How is XYZ converted back to sRGB?

The X, Y, Z values are divided by 100, multiplied by the inverse sRGB-to-XYZ matrix to get linear RGB, then each channel is gamma-encoded with the sRGB transfer function and scaled to 0 to 255. This is the exact reverse of the forward transform.

What does out of gamut mean?

The sRGB gamut covers only a triangle of all visible colors. Some valid XYZ values map to negative or greater-than-one linear RGB, meaning no sRGB display can show them. This tool clamps such channels to the 0 to 255 range and warns you.

What white point does this use?

It uses D65, the daylight white point with a color temperature near 6500K that sRGB is defined against. The inverse matrix is the D65 sRGB matrix, so your XYZ values should also be relative to a D65 reference white for accurate results.

What scale should my XYZ values be on?

This tool expects the reference white to have Y equal to 100, matching the common Lab convention. If your XYZ values are on a 0 to 1 scale, multiply each by 100 before entering them, or your output will be far too dark.

Why does pure XYZ white not give pure RGB white?

It does, when you use the D65 white values X equals 95.05, Y equals 100, Z equals 108.88. If you enter equal X, Y, Z values you get a slightly tinted near-white because those are not the D65 white point coordinates.

What is the CIE XYZ to RGB Color Converter?

Convert CIE XYZ tristimulus values under the D65 illuminant back to sRGB and hex, with a gamut warning when the result falls outside the sRGB triangle. The inverse of the RGB-to-XYZ transform. Runs in your browser. It runs free in your browser on Gera Tools, with nothing uploaded.

CIE XYZ to RGB Color Converter

Name: CIE XYZ to RGB Color Converter
Creator: Gera Tools
License: https://creativecommons.org/licenses/by/4.0/

Convert CIE XYZ back to sRGB

This is the inverse of the RGB-to-XYZ transform: it takes device-independent CIE XYZ tristimulus values and turns them back into displayable sRGB and hex. It is the final step when you have worked in a perceptual space such as Lab or have measured a color with a colorimeter and need a value you can actually paint to screen. A built-in gamut check flags colors that sRGB cannot reproduce.

How it works

The X, Y, Z inputs are divided by 100 to put them on a 0–1 scale, then multiplied by the inverse sRGB matrix for the D65 white point:

R =  3.2404542*X - 1.5371385*Y - 0.4985314*Z
G = -0.9692660*X + 1.8760108*Y + 0.0415560*Z
B =  0.0556434*X - 0.2040259*Y + 1.0572252*Z

Those linear values are gamma-encoded with the sRGB transfer function — 1.055 * c^(1/2.4) - 0.055 above 0.0031308, otherwise c * 12.92 — and scaled to 0–255. If any linear channel lands below 0 or above 1, the color sits outside the sRGB gamut and is clamped.

Where XYZ values come from

You encounter raw XYZ values in a few workflows:

CIE Lab conversion. Lab and LCH are perceptual spaces defined relative to XYZ. When you use a design tool or color library to convert Lab to a displayable color, it passes through an intermediate XYZ representation. Knowing what that intermediate looks like helps when debugging unexpected hue shifts.
Colorimeter output. Physical color measurement instruments (spectrophotometers, colorimeters) typically report their measurements as XYZ tristimulus values relative to a chosen illuminant. Converting to sRGB lets you preview the measured color on screen.
ICC color profiles. ICC profiles use XYZ as the profile connection space (PCS). Understanding the XYZ-to-RGB step clarifies why colors look different when rendering across profiles.

Worked example

For example, the XYZ values X = 41.24, Y = 21.26, Z = 1.93 (relative to D65 where Y = 100) lie in the red region of the spectrum. After dividing by 100, multiplying by the inverse matrix, applying gamma, and scaling:

The linear red channel comes out above 1.0, meaning the color is more saturated than sRGB can show on that channel.
The converter clamps it and flags the result as out of gamut.
The resulting hex is a saturated red, but it is the closest sRGB approximation, not the exact color.

Contrast this with the D65 white X = 95.05, Y = 100.00, Z = 108.88, which converts cleanly to #ffffff with all channels at exactly 255.

Out-of-gamut colors: what they mean

The sRGB gamut is a triangle of colors that a typical display can reproduce. Many colors a human can see lie outside that triangle — particularly deep cyans, saturated greens, and ultra-vivid spectral hues. When XYZ values map to a linear RGB channel value below 0 or above 1, those values represent those out-of-gamut colors. Clamping to 0–255 gives the closest in-gamut approximation, which is useful for a preview but not accurate color reproduction. If accuracy matters, the correct approach is to use a wider-gamut space (Display P3, Adobe RGB) or work with the XYZ values directly in a system that supports them.

Scale and white-point assumptions

This tool expects the Y = 100 scale (matching the common CIE Lab convention) and the D65 illuminant. If your XYZ values are on a 0–1 scale, multiply each by 100 first. If they were measured under a different illuminant (D50, A, F2), they need chromatic adaptation before this converter will give accurate results.