Visual acuity converter: Snellen, decimal and logMAR

Type a visual acuity in any notation, such as 20/40, 6/12, 0.5 or a logMAR value, and see the same line in all the others, plus the ICD-11 distance vision category it falls into. The converter is for reading and comparing results; it does not test your eyes.

A fraction such as 20/40 or 6/7.5 works in any mode; a single number is read as chosen above.
Snellen (feet)20/40
Snellen (metres)6/12
Decimal
0.5
logMAR
0.30
MAR (minutes of arc)
2′
ICD-11 distance vision category
No impairment (6/12 or better)

Runs in your browser: nothing you enter is sent anywhere.

How to use it

  1. Type the acuity. A fraction such as 20/40, 6/12 or 10/20 is understood in any mode.
  2. For a single number, choose what it means: the denominator over 20 ft, the denominator over 6 m, a decimal acuity or a logMAR value.
  3. Read the line in every notation and its ICD-11 category.

How it works

All notations describe the same thing, the smallest letter detail you can see:

  • Decimal = test distance ÷ letter distance, so 20/40 = 6/12 = 0.5
  • MAR = 1 ÷ decimal (minutes of arc), 2′ for 20/40
  • logMAR = log10(MAR), 0.30 for 20/40
  • Snellen in feet = 20/(20 × MAR), in metres = 6/(6 × MAR)
Feet Metres Decimal logMAR
20/20 6/6 1.0 0.00
20/25 6/7.5 0.8 0.10
20/40 6/12 0.5 0.30
20/60 6/18 0.33 0.48
20/200 6/60 0.1 1.00

Worked example

Type 0.8 and choose decimal acuity: MAR = 1 ÷ 0.8 = 1.25, logMAR = log10(1.25) = 0.10, in feet 20 × 1.25 = 20/25 and in metres 6 × 1.25 = 6/7.5. That is no impairment.

Tips

  • Denominators are rounded: below 10 to one decimal (6/7.5), above that to whole numbers, so a logMAR of 0.3 shows as 20/40 although the exact value is 39.9.
  • Charts in different countries use slightly different line steps; the conversion is exact, the printed lines may not be.
  • Glasses or contact lenses matter: note whether the acuity was measured with or without them.
  • The converter only changes notation; an eye test needs an optometrist or ophthalmologist.

Frequently asked questions

What does 20/40 vision mean?

At 20 feet you read the line that a person with standard vision can read at 40 feet. It equals 6/12 in metres, a decimal acuity of 0.5 and logMAR 0.30.

How do I convert Snellen to logMAR?

Divide the denominator by the numerator to get the MAR, then take its base-10 logarithm. 20/40: 40 ÷ 20 = 2, log10(2) = 0.30. 20/20 is logMAR 0.00, and 20/200 is logMAR 1.00.

Can logMAR be negative?

Yes. Vision better than 20/20 has a negative logMAR: 20/16 is about −0.10 and 20/12.5 about −0.20. Lower logMAR means better vision.

What do the ICD-11 categories mean?

They classify presenting distance vision in the better eye: 6/12 or better is no impairment, worse than 6/12 to 6/18 mild, worse than 6/18 to 6/60 moderate, worse than 6/60 to 3/60 severe, and worse than 3/60 blindness. A single eye's result does not classify a person on its own.

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