223984 Views

Die Per Wafer (free) Calculator - trusted by GF and Amkor

Illustration of a 12-inch semiconductor wafer showing a grid layout of 505 dies per wafer (DPW), with a color gradient from red at the top to blue at the bottom. The image is branded with the AnySilicon logo at the bottom.
mm
mm
inch
µm
µm
mm
sqmm

What is a die per wafer calculator?

A die per wafer calculator is a tool used by chip designers and fabs to estimate how many individual dies (aka chips) can be cut from a single semiconductor wafer.

It’s like trying to fit as many square stickers as possible on a round sheet—sounds simple, but in the chip world, it’s a game of millimeters that affects cost, yield, and scalability.

If you’re building a custom ASIC or evaluating the economics of a silicon run, calculating the number of dies per wafer accurately is a must.

Calculating the number of Dies Per Wafer (DPW) is a very simple and straight forward task. It’s actually based on basic high school mathematics which are related to circle area formula, remember Pi?

 

Silicon dies which are placed on a wafer can also be described as many squares placed inside a circle — thus the calculation is about first finding the overall circle area using both the mathematical number Pi (approximately equal to 3.14159) and the wafer size.

The wafer size and the die size are known in advance, however, as our “squares” have spaces between them (e.g. scribe lines) and the area located at the edge of the wafer cannot be used, the calculation is a bit tricky, therefore, some recommend using the Die Per Wafer tools results as an estimation rather than a calculation.

 

Die Per Wafer Calculator
Silicon wafer with grid of dies showing diagonal labeled “d” for diameter, and text asking “DPW?” representing dies per wafer calculation.

Visual representation of a silicon wafer highlighting the wafer diameter (d) used to calculate dies per wafer (DPW).

In addition to the above unused area, the foundry will use additional area for testing purposes (PCM structures) that will eat up relatively small size of the wafer. Sawing lanes, wafer margin and test structures size vary from process node to process node and from foundry to foundry. Therefore, is it highly recommended to have the final DPW figure directly from the foundry because they have all the knowledge and information required to provide the actual figure.

Why it matters in ASIC and chip design

Every square millimeter of wafer area counts. Here’s why:

  • Cost per chip depends on how many dies fit on a wafer
  • Yield prediction needs gross and net die counts
  • Tapeout planning often starts with this simple calculation

Big players like GlobalFoundries (GF) and Amkor rely on precise estimations using these calculators to plan production efficiently. So do smaller ASIC design companies and service providers.

Manual calculation vs using a calculator

Our free Die Per Wafer calculator is very simple and based on the following equation:

die per wafer formula
Mathematical formula for calculating dies per wafer, showing wafer diameter (d), die size (S), and π in a correction-adjusted equation.

Refined die per wafer formula accounting for wafer diameter (d), die size (S), and edge losses—commonly used for more accurate DPW estimation in semiconductor manufacturing.

d – wafer diameter [mm] (click her for wafer size information)

S – die size [square mm]

For your convenient, we have placed the Die Per Wafer calculator as an online Excel sheet so you can use it online or download it into your ASIC price calculator.

Die per wafer calculator Excel: Download or build?

Many engineers search for a die per wafer calculator Excel template. And while you can build one using basic geometry, it takes effort to include corrections for edge losses.

Instead, you can:

  • Use the Die per wafer calculator Excel (no need to install anything)
  • Or, if you’re working offline, adapt the online tool into your own Excel sheet

Some fabs also offer proprietary Excel tools, but these are often closed-source.

What’s the difference between gross die and net die?

Think of gross die as all the chips that could fit, while net die is the realistic number after subtracting edge loss and defects.

  • Gross die per wafer: the theoretical maximum
  • Net die per wafer: what you actually get after cutting and testing

Calculators help estimate both, but you’ll still need a die yield calculator to account for defect density and test failures.

How does the die per wafer calculator work?

Here’s how a standard tool like the one on AnySilicon works:

  1. Enter wafer diameter (in mm)
  2. Enter die size (length × width in mm)
  3. Click “Calculate”
  4. Get instant results: gross dies, and estimated wafer utilization

It’s fast, browser-based, and doesn’t require downloads.

Real-world example: Puzzle pieces on a plate

Imagine placing tiny square tiles (dies) on a big round dinner plate (wafer).

  • If your tiles are too big, you’ll waste space around the edges.
  • If your tiles are small, you’ll fit more—but cutting them gets trickier.

That’s basically what fabs deal with—trying to pack as many functional dies as possible onto every wafer to maximize return.

Include scribe lines? Yes, if you’re smart

Scribe lines are the tiny spaces between dies that allow for cutting. Ignoring them in your calculation can overestimate your die count by 5–10%.

Look for a die per wafer with scribe line calculator if your application needs that level of accuracy.

Who uses this calculator?

  • ASIC project managers during cost estimation
  • Procurement teams comparing foundry quotes
  • ASIC manufacturers modeling production yields
  • IP vendors and ASIC design services preparing customer pitches

Whether you’re doing early-stage feasibility or planning your first tapeout, die estimation is a critical input.

What about 2-inch wafers? Or 450mm?

