2.4 GHz in MHz
- Value
- 2.4
- From
- giga (G, 10⁹)
- To
- mega (M, 10⁶)
- Unit symbol
- Hz
- Converted value
- 2,400 MHz
- Conversion
- 2.4 GHz = 2,400 MHz
- Shift in powers of ten
- 3
Checked against: giga = 10⁹, mega = 10⁶ (SI Brochure Table 7): 2.4 × 10³
SI and metric prefix converter
Convert between SI metric prefixes such as giga, mega, kilo, milli, micro and nano, from quecto (10⁻³⁰) to quetta (10³⁰), including the 2022 additions.
By AdminDrafted with AI writing toolsUpdated Checked examples: 5
Converted value
MHz
Converted value: 2,400 MHz
- Conversion
- 2.4 GHz = 2,400 MHz
- Shift in powers of ten
- 3
Going from giga (10⁹) to mega (10⁶) shifts the decimal point by 3 to the right: 2.4 GHz = 2,400 MHz.
Where the two prefixes sit on the powers of ten
2.4 GHz with every prefix
| Prefix | Factor | Value |
|---|---|---|
| quetta (Q) | 10³⁰ | 2.4 × 10⁻²¹ QHz |
| ronna (R) | 10²⁷ | 2.4 × 10⁻¹⁸ RHz |
| yotta (Y) | 10²⁴ | 2.4 × 10⁻¹⁵ YHz |
| zetta (Z) | 10²¹ | 2.4 × 10⁻¹² ZHz |
| exa (E) | 10¹⁸ | 2.4 × 10⁻⁹ EHz |
| peta (P) | 10¹⁵ | 0.0000024 PHz |
| tera (T) | 10¹² | 0.0024 THz |
| giga (G) | 10⁹ | 2.4 GHz |
| mega (M) | 10⁶ | 2,400 MHz |
| kilo (k) | 10³ | 2,400,000 kHz |
| hecto (h) | 10² | 24,000,000 hHz |
| deca (da) | 10¹ | 240,000,000 daHz |
| no prefix | 10⁰ | 2,400,000,000 Hz |
| deci (d) | 10⁻¹ | 24,000,000,000 dHz |
| centi (c) | 10⁻² | 240,000,000,000 cHz |
| milli (m) | 10⁻³ | 2,400,000,000,000 mHz |
| micro (µ) | 10⁻⁶ | 2.4 × 10¹⁵ µHz |
| nano (n) | 10⁻⁹ | 2.4 × 10¹⁸ nHz |
| pico (p) | 10⁻¹² | 2.4 × 10²¹ pHz |
| femto (f) | 10⁻¹⁵ | 2.4 × 10²⁴ fHz |
| atto (a) | 10⁻¹⁸ | 2.4 × 10²⁷ aHz |
| zepto (z) | 10⁻²¹ | 2.4 × 10³⁰ zHz |
| yocto (y) | 10⁻²⁴ | 2.4 × 10³³ yHz |
| ronto (r) | 10⁻²⁷ | 2.4 × 10³⁶ rHz |
| quecto (q) | 10⁻³⁰ | 2.4 × 10³⁹ qHz |
How it's calculated S
Prefix powers
SI Brochure Table 7; ronna, quetta, ronto and quecto since 2022.
Shift the power of ten
Powers of ten are exact: mathematical scaling moves the decimal point. The formatted display may still round the result.
About the SI and metric prefix converter
An SI prefix multiplies a unit by a power of ten: kilo is 10³, mega 10⁶, milli 10⁻³ and nano 10⁻⁹. Converting between two prefixes multiplies the value by 10 raised to the difference of their exponents, which moves the decimal point mathematically; the formatted display may still round. The converter covers all 24 SI prefixes, from quecto (10⁻³⁰) to quetta (10³⁰).
