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Number Base Converter

Convert numbers between binary, octal, decimal, and hexadecimal with live conversion and bit representation.

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Free Online Number Base Converter

Convert integers between the four most common number bases: binary (base 2), octal (base 8), decimal (base 10), and hexadecimal (base 16). Type in any field and all others update instantly. A visual bit representation shows the binary layout for 8, 16, 32, and 64-bit widths. Useful for programming, embedded systems, network configuration, and computer science students.

Number Base Tips

  • Binary uses only 0 and 1 โ€” the native language of computers
  • Hexadecimal is commonly used in color codes (#FF5733) and memory addresses
  • Octal is used in Unix/Linux file permissions (e.g., chmod 755)
  • One hex digit equals exactly 4 binary bits (a nibble)
  • Prefix 0b for binary, 0o for octal, 0x for hex in most programming languages

Frequently Asked Questions

How do I convert decimal to binary?
Repeatedly divide the decimal number by 2 and record the remainders from bottom to top. For example, 13 in decimal is 1101 in binary (13=8+4+1). This tool does it instantly for you.
What is hexadecimal used for?
Hexadecimal (base 16) is widely used in programming for memory addresses, color codes in CSS/HTML (#RRGGBB), IPv6 addresses, MAC addresses, and byte-level data representation. It is more compact than binary while still mapping cleanly to binary nibbles.
What is the maximum number this converter supports?
The converter supports safe JavaScript integers up to 2^53-1 (9007199254740991 in decimal). For most practical purposes including 32-bit and 64-bit integers this range is sufficient. The bit display shows up to 32 bits.
How are negative numbers represented?
This converter works with non-negative (unsigned) integers. Negative numbers in computing use two's complement representation, which is not shown here. For signed integer conversion, enter the value as a positive number and interpret the binary as two's complement manually.
What does the bit representation show?
The bit representation visually shows the binary digits grouped into bytes (8 bits). Each bit is highlighted to show whether it is 0 or 1. This is useful for understanding binary layouts, bit masking, and low-level programming concepts.

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