Derivative Instruments and Hedging Activities - Gain/Loss Recognized in Income (Details) - USD ($) $ in Millions	3 Months Ended
	Jan. 31, 2021	Jan. 26, 2020
Derivative Instruments, Gain (Loss) [Line Items]
Gain (loss) on derivatives not designated as hedging instruments	$ 8	$ 4
Foreign exchange contracts | Interest and other income, net
Derivative Instruments, Gain (Loss) [Line Items]
Gain (loss) on derivatives not designated as hedging instruments	0	4
Total return swaps - deferred compensation | Cost of products sold
Derivative Instruments, Gain (Loss) [Line Items]
Gain (loss) on derivatives not designated as hedging instruments	1	0
Total return swaps - deferred compensation | Operating expenses
Derivative Instruments, Gain (Loss) [Line Items]
Gain (loss) on derivatives not designated as hedging instruments	$ 7	$ 0