Engineers and students use it to move between scales of one unit. The default turns the 2.4 GHz Wi-Fi band into 2,400 MHz, a shift of three powers of ten. The unit symbol field only labels the result, so the same conversion works for metres, grams, hertz or watts.
Two BIPM rules apply to every prefix: prefixes are never combined (write nm, not mµm), and because the kilogram already carries one, prefixes attach to the gram: 1 mg, not 1 µkg.
In the formula, xₛ and xₜ are the source and target values, and eₛ and eₜ are their prefix exponents. A unit without a prefix has exponent zero.
How to convert between metric prefixes
Multiply by 10 to the power of the source exponent minus the target exponent. Giga is 10⁹ and mega is 10⁶, so 2.4 GHz is 2.4 × 10³ = 2,400 MHz. The same rule works for meters, grams, liters, seconds, hertz or watts.
What does milli mean?
Milli (m) means one thousandth, 10⁻³. A millimeter (mm) is 0.001 m, so 1 m is 1,000 mm; likewise a milligram is 0.001 g and a milliliter 0.001 L.
In "mm" the first m is the prefix and the second is the meter. Case matters: Mm, with a capital M, would be a megameter, a million meters.
SI prefix chart
| Prefix | Symbol | Factor |
|---|---|---|
| quetta | Q | 10³⁰ |
| ronna | R | 10²⁷ |
| yotta | Y | 10²⁴ |
| zetta | Z | 10²¹ |
| exa | E | 10¹⁸ |
| peta | P | 10¹⁵ |
| tera | T | 10¹² |
| giga | G | 10⁹ |
| mega | M | 10⁶ |
| kilo | k | 10³ |
| hecto | h | 10² |
| deca | da | 10¹ |
| No prefix | — | 10⁰ |
| deci | d | 10⁻¹ |
| centi | c | 10⁻² |
| milli | m | 10⁻³ |
| micro | µ | 10⁻⁶ |
| nano | n | 10⁻⁹ |
| pico | p | 10⁻¹² |
| femto | f | 10⁻¹⁵ |
| atto | a | 10⁻¹⁸ |
| zepto | z | 10⁻²¹ |
| yocto | y | 10⁻²⁴ |
| ronto | r | 10⁻²⁷ |
| quecto | q | 10⁻³⁰ |
The 24 prefixes come from the BIPM SI Brochure. Since CGPM Resolution 3 of 2022 added ronna, quetta, ronto and quecto, they span 60 powers of ten.
Worked prefix conversions
| Value | From | To | Unit symbol | Converted value |
|---|---|---|---|---|
| 2.4 | giga | mega | Hz | 2400 |
| 1 | milli | none | m | 0.001 |
| 1 | kilo | none | m | 1000 |
| 5 | micro | nano | s | 5000 |
| 1 | quetta | yotta | g | 1000000 |
Moving to a smaller prefix makes the number bigger: 5 µs is 5,000 ns. Moving to a larger prefix makes it smaller: 1,500 m is 1.5 km.
Prefixes in electronics and optics
- Capacitors: 100 nF = 0.1 µF = 100,000 pF. Parts are marked in all three, so the same value can look very different.
- Resistors: 3.3 kΩ is 3,300 Ω.
- Light: a 450 nm wavelength, in the blue part of the spectrum, is 0.45 µm.
Squared and cubed units
A prefix on a squared unit is squared too. 1 m is 1,000 mm, but 1 m² is 1,000,000 mm² and 1 m³ is 1,000,000,000 mm³.
Shifting 2.5 m² by 10³ gives 2,500 mm², a thousand times too small; the answer is 2,500,000 mm². For areas and volumes use the area converter or volume converter, and remember that 1 cm³ is exactly 1 mL.
What to enter
- The number alone: type 2.4 and pick giga; the letters GHz are not part of the number.
- None for the plain unit: it stands for exponent 0, such as m or g with no prefix.
- The unit symbol is a label: it never changes the arithmetic, so m² is not squared for you.
