The Complete SI Prefix Conversion Chart: Pico to Giga
The definitive SI prefix conversion chart covering pico, nano, micro, milli, kilo, mega, and giga. Every prefix, every factor, worked examples across 8 unit types, and the rule that prevents 1,000× errors.
The International System of Units (SI) uses a single mechanism to express any quantity at any scale: a prefix multiplied by a base unit. One prefix, one rule, infinite range. A kilogram and a microgram are the same unit — gram — shifted by nine orders of magnitude using two prefixes. A nanosecond and a megasecond are the same unit — second — shifted by fifteen.
This is the complete reference. Every major SI prefix, its exact multiplier, its symbol, and how it converts to the prefixes beside it. Bookmark it. The rule that prevents 1,000× errors is at the end.
The Complete SI Prefix Chart
| Prefix | Symbol | Power | Multiplier | Relative to Base |
|---|---|---|---|---|
| Giga | G | 10⁹ | 1,000,000,000 | × 1,000,000,000 |
| Mega | M | 10⁶ | 1,000,000 | × 1,000,000 |
| Kilo | k | 10³ | 1,000 | × 1,000 |
| Hecto | h | 10² | 100 | × 100 |
| Deca | da | 10¹ | 10 | × 10 |
| — (base) | — | 10⁰ | 1 | × 1 |
| Deci | d | 10⁻¹ | 0.1 | ÷ 10 |
| Centi | c | 10⁻² | 0.01 | ÷ 100 |
| Milli | m | 10⁻³ | 0.001 | ÷ 1,000 |
| Micro | µ | 10⁻⁶ | 0.000001 | ÷ 1,000,000 |
| Nano | n | 10⁻⁹ | 0.000000001 | ÷ 1,000,000,000 |
| Pico | p | 10⁻¹² | 0.000000000001 | ÷ 1,000,000,000,000 |
| Femto | f | 10⁻¹⁵ | 10⁻¹⁵ | ÷ 10¹⁵ |
All 20+ SI prefixes are defined by BIPM in the official SI Brochure. The 12 above cover 99% of engineering and scientific use.
The One Rule Behind All of It
The SI prefix system is built on powers of ten. Converting between any two prefixes means finding the difference in their exponents and applying it as a power of 10.
Between adjacent major prefixes (giga ↔ mega ↔ kilo ↔ base ↔ milli ↔ micro ↔ nano ↔ pico): each step is exactly ×1,000 (10³).
graph LR
G[Giga<br>10⁹] -->|"÷ 1,000"| M[Mega<br>10⁶]
M -->|"÷ 1,000"| K[Kilo<br>10³]
K -->|"÷ 1,000"| B[Base<br>10⁰]
B -->|"÷ 1,000"| Mi[Milli<br>10⁻³]
Mi -->|"÷ 1,000"| Mc[Micro<br>10⁻⁶]
Mc -->|"÷ 1,000"| N[Nano<br>10⁻⁹]
N -->|"÷ 1,000"| P[Pico<br>10⁻¹²]
style G fill:#1e1b4b,color:#fff
style M fill:#312e81,color:#fff
style K fill:#4c1d95,color:#fff
style B fill:#6d28d9,color:#fff
style Mi fill:#7c3aed,color:#fff
style Mc fill:#a855f7,color:#fff
style N fill:#c084fc,color:#111
style P fill:#e9d5ff,color:#111
Count the steps between any two prefixes. Multiply by 1,000 per step going down (toward smaller). Divide by 1,000 per step going up (toward larger).
Examples:
- Kilo → milli: 2 steps down → ×1,000,000 (1 km = 1,000,000 mm)
- Micro → nano: 1 step down → ×1,000 (1 µs = 1,000 ns)
- Nano → kilo: 4 steps up → ÷1,000,000,000,000 (1 nm = 0.000000000001 km)
- Giga → micro: 5 steps down → ×10¹⁵ (1 GHz = 1,000,000,000,000,000 µHz)
Quick-Convert Calculator
- Scientific Notation
- 1 × 10³ µ-unit
- Real-World Context
- A milli-unit is exactly 1/1,000th of its base unit.
