Exposure Value EV Calculator
Calculate exposure value from aperture, shutter speed, and ISO. Find equivalent exposures and scene luminance.
Exposure Value EV Calculator
Calculator
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Formula: EV = log2(N^2 / t) where N = f-number, t = shutter speed in seconds
Worked example โ EV = 13.97 at ISO 100, typical of a hazy bright day.
Formula
EV = log2(N^2 / t) where N = f-number, t = shutter speed in seconds
EV is the base-2 logarithm of the ratio of the aperture squared to the shutter speed. Each integer EV step represents a doubling or halving of light. ISO adjustments add log2(ISO/100) to the base EV100 value.
Worked Examples
Example 1: Sunny Day Outdoor Exposure
Problem:Calculate the EV for a sunny day shot at f/8, 1/250s, ISO 100.
Solution:EV100 = log2(f^2 / t) EV100 = log2(8^2 / (1/250)) EV100 = log2(64 * 250) EV100 = log2(16000) EV100 = 13.97 Approx illuminance = 2.5 * 2^13.97 = 2.5 * 16,000 = 40,000 lux
Result:EV = 13.97 at ISO 100, typical of a hazy bright day.
Example 2: Indoor Portrait with Available Light
Problem:A portrait is shot at f/2.8, 1/60s, ISO 800. What is the EV100?
Solution:EV100 = log2(2.8^2 / (1/60)) EV100 = log2(7.84 * 60) EV100 = log2(470.4) EV100 = 8.88 EV at ISO 800 = 8.88 + log2(800/100) = 8.88 + 3 = 11.88 Scene luminance L = 2^EV100 * K / 100 with K = 12.5: 470.4 * 12.5 / 100 = 58.8 cd/m2
Result:EV100 = 8.88 (bright indoors), EV at ISO 800 = 11.88.
Frequently Asked Questions
What is Exposure Value (EV) in photography?
Exposure Value is a number that represents a combination of camera aperture and shutter speed settings that produce the same overall exposure. An EV of 0 corresponds to an aperture of f/1.0 with a 1-second shutter speed at ISO 100. Each increment of 1 EV represents a doubling or halving of the light captured. EV 15 corresponds to bright direct sunlight while EV 5 might represent typical indoor lighting. Photographers use EV to quickly communicate lighting conditions and to determine equivalent exposure settings. The concept was introduced in the 1950s by the German shutter manufacturer Friedrich Deckel to simplify exposure calculations when light meters gave readings in EV units.
How does ISO affect the Exposure Value calculation?
In the standard EV formula, EV is calculated at ISO 100 as the base sensitivity. When you change the ISO, you effectively shift the required EV. Doubling the ISO (e.g., from 100 to 200) adds 1 to the EV, meaning you need one stop less light from the aperture and shutter combination. The ISO-adjusted formula is EV = EV100 + log2(ISO/100). For practical shooting, a higher ISO lets you use faster shutter speeds or smaller apertures in the same lighting. However, higher ISO values introduce more digital noise or film grain, so photographers balance ISO adjustments against image quality. Modern cameras handle high ISO remarkably well, with usable results often up to ISO 6400 or beyond.
What are equivalent exposures and why do they matter?
Equivalent exposures are different combinations of aperture and shutter speed that result in the same overall exposure value. For example, f/4 at 1/500s gives the same total light as f/5.6 at 1/250s or f/8 at 1/125s. Each time you close the aperture by one stop (higher f-number), you must double the shutter speed duration to compensate. This reciprocity is fundamental to creative photography because aperture controls depth of field (how much of the scene is in focus) while shutter speed controls motion blur. A landscape photographer might choose f/16 at a slow shutter for maximum sharpness front to back, while a sports photographer might choose f/2.8 at a fast shutter to freeze action.
What is the relationship between EV and scene luminance?
Exposure Value directly correlates to scene luminance measured in candelas per square meter. The approximate relationship is Luminance = 2^EV multiplied by 2.5 divided by pi. At EV 0, luminance is approximately 0.8 cd/m2, which is very dim. At EV 15, luminance is roughly 26,000 cd/m2, typical of a brightly sunlit scene. Light meters measure either incident light (illuminance in lux) or reflected light (luminance in cd/m2) and convert these measurements to EV for the photographer. The illuminance in lux approximates to 2.5 times 2 raised to the EV power. Understanding this relationship is valuable when working with artificial lighting setups or when you need to match exposure across multiple scenes with different lighting conditions.
What is the Sunny 16 rule and how does it relate to EV 15?
The rule says that on a clear sunny day you can set the aperture to f/16 and the shutter to approximately one over the ISO. At ISO 100 that means f/16 at 1/125, and the formula gives log2(256 times 125), which is log2(32000), about 14.97 or effectively EV 15. It works because direct midday sunlight is remarkably consistent, and it gives a meterless sanity check: open one stop for hazy sun, two for overcast, and three for open shade.
Why is the aperture term squared in the EV formula?
Because light collection scales with the area of the entrance pupil, not its diameter. The f-number is focal length divided by that diameter, so halving the f-number quadruples the area and admits four times the light. Squaring the f-number in N squared over t restores a linear relationship with exposure before the logarithm is taken. It is also why the standard f-stop series steps by the square root of two, roughly 1.4, 2, 2.8, 4 and so on, with each step exactly halving the area.
What is the difference between incident and reflected light metering?
A reflected meter, including the one in the camera, measures the luminance coming off the subject and converts it with EV equal to log2 of luminance times ISO divided by a calibration constant K, typically 12.5 or 14 depending on manufacturer. An incident meter uses a diffusing dome to measure the light falling on the subject, with its own constant C. Reflected readings assume an average scene reflectance near 18 percent and are fooled by snow or a black backdrop; incident readings are immune to subject tone.
How does exposure compensation on a camera relate to EV?
Exposure compensation is expressed in the same stops as EV, but it moves the exposure, not the scene. Dialling plus one EV instructs the camera to admit twice as much light as its meter suggested, by opening the aperture, lengthening the shutter or raising ISO depending on the mode. You use it when the subject tone departs from the mid-grey the meter assumes: plus one to two for a snowfield so it renders white, minus one or so for a dark subject filling the frame.
What does a camera stated metering range in EV mean?
Manufacturers publish the span of scene brightness over which the meter can produce a valid reading, quoted at a reference of ISO 100 with a fast lens, for example a lower limit near or below EV 0 for night work and an upper limit in the high teens. Below the lower bound the meter cannot lock and you must estimate or bracket; above the upper bound it may clip. The figures shift with ISO and with the maximum aperture of the mounted lens, so compare specifications at the same reference conditions.
How do neutral density filters shift the exposure value you work with?
An ND filter cuts the light reaching the sensor by a fixed number of stops, so it lowers the effective scene EV by that amount and lets you keep a wide aperture or a long shutter in bright light. Filters are labelled either by optical density or by a multiplier: a density of 0.3 is one stop, 0.9 is three stops, and 3.0 is about ten stops, since stops equal density divided by 0.301. Meter without the filter, then subtract its stop rating from the EV to find your working settings.
References
Background & Theory
History
Reviewed for accuracy by Daniel Agrici, Founder & Lead Developer ยท Editorial policy
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