Revenue Rex logo mark
Math · Rex's Toolbox

Radioactive Half-Life Calculator

Remaining quantity after any elapsed time.

Revenue Rex peeking

Rex says

The fast lane for the math you almost remember from school. Type the numbers, get the answer, move on with your day.

Try a scenario

Click to load — tweak from there.

Inputs

Result

Remaining quantity

12.5000

Percent remaining

12.50

Amount decayed

87.5000

Half-lives elapsed

3.00

Revenue Rex peeking

Psst — share this and help Rex grow

One click, a permanent link with your numbers baked in.

More math

How to use this

  1. 1Enter starting quantity.
  2. 2Enter half-life (hours).
  3. 3Enter elapsed time (hours).
  4. 4Read your remaining quantity on the right — it updates as you type.
  5. 5Hit Share to keep the scenario or send it to someone.

About this calculator

Exponential decay: every half-life cuts the remaining amount in half. Works for isotopes, drug clearance, and anything with a fixed decay rate.

FormulaN = N₀ × (1/2)^(t ÷ t½)

Worked example

Using the values the calculator loads with:

Inputs

  • Starting quantity: 100
  • Half-life: 12 hours
  • Elapsed time: 36 hours

Results

  • Remaining quantity: 12.5
  • Percent remaining: 12.5
  • Amount decayed: 87.5
  • Half-lives elapsed: 3

What each field means

Inputs

Starting quantity
The starting quantity used in the calculation. Starts at 100 so you have a working example on load.
Half-life (hours)
The half-life used in the calculation, measured in hours. Starts at 12 hours so you have a working example on load.
Elapsed time (hours)
The elapsed time used in the calculation, measured in hours. Starts at 36 hours so you have a working example on load.

Results

Remaining quantity
Returned as a decimal number and shown as the headline result. It recalculates instantly whenever you change an input, so you can compare scenarios without reloading.
Percent remaining
Returned as a decimal number. It recalculates instantly whenever you change an input, so you can compare scenarios without reloading.
Amount decayed
Returned as a decimal number. It recalculates instantly whenever you change an input, so you can compare scenarios without reloading.
Half-lives elapsed
Returned as a decimal number. It recalculates instantly whenever you change an input, so you can compare scenarios without reloading.

FAQ

How does the radioactive half-life calculator work?

Exponential decay: every half-life cuts the remaining amount in half. Works for isotopes, drug clearance, and anything with a fixed decay rate. The underlying maths is: N = N₀ × (1/2)^(t ÷ t½)

What do I need to enter?

3 values: starting quantity, half-life, and elapsed time. Each field starts with a sensible default, so you can change one number at a time and watch the result move.

What does the remaining quantity result mean?

It is returned as a decimal number and updates live as you edit the inputs, so you can compare two or three versions of a scenario in a few seconds.

Is this calculator free, and do I need an account?

Yes, it's free, and no account is required. Nothing you type is stored on our servers — the maths runs entirely in your browser.

How accurate is the result?

It applies the standard formula exactly, so the arithmetic is precise. Results are rounded for display; the underlying calculation keeps full precision.

Who is this tool for?

It's built for students, developers, and anyone who needs the answer right now without setting up a spreadsheet.

Accuracy and limitations

  • Results are rounded for display; the underlying calculation keeps full precision.
  • Very large or very small inputs may hit floating-point limits in the browser.
  • Inputs outside the accepted range are clamped rather than rejected.

Cite this calculator

Writing about this topic? Grab a citation — every link helps keep these tools free.

APA
RevenueLab. (2026). Half-Life Calculator. Retrieved from https://www.revenuelab.fyi/toolbox/half-life
HTML
<p>Source: <a href="https://www.revenuelab.fyi/toolbox/half-life" target="_blank" rel="noopener">Half-Life Calculator — RevenueLab</a> (2026).</p>
Markdown
Source: [Half-Life Calculator — RevenueLab](https://www.revenuelab.fyi/toolbox/half-life) (2026).
Advertisement