It depends on the digital camera.
DoF is related to the size of the sensor - if that sensor is a 35mm bit of film, or an 8x10 negative plate, or a thumbnail sized digital sensor, or a inch wide digital SLR sensor.
The smaller the sensor, the deeper the depth of field for an equivalent lens aperture and hence the harder it is to get really shallow DoF.
You can, with a smaller sensor digicam, get some semblance of narrow DoF, by getting very close to the subject - as the DoF decreases the closer the subject in focus is to the lens, but in general it is much harder to get shallow DoF with a small sensor digi cam, compared for example to a 35mm SLR camera or a digital SLR.
Shot on a Canon D60 digital camera

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