimal (Base 16) and Octal (Base 8) group binary digits cleanly into compact forms, making memory addresses, Linux permissions, and color codes much easier to work with.
How does LetsDcode calculate step-by-step conversions? â–¼
LetsDcode first converts your input number into Decimal using positional notation (digit × baseposition). Then, it converts that Decimal value into the target base using successive division or binary expansion, showing you every intermediate mathematical step.
Is my data safe when using LetsDcode? â–¼
Yes, 100%! All calculations and conversions are performed directly inside your browser using client-side JavaScript. None of your inputs or data are sent to any external server.