HSV to RGB Converter

Instantly convert HSV to RGB with real-time color preview. Essential for designers, developers, and digital artists.

HSV to RGB conversion: Hue (0°–360°), Saturation (0%–100%), Value (0%–100%). The RGB result will be in the range 0–255.

#
RGB Conversion Results
255
Red
0
Green
0
Blue
HSV Input
hsv(0°, 100%, 100%)
RGB Output
rgb(255, 0, 0)
Hex Value
#FF0000

Conversion formula summary:

Given H in [0,360), S and V in [0,1] (percentages/100). Compute C = V × S, X = C × (1 - |(H/60) mod 2 - 1|), m = V - C. Then (R',G',B') depends on the sector of H, and final RGB = ((R'+m)×255, (G'+m)×255, (B'+m)×255).

Understanding HSV to RGB Conversion

HSV (Hue, Saturation, Value) is a cylindrical color model. Converting to RGB (Red, Green, Blue) is essential for display on screens. The transformation is a standard algorithm used in graphics and design.

Algorithm steps (with H in degrees, S and V in [0,1]):

  1. Compute C = V × S (chroma)
  2. Compute X = C × (1 - |(H/60) mod 2 - 1|)
  3. Compute m = V - C
  4. Determine (R', G', B') based on H sector:
    • 0° ≤ H < 60°: (C, X, 0)
    • 60° ≤ H < 120°: (X, C, 0)
    • 120° ≤ H < 180°: (0, C, X)
    • 180° ≤ H < 240°: (0, X, C)
    • 240° ≤ H < 300°: (X, 0, C)
    • 300° ≤ H < 360°: (C, 0, X)
  5. Final RGB = ((R'+m)×255, (G'+m)×255, (B'+m)×255), rounded to integers.

Why Convert HSV to RGB?

  • Display: Screens use RGB, so HSV values must be converted for color reproduction.
  • Intuitive adjustments: Designers often tweak hue, saturation, or value, then need the corresponding RGB for implementation.
  • Interoperability: Many color pickers and graphics libraries work in HSV, but output requires RGB.

Frequently Asked Questions

RGB values are integers from 0 to 255 inclusive. The conversion formula ensures this range.

Hue is typically defined in [0,360). If you enter 360, the algorithm treats it as 0° (since it's the same color). Our tool clamps H to 0–360 and effectively uses H modulo 360.

HSV and HSB (Hue, Saturation, Brightness) are essentially the same model. Value and Brightness are synonyms.