CalculatorsHub
Math

Number Base Converter: Binary, Octal, Hex

Convert between binary, octal, decimal, and hexadecimal.

Computers use different number systems.

Common Bases

  • Binary (2): 0,1 — computer language
  • Octal (8): 0-7 — Unix permissions
  • Decimal (10): 0-9 — human
  • Hex (16): 0-9,A-F — colors, memory

Converting

To decimal: digit × base^position, sum up.

From decimal: Repeatedly divide, collect remainders.

Frequently Asked Questions

Binary to decimal?
Each bit × 2^position. 1010 = 8+2 = 10.
Why hex?
Compact binary. Each hex digit = 4 bits.
Decimal to binary?
Divide by 2, collect remainders bottom to top.