Computer monitor resolution (ie: web sites) is considered low resolution (72 DPI) while print (ie: glossy four colour printing) requires high resolution (minimum 266 DPI).

Some print reproduction (ie: newspaper and newsprint) require medium resolution of approx 150 DPI. In this context resolution refers to the number of pixels per inch in a bitmap image (.GIF, .JPG, etc.).

In digital formats, resolution is also referred to as Pixels per Inch (PPI). Images prepped for monitor usage are generally 72 PPI.

Images prepped for quality print should be a minimum of 266 DPI (higher is often preferred).

Pixel images can be reduced to meet resolution requirements (i.e.: a 300 dpi image can be safely converted to a 72 DPI image) but cannot be enlarged without serious image degradation (the image will appear fuzzy or pixelated). A 72 DPI pixel based image cannot be resampled to a 300 dpi image without ruining the integrity of the image. To prepare a 300 DPI image or your logo design usually requires access to a vector version of the logo, which can then be rasterized into a high resolution image. DPI does generally not apply to vector versions of your logo (unless in terms of film output) as for all practical purposes, vector logo formats have unlimited resolution and can be converted to any DPI pixel based images.