Engineering Notation Calculator
Convert any number to engineering notation — the variant of scientific notation that always uses exponents that are multiples of 3 (10³, 10⁶, 10⁻³…), which align one-to-one with SI prefixes: kilo (k), mega (M), giga (G), milli (m), micro (μ), nano (n).
Take log₁₀ of |number|
Floor to nearest multiple of 3 → exponent
Divide by 10^exponent → mantissa
Result in engineering notation
How does this calculator work?
Engineering notation writes N = mantissa × 10^(3n) with the exponent always a multiple of 3, aligning with SI prefixes. 47,000 = 47 × 10³ = 47 k; 0.0082 = 8.2 × 10⁻³ = 8.2 m. The calculator takes the log₁₀, floors to the nearest multiple of 3 for the exponent, divides to get the mantissa, and shows the matching SI prefix.
Formula
How this is calculated
Engineering notation is a restricted form of scientific notation where the exponent is always a multiple of 3. Because the SI prefix system advances in factors of 1000, this one-to-one mapping means every "× 10^(3n)" can be replaced by a single prefix letter: 10³ = kilo (k), 10⁶ = mega (M), 10⁹ = giga (G), 10⁻³ = milli (m), 10⁻⁶ = micro (μ), 10⁻⁹ = nano (n), and so on. The mantissa therefore ranges from 1 to 999 rather than 1 to 9.999 as in standard scientific notation.
To convert: take the base-10 logarithm of the absolute value, round it DOWN (floor) to the nearest multiple of 3 — that is the exponent — then divide the original number by 10 raised to that power to get the mantissa. For example, 47,000 → log₁₀ = 4.672 → floor to multiple of 3 → 3 → mantissa = 47,000 ÷ 10³ = 47, giving 47 × 10³ (written 47 k).
Engineering notation is ubiquitous in electrical engineering, RF design, and electronics datasheets. Resistor values (4.7 kΩ), capacitor values (100 μF), signal frequencies (2.4 GHz), and data rates (100 Mbps) are all engineering-notation expressions. The step-by-step panel shows every calculation for each conversion.
Frequently asked questions
Scientific notation keeps the mantissa between 1 and 9.999 (e.g. 4.7 × 10⁴). Engineering notation restricts the exponent to multiples of 3 so the mantissa can be 1–999 (e.g. 47 × 10³ = 47 k). Engineering notation aligns with SI prefixes, making component values on datasheets easier to read.
Positive: k (10³), M (10⁶), G (10⁹), T (10¹²), P (10¹⁵), E (10¹⁸), Z (10²¹), Y (10²⁴). Negative: m (10⁻³), μ (10⁻⁶), n (10⁻⁹), p (10⁻¹²), f (10⁻¹⁵), a (10⁻¹⁸). Exponent 0 = base unit, no prefix.
The SI prefix system progresses in factors of 1000 (10³). Any exponent that is a multiple of 3 maps exactly onto a named prefix, letting you write a compact unit symbol instead of "× 10ⁿ". Exponents such as 10⁴ or 10⁻² fall between prefixes and cannot be expressed this way.
Also known as
TG we-Calculate Editorial Team. (2026). Engineering Notation Calculator [Online calculator]. TG we-Calculate. https://we-calculate.com/calculator/engineering-notation-calculator
TG we-Calculate Editorial Team. "Engineering Notation Calculator." TG we-Calculate. 2026. https://we-calculate.com/calculator/engineering-notation-calculator.
TG we-Calculate Editorial Team, "Engineering Notation Calculator," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/calculator/engineering-notation-calculator
@misc{wecalculate_engineering_notation_calculator, title = {Engineering Notation Calculator}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/calculator/engineering-notation-calculator}}, year = {2026}, note = {TG we-Calculate} }
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