Prefixes Converter

Convert between SI and binary prefixes: kilo, mega, giga, tera, and more

SI Decimal Prefixes

Large Units

Tera (T) = 10¹² • Giga (G) = 10⁹ • Mega (M) = 10⁶ • Kilo (k) = 10³

Small Units

Milli (m) = 10⁻³ • Micro (μ) = 10⁻⁶ • Nano (n) = 10⁻⁹ • Pico (p) = 10⁻¹²

Examples

1 GHz = 1,000,000,000 Hz • 5 mm = 0.005 m

Binary Prefixes (Computing)

IEC Standard

Tebi (Ti) = 2⁴⁰ • Gibi (Gi) = 2³⁰ • Mebi (Mi) = 2²⁰ • Kibi (Ki) = 2¹⁰

Traditional Computing

TB = 2⁴⁰ bytes • GB = 2³⁰ bytes • MB = 2²⁰ bytes • KB = 2¹⁰ bytes

Memory Examples

1 GiB = 1,073,741,824 bytes • 1 GB = 1,000,000,000 bytes

About Unit Prefixes

Unit prefixes are used to express very large or very small quantities by multiplying the base unit by powers of 10 (SI prefixes) or powers of 2 (binary prefixes). This converter handles both decimal and binary prefix systems commonly used in science and computing.

Applications

  • • Scientific notation conversion
  • • Engineering calculations
  • • Computer memory sizing
  • • Data storage calculations
  • • Network bandwidth measurements
  • • Electronic component values

Prefix Categories

  • Yotta (Y): 10²⁴ (septillion)
  • Zetta (Z): 10²¹ (sextillion)
  • Exa (E): 10¹⁸ (quintillion)
  • Peta (P): 10¹⁵ (quadrillion)
  • Femto (f): 10⁻¹⁵ (quadrillionth)
  • Atto (a): 10⁻¹⁸ (quintillionth)

Real-World Examples

  • Petabyte (PB): Large data centers
  • Terahertz (THz): Electromagnetic radiation
  • Gigawatt (GW): Power plant capacity
  • Nanometer (nm): Semiconductor processes
  • Picosecond (ps): Light travel time
  • Femtometer (fm): Nuclear physics

Usage Guidelines

  • • Use SI prefixes for scientific measurements
  • • Use binary prefixes (IEC) for computer memory
  • • Avoid mixing decimal and binary interpretations
  • • Consider context when choosing prefixes
  • • Use consistent notation in calculations
  • • Be aware of legacy computing conventions

SI vs Binary Prefixes

SI prefixes use powers of 10 (1000) and are standard in science and engineering.Binary prefixes use powers of 2 (1024) and are used in computing for memory and storage. The difference becomes significant at larger scales: 1 GB = 1,000,000,000 bytes (decimal) vs 1 GiB = 1,073,741,824 bytes (binary).