Authoritative definitions of the International System of Units and SI prefixes.
Dedicated unit pair
Dots per inch to Dots per centimetre
Convert dpi to dpcm instantly, then review the formula, assumptions, and rounding guidance.
Pixel densityInstant result
Decimals
Formula result = input × 1 ÷ 2.54. 1 dpi = 0.3937 dpcm
Common examples
One value, several units
Pixels per inch1 ppi
Pixels per centimetre0.3937 ppcm
Dots per centimetre0.3937 dpcm
Conversion table
| dpi | dpcm |
|---|---|
| 1 dpi | 0.3937 dpcm |
| 2 dpi | 0.7874 dpcm |
| 5 dpi | 1.9685 dpcm |
| 10 dpi | 3.937 dpcm |
| 25 dpi | 9.8425 dpcm |
| 50 dpi | 19.685 dpcm |
| 100 dpi | 39.3701 dpcm |
Conversion chart
1 dpi0.3937 dpcm
5 dpi1.9685 dpcm
10 dpi3.937 dpcm
25 dpi9.8425 dpcm
50 dpi19.685 dpcm
Worked example
96 ppi is approximately 37.795 pixels per centimetre.
Unit definition
Dots per inch (dpi) One dots per inch equals 1 pixel per inch.
Unit history
Dots per inch is represented here using its modern SI definition or an internationally accepted relationship to an SI base unit.
Step by step
1. Parse the value, including fractions.
2. Convert dpi to pixel per inch.
3. Convert the base value to dpcm and apply your display precision.
Understand the result before using it
Dots per inch to Dots per centimetre converts a value measured in Dots per inch (dpi) into the equivalent value in Dots per centimetre (dpcm). The numerical value changes because the size and definition of the selected unit changes; the underlying quantity does not.
Calculated result
The conversion follows the displayed unit relationship. Display rounding can hide additional digits, and measured inputs cannot become more accurate merely by changing units.
Formula, assumptions, and example
Formula
result = input × 1 ÷ 2.54
Assumptions
- Dots per inch and Dots per centimetre represent the same pixel density quantity.
- The input is expressed in dpi; the output is expressed in dpcm.
- The unit definitions and conventional relationship shown on this page apply.
Worked example
1 dpi = 0.393700787402 dpcm. For another value, apply the same relationship and round only to the precision your source measurement supports.
When to use it
Good uses
- Read a dpi measurement in a document that expects dpcm.
- Compare a dots per inch value with a value reported in dots per centimetre.
- Check the dpi-to-dpcm arithmetic before copying the result into another calculation.
Limitations
Common mistakes to avoid
- PPI describes pixels in an image or display; printer DPI can describe physical dots and is not always interchangeable.
- Round the output to a precision justified by the original measurement.
- Verify safety-critical, regulated, laboratory, and contractual conversions against the controlling standard.
Sources and further reading
These references explain the underlying standards or provide authoritative context. Your own contract, institution, clinician, product documentation, local code, or governing standard may be the controlling source.
Guidance on unit names, symbols, conversions, and numerical presentation.
Questions about this calculation
How do I convert Dots per inch to Dots per centimetre?
result = input × 1 ÷ 2.54 Using the displayed relationship, 1 dpi equals 0.393700787402 dpcm.
How many Dots per centimetre are in one Dots per inch?
One Dots per inch is 0.393700787402 Dots per centimetre. The displayed digits may be rounded.
Can I reverse the dpi to dpcm conversion?
Yes. Swap the source and target units in the converter. The reverse relationship converts dpcm back to dpi.
Is the Dots per inch to Dots per centimetre result exact?
The conversion follows the displayed unit relationship. Display rounding can hide additional digits, and measured inputs cannot become more accurate merely by changing units.