The ebook devices do have a processor that also requires power. The Cool-er may not be very efficient, and use up more power than some other devices (in addition to the display power alone). Sony is known for putting out very power-conservative devices. My favorite music player was/is a small round 1GB Sony unit (forget the exact model number). It ran for over 40 hours on a single AAA battery. My later rechargeable Sony music player also got over 40 hours on a single charge, and was the size of a butane lighter. Even my old hard-disk-based SOny player (HD-5) got well over 30 hours on a single charge.
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