Our calculator supports all wafer sizes—just enter the diameter. Whether you’re calculating for a legacy 2-inch wafer or a modern 300mm or 450mm one, the logic holds.

Smaller wafers are still common in MEMS and analog applications, while advanced nodes typically use 300mm+.

The formula behind die per wafer calculators

Let’s unpack the math just a bit more. You already saw the basic formula:

 
Gross Dies = (π × (Wafer Diameter / 2)²) ÷ Die Area

But to get a more realistic estimate, especially near the wafer edges, we use an improved version:

 
Gross Dies = (Wafer Area ÷ Die Area) - (π × Wafer Diameter) ÷ (2 × Die Size)

This formula subtracts unusable dies near the edge (since you can’t cut perfect squares from a round edge without loss). Some calculators also add scribe line spacing into the equation.

The hidden factor: Yield loss

Once you know your gross die count, you still need to consider die yield. Even if you could fit 700 dies on a wafer, not all of them will work due to:

  • Particle contamination
  • Defects in lithography
  • Variations in etching or doping
  • Packaging stress

This is where a die yield calculator comes in. The most common yield model is Murphy’s yield model:

 
Yield = 1 / (1 + (Defect Density × Die Area))^N

Where:

  • Defect Density = defects/cm²
  • N = a process complexity factor (usually 1 to 3)

So yeah, even a perfect calculator can’t predict the net usable dies without knowing your process conditions.

Real-world use cases: TSMC, GF, Amkor

Top foundries like TSMC and GlobalFoundries don’t just estimate—they simulate. Still, they start with basic die-per-wafer math before moving to process-specific adjustments.

For example:

  • Amkor uses die estimates to quote assembly pricing.
  • TSMC may share wafer maps showing die layout per node.
  • Customers use calculators to model unit cost vs. wafer price.

Even in high-volume production, this calculation remains a key cost driver.

Apps, Excel sheets, or online calculators?

Here’s a quick breakdown:

 

Tool Type Pros Cons
Online calculator (like ours) Fast, no setup, updated formulas Needs internet
Excel sheet
(like ours)
Portable, customizable May lack accuracy without edge corrections
Mobile app Great for quick checks Often limited in flexibility or precision
 

If you’re presenting to a team or client, go with Excel or a web calculator you can show live.

If you’re in the fab or lab, having a calculator app on your phone can be handy for a rough estimate.

How to calculate number of dies per wafer: step-by-step

Let’s run through a real-world example.

  • Wafer size: 300mm
  • Die size: 10mm x 10mm
  • Die area: 100mm²

Step 1:

Wafer area = π × (150)² = ~70,685 mm²

Step 2:

Gross dies = 70,685 / 100 = ~706

Step 3 (adjusted):

Subtract edge loss (~5–10%)

Adjusted dies ≈ 706 – (5% of 706) ≈ 670

So, you’ll get roughly 670 gross dies per 300mm wafer in this case.

Now plug the same values into our online calculator to confirm!

Why “estimated gross die per wafer” isn’t the full picture

Many engineers stop at the gross die count. But remember:

  • Gross ≠ Net: You’ll lose dies to defects, test fails, and scribe line damage.
  • Yield impacts price: A 10% drop in yield can make or break project ROI.
  • Packaging adds another layer: Some dies may crack or fail in bonding.

Always combine the calculator with realistic yield expectations—especially during NPI (New Product Introduction).

Where this fits into your ASIC design flow

You should be using the die per wafer calculator during:

  • Feasibility studies: Can we afford this chip?
  • Design sizing: Can we shrink die area to fit more?
  • Vendor comparison: Which ASIC manufacturers give better yield?
  • Quote generation: Helping ASIC design services bid more competitively

It’s not just a math tool—it’s a strategic planning weapon.

Bonus: Formula to calculate die per wafer (for Excel)

Want to DIY an Excel calculator? Use this formula:

 
=PI()*(Wafer_Diameter/2)^2/Die_Area

For better results, subtract about 10% to account for edge loss and partial dies. Or, download templates from fab-specific forums (some even share ones for die per wafer calculator 1.00 versions—ideal for older toolsets).

Can you calculate die per wafer for small wafers (like 2 inch)?

Yes, and it’s still useful. Many analog or MEMS designers still use 2-inch wafers. Use the same process:

  • Wafer diameter = 50.8 mm
  • Plug into the calculator
  • You’ll likely only get 10–100 dies per wafer

Small wafers = small volume = high per-unit cost. But in some cases, that’s fine.

Summary: Choose the right tool for the job

The die per wafer calculator is more than just a number cruncher.

It helps:

  • Predict chip cost
  • Maximize wafer utilization
  • Optimize die layout
  • Reduce surprises during manufacturing

Whether you’re working with TSMC, Amkor, or a smaller ASIC design company, this tool keeps your numbers honest.

Try the calculator now

Want to skip the formulas and math?

Head over to the free die per wafer calculator and get started.

Just enter:

  • Wafer diameter
  • Die size

…and the tool does the rest.

 

Logo Image
Privacy Overview

This website uses cookies so that we can provide you with the best user experience possible. Cookie information is stored in your browser and performs functions such as recognising you when you return to our website and helping our team to understand which sections of the website you find most interesting and useful.