Converting HSV (Hue, Saturation, Value) to HEX (hexadecimal color code) is a straightforward process. HSV is a color model that represents colors based on their Hue (color), Saturation (vibrancy), and Value (brightness). HEX is commonly used in web design and represents colors in a 6-digit hexadecimal format.
Steps to Convert HSV to HEX:
Normalize the HSV values:
Hue (H): Should be in the range of 0° to 360°.
Saturation (S): Should be a percentage, so it must be in the range of 0 to 100.
Value (V): Should also be a percentage, so it must be in the range of 0 to 100.
If the Saturation (S) or Value (V) is in a range from 0 to 1, you should multiply them by 100 to get them into the percentage range.
Convert HSV to RGB: The first step in converting HSV to HEX is to convert the HSV color to RGB values. Here's the formula for converting HSV to RGB:
C = V × S
X = C × (1 - |((H / 60) % 2) - 1|)
m = V - C
Where:
C is the chroma (the intensity of the color),
X is an intermediate value to adjust the RGB channels based on hue,
m is the minimum value added to adjust the final color.
Based on the Hue (H) value, we determine in which of the 6 sectors of the color wheel the color lies. Then we use the following formulas to calculate RGB:
If 0° ≤ H < 60°:
R' = C, G' = X, B' = 0
If 60° ≤ H < 120°:
R' = X, G' = C, B' = 0
If 120° ≤ H < 180°:
R' = 0, G' = C, B' = X
If 180° ≤ H < 240°:
R' = 0, G' = X, B' = C
If 240° ≤ H < 300°:
R' = X, G' = 0, B' = C
If 300° ≤ H < 360°:
R' = C, G' = 0, B' = X
Adjust RGB values: After calculating the intermediate RGB values (R', G', B'), we adjust by adding m to each channel:
R = (R' + m) × 255
G = (G' + m) × 255
B = (B' + m) × 255
Convert RGB to HEX: Finally, convert the RGB values into the HEX format by converting each RGB value to its hexadecimal equivalent.
Example Conversion:
Example 1: HSV(0°, 100%, 100%)
HSV: (0°, 100%, 100%)
H = 0°, S = 100% = 1.0, V = 100% = 1.0
Step 1: Convert HSV to RGB:
C = 1.0 × 1.0 = 1.0
X = 1.0 × (1 - |(0° / 60) % 2 - 1|) = 1.0
m = 1.0 - 1.0 = 0.0
Since H = 0°, the color is in the red sector (0° to 60°), so:
R' = C = 1.0, G' = X = 0.0, B' = 0.0
Now, adjust by adding m:
R = (1.0 + 0.0) × 255 = 255
G = (0.0 + 0.0) × 255 = 0
B = (0.0 + 0.0) × 255 = 0
RGB = (255, 0, 0)
Step 2: Convert RGB to HEX:
R = 255 → FF
G = 0 → 00
B = 0 → 00
HEX = #FF0000 (Pure red).
Example 2: HSV(240°, 100%, 100%)
HSV: (240°, 100%, 100%)
H = 240°, S = 100% = 1.0, V = 100% = 1.0
Step 1: Convert HSV to RGB:
C = 1.0 × 1.0 = 1.0
X = 1.0 × (1 - |(240° / 60) % 2 - 1|) = 1.0 × (1 - |(4) % 2 - 1|) = 1.0
m = 1.0 - 1.0 = 0.0
Since 240° ≤ H < 300°, the color is in the blue sector (240° to 300°), so:
R' = C = 1.0, G' = 0.0, B' = X = 1.0
Now, adjust by adding m:
R = (1.0 + 0.0) × 255 = 255
G = (0.0 + 0.0) × 255 = 0
B = (1.0 + 0.0) × 255 = 255
RGB = (255, 0, 255)
Step 2: Convert RGB to HEX:
R = 255 → FF
G = 0 → 00
B = 255 → FF
HEX = #FF00FF (Magenta).
Example 3: HSV(120°, 100%, 50%)
HSV: (120°, 100%, 50%)
H = 120°, S = 100% = 1.0, V = 50% = 0.5
Step 1: Convert HSV to RGB:
C = 0.5 × 1.0 = 0.5
X = 0.5 × (1 - |(120° / 60) % 2 - 1|) = 0.5 × (1 - |(2) % 2 - 1|) = 0.5
m = 0.5 - 0.5 = 0.0
Since 120° ≤ H < 180°, the color is in the green sector (120° to 180°), so:
R' = 0.0, G' = C = 0.5, B' = X = 0.5
Now, adjust by adding m:
R = (0.0 + 0.0) × 255 = 0
G = (0.5 + 0.0) × 255 = 127.5 ≈ 128
B = (0.5 + 0.0) × 255 = 127.5 ≈ 128
RGB = (0, 128, 0)
Step 2: Convert RGB to HEX:
R = 0 → 00
G = 128 → 80
B = 0 → 00
HEX = #008000 (Green).