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How is color calculated?

Published in Color Representation 2 mins read

Color calculation, in the digital world, essentially boils down to simple arithmetic based on the number of bits used. It's about how many different shades or colors a system can capture or display, which is determined by a mathematical formula.

The Core Principle: Bits and Colors

The fundamental idea is that each color is represented by a unique binary code (a string of 0s and 1s). The length of this code, measured in bits, directly dictates the number of colors available. Here's how it works:

  • Bits to Colors: To find out how many colors can be represented, you raise the number 2 to the power of the number of bits used. This means 2 multiplied by itself the number of times equal to the bit depth.

Understanding Bit Depth

Bit depth is the term used to define the number of bits allocated for color information. More bits mean more available colors.

Examples of Bit Depths and Color Palettes

Bit Depth Calculation Number of Colors Typical Use Cases
1-bit 21 2 Simple black and white images
2-bit 22 4 Very basic grayscale images
4-bit 24 16 Simple color images
8-bit 28 256 Older images, indexed color images
16-bit 216 65,536 High color, less common now
24-bit 224 16,777,216 True color (standard today)
32-bit 232 ~4.3 billion True color with alpha channel
  • Example: An 8-bit system provides 28, which equals 256 colors.
  • Another Example: A 24-bit system gives you 224 colors, which is 16,777,216. This is commonly known as "True Color" and allows for very smooth and natural images.

How Does This Translate to Images?

  • Each pixel in an image stores color information based on the bit depth.
  • A higher bit depth per pixel provides more gradations and a richer overall visual experience.
  • The system can display more nuanced colors.

Beyond Simple Calculation:

While the calculation of color count is basic, it's important to understand it's just the start of color theory. Additional concepts include color spaces (like RGB or CMYK), gamma correction, and color management, which all influence how colors are displayed and perceived.

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