Derivative Instruments and Hedging Activities (Derivatives in Cash Flow Hedging Relationships) (Details) - USD ($) $ in Millions	12 Months Ended
	Oct. 27, 2019	Oct. 28, 2018	Oct. 29, 2017
Derivative Instruments, Gain (Loss) [Line Items]
Gain or (Loss)	$ (14)	$ 3	$ 21
Gain or (Loss) Reclassified from AOCI into Income	(4)	(2)	11
Gain or (Loss) Recognized in Income	9	12	(5)
Foreign exchange contracts
Derivative Instruments, Gain (Loss) [Line Items]
Gain or (Loss)	(14)	3	35
Gain or (Loss) Reclassified from AOCI into Income	0	0	0
Gain or (Loss) Recognized in Income	0	0	0
Foreign exchange contracts | Cost of products sold
Derivative Instruments, Gain (Loss) [Line Items]
Gain or (Loss)	0	0	0
Gain or (Loss) Reclassified from AOCI into Income	2	4	7
Gain or (Loss) Recognized in Income	15	19	(3)
Foreign exchange contracts | General and administrative
Derivative Instruments, Gain (Loss) [Line Items]
Gain or (Loss)	0	0	0
Gain or (Loss) Reclassified from AOCI into Income	(3)	(3)	7
Gain or (Loss) Recognized in Income	(6)	(7)	(2)
Interest rate contracts
Derivative Instruments, Gain (Loss) [Line Items]
Gain or (Loss)			(14)
Gain or (Loss) Reclassified from AOCI into Income			0
Gain or (Loss) Recognized in Income			0
Interest rate contracts | Interest expense
Derivative Instruments, Gain (Loss) [Line Items]
Gain or (Loss)	0	0	0
Gain or (Loss) Reclassified from AOCI into Income	(3)	(3)	(3)
Gain or (Loss) Recognized in Income	$ 0	$ 0	$ 0