Common mistakes
- Mixing up m and M. 100 mHz is a tenth of a hertz, while 100 MHz sits in the FM radio band.
- Using 1,024 for kilo. In the SI, kilo is exactly 1,000. Binary multiples such as the kibibyte (1,024 bytes) have their own names; the data storage converter keeps them apart.
- Shifting a temperature. Celsius to Fahrenheit needs an offset as well as a scale, so use the temperature converter.
Related tools
The scientific notation calculator does arithmetic with powers of ten, the length converter turns metric lengths into inches and feet, and the lakh and crore converter names large numbers in words.
Worked examples
1 km in m
- Value
- 1
- From
- kilo (k, 10³)
- To
- none (10⁰)
- Unit symbol
- m
- Converted value
- 1,000 m
Checked against: kilo = 10³
1 quetta in yotta (2022 prefix)
- Value
- 1
- From
- quetta (Q, 10³⁰)
- To
- yotta (Y, 10²⁴)
- Unit symbol
- g
- Converted value
- 1,000,000 Yg
- Shift in powers of ten
- 6
Checked against: quetta = 10³⁰ (CGPM 2022), yotta = 10²⁴
Smallest to largest: quecto to quetta
- Value
- 1
- From
- quecto (q, 10⁻³⁰)
- To
- quetta (Q, 10³⁰)
- Unit symbol
- g
- Shift in powers of ten
- -60
- Converted value
- 1 × 10⁻⁶⁰ Qg
Checked against: 10⁻³⁰ / 10³⁰ = 10⁻⁶⁰
Questions
What are the SI prefixes in order?
There are 24. From largest: quetta (Q, 10³⁰), ronna (R, 10²⁷), yotta (Y, 10²⁴), zetta (Z), exa (E), peta (P), tera (T), giga (G), mega (M), kilo (k, 10³), hecto (h, 10²) and deca (da, 10¹). Then the submultiples: deci (d), centi (c), milli (m, 10⁻³), micro (µ), nano (n), pico (p), femto (f), atto (a), zepto (z), yocto (y), ronto (r) and quecto (q, 10⁻³⁰).
What are the newest SI prefixes?
Ronna (R, 10²⁷), quetta (Q, 10³⁰), ronto (r, 10⁻²⁷) and quecto (q, 10⁻³⁰), adopted by the 27th General Conference on Weights and Measures (CGPM) in November 2022. They were the first additions since zetta, yotta, zepto and yocto in 1991. On the new scale the Earth's mass, about 5.97 × 10²⁴ kg, is roughly 6 ronnagrams.
How do I convert between metric prefixes?
Subtract the exponents and move the decimal point that many places. From giga (10⁹) to mega (10⁶) is 9 − 6 = 3 places to the right, so 2.4 GHz = 2,400 MHz; from micro (10⁻⁶) to nano (10⁻⁹) is also 3 places, so 5 µs = 5,000 ns. Moving to a larger prefix shifts the point left: 1,500 m = 1.5 km.
Why is kilo a lowercase k but mega an uppercase M?
The SI writes the symbols for multiples from mega (M, 10⁶) upward in capitals, while kilo (k), hecto (h), deca (da) and every submultiple are lowercase. The case changes the value: 1 MW (megawatt) is 10⁹ times 1 mW (milliwatt). Writing K for kilo is wrong in the SI, because K is the symbol for the kelvin.
Does kilo mean 1,000 or 1,024 in computing?
In the SI, kilo always means exactly 1,000, so 1 kbit = 1,000 bits and 1 GB = 10⁹ bytes (NIST). For powers of two the IEC approved binary prefixes in December 1998: 1 KiB (kibibyte) = 1,024 bytes and 1 GiB = 2³⁰ = 1,073,741,824 bytes. The gap grows with size, which is why a 1 TB drive shows about 931 GiB.
About this calculator
Sources
Checked against references
This calculator includes 5 worked examples with independently sourced answers. They run in the test suite, and you can run them here too.