Screen Resolution Converter
Calculate pixels per inch (PPI) from screen diagonal and resolution.
Compare monitors, phones, and tablets to see how Retina and 4K displays differ.
Enter your screen resolution and size to calculate pixel density.
PPI (Pixels Per Inch) measures how sharp a screen appears. Higher PPI means more detail and smoother text.
Formula: PPI = √(width_px² + height_px²) ÷ diagonal_inches
The diagonal in pixels is calculated using the Pythagorean theorem. Then divided by the physical screen diagonal in inches.
DPCM (Dots Per Centimeter):
- DPCM = PPI ÷ 2.54
Common device PPI values:
| Device | Resolution | Size | PPI |
|---|---|---|---|
| 24" Monitor | 1920×1080 | 24" | 92 |
| 27" 4K Monitor | 3840×2160 | 27" | 163 |
| MacBook Pro 14" | 3024×1964 | 14.2" | 254 |
| iPhone 15 | 2556×1179 | 6.1" | 460 |
| iPad Pro 12.9" | 2732×2048 | 12.9" | 264 |
Sharpness guidelines:
- Under 100 PPI: visible pixels at arm’s length
- 100–150 PPI: standard desktop monitors
- 150–250 PPI: “Retina” quality at normal viewing distance
- Over 300 PPI: print-quality sharpness (smartphones)
The fact to internalize is that 4K has four times the pixels of 1080p, not two. The names refer roughly to the horizontal pixel count, but doubling both width and height quadruples the total, which is why 4K is 8.3 megapixels against 1080p’s 2.1. That squaring is also why each step up demands so much more from a graphics card, and more bandwidth to stream.
Resolution alone doesn’t equal sharpness, though. What the eye perceives is pixel density (PPI), which depends on the resolution and the screen size together: a 4K phone looks razor-sharp while a 4K 85-inch TV spreads the same pixels over far more area, so it looks less sharp up close. The marketing labels are loose as well, with “2K” and “4K” used a bit inconsistently, so the actual width-by-height figure is the number to trust over the nickname.
How we build and check this converter
This converter runs entirely in your browser, so the numbers you enter stay on your device. The math behind it is written by hand and tested against worked examples and standard references before the page goes live.
SuperGlobalCalculator is independently built and maintained. See how we build and verify our calculators.