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
₁₀
₁₆
₃₂
₆₄

Base conversion result

Binary: 0 | Octal: 0 | Decimal: 0 | Hex: 0 | Base32: AA==== | Base64: AA==
Decimal Binary Octal Hexadecimal Use Case
0000Zero
1111One
81000108Byte
10101012ATen
15111117FFifteen
16100002010Hex Digit
25511111111377FFMax Byte
256100000000400100Kilobyte
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.