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Leon van Bokhorst

Easy Engineering Notation and Metric Prefixes

August 22, 2017

Once you start to read datasheets and schematics, you run into scientific notation and metric prefixes of values. Engineers use their own flavor of scientific notation, called engineering notation. It’s based on the metric system and easy to use.

If you deal with very large or small numbers, you quickly run into notational obstacles. For instance, numbers can be much too large or small to write down. Furthermore, they can be hard to read that way. Finally, it can be very easy to make a mistake using fully written out numbers.

So scientists came up with a generic way to express numbers. Scientific notation uses the following rule set:

  1. Move the decimal after the first digit. Remember the number of moved places.
  2. Drop the zeros. This leaves us with a coefficient greater than 0 and smaller than 10.
  3. Write down the exponent with the number of moved places.

If we take a large number as an example:

Scientific notation with large numbers

With decimal numbers, we get a negative exponent. The concept remains the same though:

Scientific notation with decimal numbers

How does engineering notation differ?

While scientific notation is easy to grasp engineers use it a little bit different. First of all, they based engineering notation on the metric system, especially using metric prefixes like kilo, micro, or nano.

As a result, the exponent of 10 must be divisible by the number three. So we get exponents to the power of 3, 6, 9, -3 etc. Consequently, we end up with a coefficient larger than 0 and smaller than 1000.

In the table below we put it all together. Here you find the metric prefixes from the International System of Units (SI) widely used in electronics.

Engineering notation table

Because of the division by three, we now can easily translate between metric values. For instance, both notations below express the same value of a resistor:

Example engineering notation

Filed Under: Electronics Theory Tagged With: Electronics, Notation, Theory

Leon van Bokhorst

About Leon van Bokhorst

I'm a curious Electronics and DIY synth apprentice. As I'm learning this stuff, I jot down my thought and findings on this blog. Besides hacking electronics, I love to create and perform experimental soundscapes using my modular synth setup and DIY noise-boxes. I'm also heavily involved organizing themed modular synth events at Modulab Eindhoven.

Let's keep in touch. You can find me on Twitter, Facebook, and Instagram.

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