Number Base Converter
Convert numbers between binary, octal, decimal, and hexadecimal bases.
Binary0b11111111
Octal0o377
Decimal255
Hexadecimal0xFF
8-bit binary representation
17
16
15
14
13
12
11
10
How it works
Enter a number and select its current base (binary, octal, decimal, or hexadecimal). The converter instantly shows the equivalent value in all other number bases simultaneously. Handles both positive integers and large values.
Why use this tool?
Computer science students and developers use number base converters when working with binary logic, hexadecimal color codes, memory addresses, and bitwise operations in programming.
Frequently Asked Questions
What are the four common number bases?
Binary (base 2, digits 0–1), Octal (base 8, digits 0–7), Decimal (base 10, digits 0–9), and Hexadecimal (base 16, digits 0–9 and A–F). All four conversions are shown simultaneously.
Why do programmers use hexadecimal?
Hex is compact — each hex digit represents exactly 4 binary bits. Memory addresses, color codes (#FF5733), file hashes, and byte values are all naturally expressed in hexadecimal.
Why do computers use binary?
Computers are built from transistors that have two states: on (1) or off (0). Binary directly maps to this physical reality. All other number systems are just human-readable representations of binary.
Is this free?
Yes, completely free and converts all bases simultaneously as you type.
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