DPI to File Size Calculator

Formula

The formula to calculate the File Size (FS) is:

\[ \text{FS} = (\text{W} \times \text{DPI}) \times (\text{H} \times \text{DPI}) \times \text{CD} / 8 \]

Where:

\(\text{FS}\) is the file size in bytes
\(\text{W}\) is the width in inches
\(\text{H}\) is the height in inches
\(\text{DPI}\) is the dots per inch
\(\text{CD}\) is the color depth in bits per pixel

What is DPI?

DPI stands for Dots Per Inch and is a measure of the resolution of a printed or digital image. It indicates the number of individual dots that can be placed within a linear inch. Higher DPI values mean more detail and sharper images, while lower DPI values result in less detail and blurrier images. DPI is commonly used in printing and scanning to ensure that images are reproduced with the desired clarity and detail.

Example Calculation

Let's assume the following values:

Width (W) = 8.5 inches
Height (H) = 11 inches
DPI = 300 dots per inch
Color Depth (CD) = 24 bits per pixel

Using the formula:

\[ \text{FS} = (8.5 \times 300) \times (11 \times 300) \times 24 / 8 = 7650000 \times 24 / 8 = 22950000 / 8 = 2868750 \]

The File Size (FS) is 2,868,750 bytes.