Lens equivalence calculator

Full equivalence means matching framing, depth of field and total light. That takes changing the focal length, the aperture and the ISO together.

Equivalent focal length
50.00mm
≈ Rounded Lens equivalence
Equivalent aperture
3.600
Equivalent ISO
1600
Difference in stops of depth of field and light
2.000
Ratio of total light gathered
4.000
Full-frame equivalent focal length
50.00
Full-frame equivalent aperture
3.600
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  1. Focal length = 25
  2. Aperture = 1.8
  3. ISO = 400
  4. Crop factor of the source format = 2
  5. Crop factor of the target format = 1
  6. ratio = 1 > 0 ? 2 / 1 : 0 = 2
  7. Equivalent focal length = 25 * 2 = 50
  8. Equivalent aperture = 1.8 * 2 = 3.6
  9. Equivalent ISO = 400 * 2^2 = 1600
  10. Difference in stops of depth of field and light = 2 * log2(2) = 2
  11. Ratio of total light gathered = 2^2 = 4
  12. Full-frame equivalent focal length = 25 * 2 = 50
  13. Full-frame equivalent aperture = 1.8 * 2 = 3.6

Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.

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    The formula

    • equivalent focal length = focal length x crop ratio
    • equivalent aperture = f-number x crop ratio
    • equivalent ISO = ISO x crop ratio squared

    Equivalent aperture does not change the exposure. It describes depth of field and the total light on the sensor, which is what sets noise.

    A 25 mm f/1.8 on Micro Four Thirds frames and blurs like a 50 mm f/3.6 on full frame.

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