This HEX to CMYK converter utilizes a series of calculations to accurately convert hexadecimal color codes to CMYK (Cyan, Magenta, Yellow, Black) color values.

## How to Manually Convert HEX to CMYK

Converting HEX colors to CMYK is essential for preparing digital designs for print. The process involves a few steps to ensure accurate color representation across different mediums as discussed below:

### Converting HEX to RGB

Before converting to CMYK, the hexadecimal color code needs to be converted to RGB values. A hexadecimal color code is a 6-digit combination of numbers and letters (0-9, A-F) that represents the intensity of red, green, and blue colors.

Hexadecimal | Decimal |

0 | 0 |

1 | 1 |

2 | 2 |

3 | 3 |

4 | 4 |

5 | 5 |

6 | 6 |

7 | 7 |

8 | 8 |

9 | 9 |

A | 10 |

B | 11 |

C | 12 |

D | 13 |

E | 14 |

F | 15 |

**To convert HEX to RGB:**

- Divide the hexadecimal code into three pairs of two digits (e.g., #FF0000 becomes FF, 00, 00).
- Convert each pair into its decimal equivalent (FF = 255, 00 = 0).
- These three decimal values represent the RGB values (e.g., #FF0000 = RGB (255, 0, 0)).

*For Example:*

Let’s say, the hex code is #336699.

- Divide it into three pairs of two digits: 33, 66, and 99
- Now, Converting each pair into its decimal equivalent:
- 33 in hexadecimal is equivalent to (3 * 16) + 3 = 51 in decimal.
- 66 in hexadecimal is equivalent to (6 * 16) + 6 = 102 in decimal.
- 99 in hexadecimal is equivalent to (9 * 16) + 9 = 153 in decimal.

Therefore, the RGB values are (51, 102, 153)

### Normalization of RGB Values

Once the RGB values are obtained, they need to be normalized to a scale of 0 to 1 by dividing each value by 255:

- R* = R / 255
- G* = G / 255
- B* = B / 255

**Continuing Example:** Normalize each RGB value by dividing it by 255:

- R* = 51 / 255 = 0.2
- G* = 102 / 255 = 0.4
- B* = 153 / 255 = 0.6

Normalized RGB values: (0.2, 0.4, 0.6)

### Conversion to CMYK

With the normalized RGB values, the conversion to CMYK can proceed using the following formulas:

**Step 1: Calculate the Black Key Color (K)**

K = 1 – MAX(R*, G*, B*)

*Interpreting Formula*:

MAX (0.2, 0.4, 0.6) = 0.6

K = 1 – 0.6 = 0.4

**Step 2: Calculate the Cyan Color (C)**

C = (1 – R* – K) / (1 – K)

*Interpreting Formula:*

C = (1 – 0.2 – 0.4) / (1 – 0.4) = 0.4 / 0.6 = 0.6667

**Step 3: Calculate the Magenta Color (M)**

M = (1 – G* – K) / (1 – K)

*Interpreting Formula:*

M = (1 – 0.4 – 0.4) / (1 – 0.4) = 0.2 / 0.6 = 0.3333

**Step 4: Calculate the Yellow Color (Y)**

Y = (1 – B* – K) / (1 – K)

*Interpreting Formula:*

Y = (1 – 0.6 – 0.4) / (1 – 0.4) = 0 / 0.6 = 0

### Interpreting CMYK Values

The resulting CMYK values are approximately (0.6667, 0.3333, 0, 0.4). This means that approximately 67% Cyan, 33% Magenta, 0% Yellow, and 40% Black ink are needed to reproduce the color represented by the HEX code #336699 in print.

## Examples to Convert HEX to CMYK with formula without tool

**Example 1:**

HEX Color: #FF6347

CMYK Values: (0%, 61%, 72%, 0%)

Color Representation: This corresponds to a vibrant shade of orange-red.

**Example 2:**

HEX Color: #00CED1

CMYK Values: (100%, 1%, 0%, 18%)

Color Representation: This corresponds to a bright turquoise color.

**Example 3:**

HEX Color: #800080

CMYK Values: (0%, 100%, 0%, 50%)

Color Representation: This corresponds to a rich purple color.

**Example 4:**

HEX Color: #FFFF00

CMYK Values: (0%, 0%, 100%, 0%)

Color Representation: This corresponds to a bright yellow color.

**Example 5:**

HEX Color: #7CFC00

CMYK Values: (51%, 0%, 100%, 1%)

Color Representation: This corresponds to a vibrant shade of green-yellow.