- Step-by-Step
- 1. Start with 1 m-unit. 2. Since 1 milli-unit = 1,000 micro-units, multiply by 1,000. 3. 1 × 1,000 = 1,000 µ-unit.
- Formula Used
- × 1,000 (milli = 10⁻³, micro = 10⁻⁶)
Quick Conversions
| Mega | 1.000000e-9 M-unit |
|---|---|
| Kilo | 0.000001 k-unit |
| Base Unit (base units (unit)) | 0.001 base |
| Nano | 1,000,000 n-unit |
| Pico | 1.000000e+9 p-unit |
For specific unit pairs, use the dedicated converters: mm to µm · mA to µA · mV to µV · mg to µg · ms to µs · mL to µL · mF to µF · mW to µW · browse all 40 converters.
Prefix-to-Prefix Conversion Tables
The Four Most Common Engineering Steps
These four adjacent-prefix conversions cover the vast majority of errors seen in practice.
Kilo ↔ Base ↔ Milli (3 steps, ×1,000 each)
| Kilo | Base | Milli |
|---|---|---|
| 1 km | 1,000 m | 1,000,000 mm |
| 1 kg | 1,000 g | 1,000,000 mg |
| 1 kHz | 1,000 Hz | 1,000,000 mHz |
| 1 kV | 1,000 V | 1,000,000 mV |
Milli ↔ Micro (1 step, ×1,000)
The most common prefix confusion in electronics, medicine, chemistry, and computing. Every post in this series covers a domain-specific application.
| Milli | Micro | Domain |
|---|---|---|
| 1 mm | 1,000 µm | Machining tolerance |
| 1 mA | 1,000 µA | Battery life / IoT |
| 1 mV | 1,000 µV | Signal chain / sensors |
| 1 mg | 1,000 µg | Drug dosing |
| 1 ms | 1,000 µs | Latency / timing |
| 1 mL | 1,000 µL | Lab pipetting |
| 1 mF | 1,000 µF | Capacitor selection |
| 1 mH | 1,000 µH | Inductor / RF / SMPS |
| 1 mW | 1,000 µW | Power budgeting |
| 1 mΩ | 1,000 µΩ | Shunt / trace resistance |
| 1 mS | 1,000 µS | Water conductivity |
| 1 mbar | 1,000 µbar | Pressure systems |
| 1 mmol | 1,000 µmol | Lab chemistry / clinical |
Micro ↔ Nano (1 step, ×1,000)
| Micro | Nano | Domain |
|---|---|---|
| 1 µm | 1,000 nm | Semiconductor fab / optics |
| 1 µs | 1,000 ns | CPU clock cycles / RF |
| 1 µA | 1,000 nA | Ultra-low-power sensing |
| 1 µF | 1,000 nF | Filter / coupling caps |
| 1 µW | 1,000 nW | RF energy harvesting |
Nano ↔ Pico (1 step, ×1,000)
| Nano | Pico | Domain |
|---|---|---|
| 1 nA | 1,000 pA | Leakage current, photodetectors |
| 1 nF | 1,000 pF | RF / microwave capacitors |
| 1 ns | 1,000 ps | High-speed digital, RF timing |
| 1 nm | 1,000 pm | X-ray crystallography, atomic radii |
The Same Rule Across Every Physical Quantity
The prefix is independent of the base unit. The multiplication factor is the same whether you are working in length, current, mass, time, voltage, or energy. This is the power of the SI system — one mental model covers all quantities.
