Formula
Gigaohms = Milliohms × 1e-12Direct answer
Multiply the entered milliohms value by 1e-12 to express it in gigaohms (GΩ). This converts milliohm (mΩ) to gigaohm (GΩ) within the documented electrical resistance family.
Variables and formula
- Milliohms (mΩ): the source value measured in milliohm.
- Gigaohms (GΩ): the same quantity expressed in gigaohm.
- Conversion factor: 1e-12 gigaohms per milliohm.
Gigaohms = Milliohms × 1e-12
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: 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.
Target 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.
The mΩ-to-GΩ 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.
- mΩ relationship: The decimal-prefix relationship is exact.
- GΩ relationship: The decimal-prefix relationship is exact.
To audit the factor through the family base unit, divide the raw dataset factors 0.001 by 1000000000. The generator emits that quotient once at 15 significant digits as the canonical direct factor 1e-12; runtime calculations do not divide the already-emitted base factors again.
Reproducible example
For 10 milliohms, 10 × 1e-12 = 1e-11 gigaohms. Repeating the same multiplication with the stated factor reproduces the displayed conversion before interface rounding.
Directional scale check
Because one milliohm contains 1e-12 gigaohms, the target number is smaller 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 mΩ | 1 × 1e-12 |
1e-12 GΩ |
| 10 mΩ | 10 × 1e-12 |
1e-11 GΩ |
| 100 mΩ | 100 × 1e-12 |
1e-10 GΩ |
| 1000 mΩ | 1000 × 1e-12 |
1e-9 GΩ |
Interpretation
Read the result as gigaohms, not milliohms. A value entered as mΩ leaves the calculator labelled GΩ; 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
- ASCII mohm is ambiguous and retained only as an alias.
- The symbol is GΩ with uppercase G and Greek omega.
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: Gigaohms to Milliohms
- Compare another electrical resistance route: Milliohms to Ohms
- Compare another electrical resistance route: Milliohms to Kiloohms
- Compare another electrical resistance route: Milliohms to Megaohms
- Compare another electrical resistance route: Gigaohms to Ohms
Assumptions
- The entered value uses milliohms 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