Mass and volume units

The conversions that are pure definition. One milligram is a thousand micrograms everywhere and always, so these need nothing from anybody.

Educational arithmetic only. Not medical advice and not a dosing protocol.

Fill the fields in and the answer appears here.

What the bench will not tell you

This is educational arithmetic on figures entered by the reader. It is not medical advice, not a dosing protocol, and not a recommendation that anything be prepared, obtained or administered.

Nothing here states what quantity is appropriate for anyone, and there is no function in it that produces an amount to administer. A question about anyone’s health belongs with a licensed clinician who can examine the person asking.

Compounds of the kind this arithmetic is used on are largely research chemicals that are not approved by the FDA for human use. An exact calculation is not an accurate measurement: what is actually in a syringe depends on the preparation and the device, neither of which this page can see.

No qualified clinical reviewer is recorded against this site, and no credential is claimed anywhere on it. the limits of this bench.

The factors, as exact integer ratios. No figure in this table is rounded, because none of them needs to be.
From	To	Multiply by
1 g	mg	1,000
1 mg	mcg	1,000
1 mcg	ng	1,000
1 L	mL	1,000
1 mL	microlitres	1,000
1 mg	ng	1,000,000

Why a converter this simple gets its own page

Because the factor of a thousand between milligrams and micrograms is the error that actually happens. Vials are labelled in milligrams. Amounts are discussed in micrograms. Both numbers are plausible, both are small, and the wrong one looks exactly as reasonable as the right one on a screen.

Holding every quantity as an exact fraction of whole numbers and rounding once, at the point of display, means nothing drifts in the middle of a chain of conversions. Five milligrams in three millilitres is held as exactly five thirds of a milligram per millilitre, not as 1.6666666666666667.

A dimension mismatch is refused, not coerced

Micrograms into millilitres is not a conversion. There is no factor that turns an amount of substance into an amount of liquid without a strength to go through, and a tool that produced a number anyway would be inventing the strength. So that request comes back as a refusal with the reason, and the two tools that do have a strength to work with are volume for an amount and strength of a mixed vial.

Next to this on the bench

Molar amount
The conversion that needs a fact about the molecule.
International units
The conversion that needs a fact about the preparation.
The thousand-fold error
How it happens and what stops it.