If the given electronic device says 120VAC, 60Hz, near the power input, then you don't need an AC adapter because the power doesn't need to be stepped-down, rectified, or regulated (or 'adapted' in laymen's terms) before it enters the device. Those devices probably only have a cord that plugs directly into the wall, and all the 'AC adapter' circuitry are internal to the device.
As others have said, an AC adapter provides one of the following:
1. stepped down AC voltage (i.e. 24 VAC)
2. DC voltage (usually something like 5, 9, 12 volts)
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