Formula
Milliohms = Gigaohms × 1000000000000Direct answer
Multiply the entered gigaohms value by 1000000000000 to express it in milliohms (mΩ). This converts gigaohm (GΩ) to milliohm (mΩ) within the documented electrical resistance family.
Variables and formula
- Gigaohms (GΩ): the source value measured in gigaohm.
- Milliohms (mΩ): the same quantity expressed in milliohm.
- Conversion factor: 1000000000000 milliohms per gigaohm.
Milliohms = Gigaohms × 1000000000000
The generator emits numeric factors with at most 15 significant digits. Calculator results keep up to 10 significant digits for display; this formatting does not increase the precision of the measurement.
Unit definitions and named variants
Source unit: gigaohm (GΩ). A gigaohm is the SI decimal multiple formed by applying giga (10^9) to ohm: 1 GΩ = 1000000000 Ω. Named variant used: Scalar electrical resistance. Reference: Bureau International des Poids et Mesures: The International System of Units (SI), 9th edition, version 4.01.
Target unit: milliohm (mΩ). A milliohm is the SI decimal submultiple formed by applying milli (10^-3) to ohm: 1 mΩ = 0.001 Ω. Named variant used: Scalar electrical resistance. Reference: Bureau International des Poids et Mesures: The International System of Units (SI), 9th edition, version 4.01.
The GΩ-to-mΩ direction remains inside the electrical resistance quantity; it changes the unit label and numerical scale, not the kind of quantity being measured.
Relationship and precision
The named unit relationships are defined or exact, so the conversion is exact before display rounding and source-measurement uncertainty.
- GΩ relationship: The decimal-prefix relationship is exact.
- mΩ relationship: The decimal-prefix relationship is exact.
To audit the factor through the family base unit, divide the raw dataset factors 1000000000 by 0.001. The generator emits that quotient once at 15 significant digits as the canonical direct factor 1000000000000; runtime calculations do not divide the already-emitted base factors again.
Reproducible example
For 10 gigaohms, 10 × 1000000000000 = 10000000000000 milliohms. Repeating the same multiplication with the stated factor reproduces the displayed conversion before interface rounding.
Directional scale check
Because one gigaohm contains 1000000000000 milliohms, the target number is larger than the source number for every positive input. Zero maps to zero, while negative inputs are rejected because this family models non-negative magnitudes.
| Source amount | Calculation | Target amount |
|---|---|---|
| 1 GΩ | 1 × 1000000000000 |
1000000000000 mΩ |
| 10 GΩ | 10 × 1000000000000 |
10000000000000 mΩ |
| 100 GΩ | 100 × 1000000000000 |
100000000000000 mΩ |
| 1000 GΩ | 1000 × 1000000000000 |
1000000000000000 mΩ |
Interpretation
Read the result as milliohms, not gigaohms. A value entered as GΩ leaves the calculator labelled mΩ; this directional distinction matters even when the two units describe the same electrical resistance quantity.
Assumptions and limitations
- Only non-negative resistance magnitudes are accepted by this family.
- A conversion does not add significant figures to the source measurement.
- This converter treats resistance as a non-negative scalar magnitude; signed differential resistance and active-device model parameters are outside scope.
Common mistakes
- High resistance does not by itself specify insulation performance under a particular voltage or environment.
- mΩ means milliohm; MΩ means megaohm.
Continue within the Electrical Resistance family
See the Electrical Resistance conversion hub for its five-unit reference table and all 20 directed routes.
- Reverse the direction: Milliohms to Gigaohms
- Compare another electrical resistance route: Gigaohms to Ohms
- Compare another electrical resistance route: Gigaohms to Kiloohms
- Compare another electrical resistance route: Gigaohms to Megaohms
- Compare another electrical resistance route: Milliohms to Ohms
Assumptions
- The entered value uses gigaohms exactly as labelled.
- Only non-negative resistance magnitudes are accepted by this family.
- Rounding and measurement uncertainty remain the user's responsibility.
Sources and methodology
CalcMotive publishes the formula and assumptions so you can decide whether the estimate fits your use case. See our methodology standards.
- The International System of Units (SI), 9th edition, version 4.01; Bureau International des Poids et Mesures; accessed Aug 7, 2026