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Generally speaking, if "Primary (internal) Battery (601)" appears in an alert message, it means the measured storage capacity of the primary battery is less than 25% of the original storage capacity. The number “601” denotes the associated error code that is recorded in the system log.
The best way to check and see if the Battery error is accurate would be to update the Notebook's BIOS and then test the battery again using the Battery Test in the System Diagnostics (F2) environment. Here are the steps for the HP System Diagnostic Battery Test from the Testing and Calibrating the Battery (Windows 7) document:
To access the HP System Diagnostics Battery Test:
Unplug the power cord and turn off the computer.
Press the power button to turn on the computer.
Immediately press the Esc key and press it repeatedly while the computer starts.
The Start Up menu opens.
Press F2 to select F2 System Diagnostics.
Click Battery Test from the list of Hardware Diagnostic options.
Plug in the power cord (if not already done).
Click Start Battery Test.
When the test is complete, the first line of the Battery Test page displays the status or condition of the battery.