Convert Number Bases

Professional base converter with instant processing. Convert between Binary, Octal, Decimal, Hexadecimal, Base32, and Base64 instantly.

Instant Processing

100% Private

Completely Free

Enter binary: ₂

Enter octal: ₈

Enter decimal: ₁₀

Enter hexadecimal: ₁₆

Enter base32: ₃₂

Enter base64: ₆₄

Base conversion result

Decimal	Binary	Octal	Hexadecimal	Use Case
0	0	0	0	Zero
1	1	1	1	One
8	1000	10	8	Byte
10	1010	12	A	Ten
15	1111	17	F	Fifteen
16	10000	20	10	Hex Digit
255	11111111	377	FF	Max Byte
256	100000000	400	100	Kilobyte

Conversion Formulas

Decimal to Binary:
Repeatedly divide by 2
Decimal to Octal:
Repeatedly divide by 8
Decimal to Hexadecimal:
Repeatedly divide by 16

Binary to Decimal:
Sum of (digit × 2^position)
Octal to Decimal:
Sum of (digit × 8^position)
Hex to Decimal:
Sum of (digit × 16^position)

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Frequently Asked Questions

A number base converter is a tool that converts numbers between different numeral systems such as binary (base 2), octal (base 8), decimal (base 10), hexadecimal (base 16), and others like base 32 or base 64.

Binary (base 2) uses digits 0–1; octal (base 8) uses 0–7; decimal (base 10) uses 0–9; and hexadecimal (base 16) uses 0–9 plus A–F. They all represent numbers differently but hold the same underlying value.

You can convert any number to decimal first, then from decimal to the target base. Our Base Converter handles this automatically — just enter your number, select the source base, and see all conversions instantly.

The decimal system uses base 10, meaning it has 10 digits (0–9). It is the standard number system used in everyday arithmetic and is the most familiar to humans.

Binary (base 2) is the fundamental language of computers and digital electronics. All data in computers is ultimately stored and processed as binary (0s and 1s), representing the off/on states of transistors.

Hexadecimal (base 16) is widely used in computing for memory addresses, color codes (#RRGGBB), machine code, bitmasks, and cryptographic hashes. It provides a compact representation of binary data — 1 hex digit = 4 binary bits.

Yes! Our Base Converter supports Base32 and Base64 conversions in addition to binary, octal, decimal, and hex. Base64 is commonly used for encoding binary data in URLs, emails, and web APIs.