# 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.

직접 계산할 수 있는 페이지: https://www.calcopenly.com/ko/conversion/si-prefix-converter
분야: 단위 변환기

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 without changing any digits. 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.

## 입력

- **값**
- **변환 전** (선택 항목: 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), none (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))
- **변환 후** (선택 항목: 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), none (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))
- **Unit symbol**: Only used for labels, e.g. m, g, Hz, W

## 결과

- 변환된 값 — 주요 결과
- 단위 변환
- Shift in powers of ten

## 공식

$$
x_{\text{to}} = x_{\text{from}} \times 10^{\,e_{\text{from}} - e_{\text{to}}}
$$

## 계산 예제

### 2.4 GHz in MHz

- 값: 2.4
- 변환 전: giga (G, 10⁹)
- 변환 후: mega (M, 10⁶)
- Unit symbol: Hz
- **변환된 값: 2,400 MHz**
- **단위 변환: 2.4 GHz = 2,400 MHz**
- **Shift in powers of ten: 3**
- 검증 출처: giga = 10⁹, mega = 10⁶ (SI Brochure Table 7): 2.4 × 10³

### 1 km in m

- 값: 1
- 변환 전: kilo (k, 10³)
- 변환 후: none (10⁰)
- Unit symbol: m
- **변환된 값: 1,000 m**
- 검증 출처: kilo = 10³

### 1 quetta in yotta (2022 prefix)

- 값: 1
- 변환 전: quetta (Q, 10³⁰)
- 변환 후: yotta (Y, 10²⁴)
- Unit symbol: g
- **변환된 값: 1,000,000 Yg**
- **Shift in powers of ten: 6**
- 검증 출처: quetta = 10³⁰ (CGPM 2022), yotta = 10²⁴

### Smallest to largest: quecto to quetta

- 값: 1
- 변환 전: quecto (q, 10⁻³⁰)
- 변환 후: quetta (Q, 10³⁰)
- Unit symbol: g
- **Shift in powers of ten: -60**
- **변환된 값: 1 × 10⁻⁶⁰ Qg**
- 검증 출처: 10⁻³⁰ / 10³⁰ = 10⁻⁶⁰

### 5 µs in ns

- 값: 5
- 변환 전: micro (µ, 10⁻⁶)
- 변환 후: nano (n, 10⁻⁹)
- Unit symbol: s
- **변환된 값: 5,000 ns**
- 검증 출처: micro = 10⁻⁶, nano = 10⁻⁹: 5 × 10³

## 자주 묻는 질문

### 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.

### “SI and metric prefix converter”의 정확도는 어느 정도인가요?

정확도는 입력값과 계산 방법의 가정에 따라 달라집니다. 십진 연산은 유효숫자 50자리를 사용하지만, 추정값·수치해석 방법·원본 데이터의 정밀도는 더 낮을 수 있습니다. 표시값을 반올림해도 이러한 한계는 사라지지 않습니다. 독립적인 출처의 풀이와 대조한 계산 예시: 5. 예를 들어 “2.4 GHz in MHz”은 giga = 10⁹, mega = 10⁶ (SI Brochure Table 7): 2.4 × 10³와 대조해 확인합니다.

### 이 계산 방법의 출처는 무엇인가요?

BIPM — The International System of Units (SI Brochure, 9th ed.), Table 7: SI prefixes; BIPM — CGPM 2022 Resolution 3: ronna, quetta, ronto, quecto.

## 출처

- [BIPM — The International System of Units (SI Brochure, 9th ed.), Table 7: SI prefixes](https://www.bipm.org/en/publications/si-brochure)
- [BIPM — CGPM 2022 Resolution 3: ronna, quetta, ronto, quecto](https://www.bipm.org/en/cgpm-2022/resolution-3)