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Engineering Notation Converter

Enter a number to express it in engineering notation with an SI prefix.

How it is calculated

The tool finds the power of ten of the number, e = floor(log10|x|), then rounds it down to a multiple of three: n = 3 · floor(e / 3). The mantissa is m = x / 10n, so |m| lies from 1 up to 999.9999, and the result reads m × 10n. The mantissa is printed with four decimals. If rounding would show 1000.0000 (for example 999.99996), the tool moves up one prefix and shows 1.0000 instead. The SI prefix comes from n: from 10−24 (y, yocto) to 1024 (Y, yotta). Outside that range no prefix exists, and the line shows only ×10n. Zero is shown as 0 × 10^0, and negative numbers keep their sign on the mantissa. Text that is not a number gives no result.

Worked example

Convert 0.0000047, a capacitor of 4.7 microfarads written as a plain number. The power of ten is e = floor(log10 0.0000047) = floor(−5.33) = −6. That is already a multiple of three, so n = −6. The mantissa is 0.0000047 / 10−6 = 4.7, shown as 4.7000. The tool gives 4.7000 × 10^-6, and with the SI prefix for 10−6 (micro, µ) that reads 4.7000 µ. For comparison, 47000 gives 47.0000 × 10^3, or 47.0000 k.

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Common mistakes

  • Expecting a mantissa between 1 and 10 as in scientific notation. Here the mantissa runs from 1 to 999.9999, so 47000 appears as 47 × 103, not 4.7 × 104, and 0.5 appears as 500 × 10−3.
  • Reading 4.7 µ as 4.7 of the unit you started with. The prefix shows the scale: 4.7000 µ means 4.7 × 10−6 of the base unit, and the base unit itself (F, Ω, A) is not part of the input.
  • Confusing the micro sign µ with m (milli). They differ by a factor of 1000, which is exactly one step of the exponent.
  • Expecting a prefix for every size. Beyond 1024 or below 10−24 only the ×10n form is given, and the common centi, deci and deca prefixes are not used because their exponents are not multiples of three.
  • Treating the four decimals as significant figures. 47000 shows 47.0000 because the display pads zeros; it does not mean the input was measured to five digits.

About this calculator

Engineering notation writes a number as a value between 1 and 1000 times 10 raised to a power that is always a multiple of three (…10⁻⁶, 10⁻³, 10⁰, 10³, 10⁶, 10⁹…) — unlike scientific notation, where the exponent can be any integer. Restricting exponents to multiples of three means every value lines up directly with an SI prefix: 10³ = kilo, 10⁶ = mega, 10⁻³ = milli, 10⁻⁶ = micro, and so on.

Electrical and electronics engineers rely on this format constantly because component values and instrument readouts are labeled in those same SI-prefixed units — a resistor marked "4.7 kΩ" or a capacitor marked "100 nF" is engineering notation in action — and students and technicians use this converter to translate a raw calculator result into the prefix form that matches a datasheet or multimeter display.

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  • Editorial team

    A handy use of the result is as a prefix check on a calculation done in base units. If a filter works out to 0.00033 farads, the tool gives 330.0000 µ, so you can label the part 330 µF without counting zeros. Keep in mind that the prefix carries only the scale; you attach the unit yourself. Beyond yotta or yocto you get just the ×10^n form. Which quantity do you convert most often: capacitance, resistance or frequency?

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