Bin-Dec-Hex Converter

Quickly convert binary, decimal and hexadecimal numbers.

Conversion Tips

Enter a number in any format to instantly see the others.

Number System Trivia

Binary basics

Binary numbers use base 2 with the digits 0 and 1, mirroring the on/off states of digital electronics.

  • Each bit represents an increasing power of two from right to left.
  • Eight bits form a byte that stores values from 0 to 255.

Decimal in daily life

Decimal is the base-10 system most people use because it aligns with counting on ten fingers.

  • Place values grow by powers of ten (ones, tens, hundreds, ...).
  • Financial records and measurements almost always use decimal.

Hexadecimal shortcuts

Hexadecimal uses base 16 with digits 0-9 and letters A-F, making it compact for representing large binary values.

  • One hex digit maps to exactly four binary bits.
  • Hex is widely used to display memory addresses and color codes.

Conversion tips

Group digits and use positional values to convert between bases without mistakes.

  • Binary ↔ Decimal: sum powers of two or repeatedly divide by two.
  • Decimal ↔ Hex: divide by sixteen or regroup binary bits into nibbles.
  • Binary ↔ Hex: translate every four bits to a single hex character.

Where each base is used

Different bases shine in different contexts.

  • Binary powers modern computing hardware and low-level protocols.
  • Decimal dominates human communication, finance, and documentation.
  • Hexadecimal bridges human readability with binary precision in development tools.