Full Cross-Prefix Reference: Length
| Prefix | Value | Equivalent to | Real-World Scale |
|---|---|---|---|
| 1 km | 10³ m | 1,000 m | City block to city distance |
| 1 m | 10⁰ m | 1 m | Human-scale baseline |
| 1 cm | 10⁻² m | 0.01 m | Fingernail width |
| 1 mm | 10⁻³ m | 0.001 m | Pencil tip |
| 1 µm | 10⁻⁶ m | 0.000001 m | Bacterium, machining tolerance |
| 1 nm | 10⁻⁹ m | 0.000000001 m | DNA strand width, chip gate |
| 1 pm | 10⁻¹² m | 0.000000000001 m | Atomic radius |
Full Cross-Prefix Reference: Time
| Prefix | Value | Equivalent | Real-World Scale |
|---|---|---|---|
| 1 Ms | 10⁶ s | ~11.6 days | Long operations |
| 1 ks | 10³ s | ~16.7 min | Batch processing |
| 1 s | 10⁰ s | 1 second | Human perception baseline |
| 1 ms | 10⁻³ s | 0.001 s | Eye blink, UI responsiveness |
| 1 µs | 10⁻⁶ s | 0.000001 s | Microcontroller instruction |
| 1 ns | 10⁻⁹ s | 0.000000001 s | CPU clock cycle |
| 1 ps | 10⁻¹² s | 0.000000000001 s | RF signal propagation |
Full Cross-Prefix Reference: Electric Current
| Prefix | Value | Equivalent | Real-World Scale |
|---|---|---|---|
| 1 A | 10⁰ A | 1 ampere | Power device baseline |
| 1 mA | 10⁻³ A | 0.001 A | Active IoT/LED current |
| 1 µA | 10⁻⁶ A | 0.000001 A | Sleep current |
| 1 nA | 10⁻⁹ A | 0.000000001 A | CMOS leakage |
| 1 pA | 10⁻¹² A | 0.000000000001 A | Photodetector, ion channel |
The Direction Rule: Never Guess
When converting between prefixes, the direction is the most common error point. Use this test every time:
Moving to a smaller unit → number gets larger. Moving to a larger unit → number gets smaller.
| Conversion | Direction | Factor | Example |
|---|---|---|---|
| milli → micro | smaller unit | ×1,000 | 5 mA → 5,000 µA |
| micro → milli | larger unit | ÷1,000 | 2,500 µs → 2.5 ms |
| kilo → milli | 2 steps smaller | ×1,000,000 | 2 km → 2,000,000 mm |
| nano → micro | 1 step larger | ÷1,000 | 47,000 ns → 47 µs |
| micro → nano | 1 step smaller | ×1,000 | 0.1 µF → 100 nF |
If your converted number shrank while you moved to a smaller unit, you divided when you needed to multiply. The error is always in the direction, never in the factor.
Frequently Asked Questions
What is the difference between metric prefixes and SI prefixes? SI prefixes are the internationally standardized set defined by the BIPM (Bureau International des Poids et Mesures). "Metric prefixes" is informal shorthand for the same set. All SI prefixes are metric; all standard metric prefixes are SI.
Which prefix is 1,000 times smaller than milli? Micro (µ). 1 milli = 1,000 micro. The next step below micro is nano — 1,000 times smaller than micro, 1,000,000 times smaller than milli.
How many nanometers are in a millimeter? 1 mm = 1,000 µm = 1,000,000 nm. Two steps on the prefix ladder (milli → micro → nano), each ×1,000, gives ×1,000,000 total.
What is the difference between µ (micro) and m (milli) in a unit symbol? Capitalization and the symbol itself both matter. m = milli (10⁻³). µ = micro (10⁻⁶). M = mega (10⁶). These are distinct — mA (milliampere) and µA (microampere) are 1,000× different currents. In plain text where µ is unavailable, "u" is the accepted ASCII substitute (uA, um, us).
How do I remember the prefix order from large to small? A common mnemonic for the major prefixes from large to small: "Good Mechanics Know How Dirty Centimeters Make Measuring Nasty, Particularly Frustrating" — Giga, Mega, Kilo, Hecto, Deca, Centi, Milli, Micro, Nano, Pico, Femto. The ones that matter most in engineering: Giga–Kilo–Base–Milli–Micro–Nano–Pico, each 1,000× from its neighbor.
Where can I convert specific unit pairs? Use the dedicated converters: mm to µm, mA to µA, mV to µV, mg to µg, ms to µs, mL to µL, mF to µF, mW to µW, or browse all 40 converters.
Next: See how getting these prefixes wrong has shut down factories, recalled products, and cost lives — How Wrong Units Cost Engineers Millions: Real-World Conversion Disasters.
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