Derivative Instruments and Hedging Activities (Derivatives in Cash Flow Hedging Relationships) (Details) - USD ($) $ in Millions	12 Months Ended
	Oct. 31, 2021	Oct. 25, 2020	Oct. 27, 2019
Derivative Instruments, Gain (Loss) [Line Items]
Net sales	$ 23,063	$ 17,202	$ 14,608
Cost of products sold	12,149	9,510	8,222
Research, development and engineering	2,485	2,234	2,054
General and administrative	620	567	461
Interest expense	236	240	237
Amount of Gain or (Loss) Reclassified from AOCI into Consolidated Statement of Operations	(3)	2
Amounts of Gain (Loss) Excluded from Effectiveness Testing Recognized in Consolidated Statement of Operations	(2)	1
Amount of Gain or (Loss) Reclassified from AOCI into Consolidated Statement of Operations			(4)
Amounts of Gain (Loss) Excluded from Effectiveness Testing Recognized in Consolidated Statement of Operations			9
Foreign exchange contracts | Net Sales
Derivative Instruments, Gain (Loss) [Line Items]
Amount of Gain or (Loss) Reclassified from AOCI into Consolidated Statement of Operations	4	(2)
Amounts of Gain (Loss) Excluded from Effectiveness Testing Recognized in Consolidated Statement of Operations	0	4
Foreign exchange contracts | Cost of products sold
Derivative Instruments, Gain (Loss) [Line Items]
Amount of Gain or (Loss) Reclassified from AOCI into Consolidated Statement of Operations	2	6
Amounts of Gain (Loss) Excluded from Effectiveness Testing Recognized in Consolidated Statement of Operations	(2)	(3)
Amount of Gain or (Loss) Reclassified from AOCI into Consolidated Statement of Operations			2
Amounts of Gain (Loss) Excluded from Effectiveness Testing Recognized in Consolidated Statement of Operations			15
Foreign exchange contracts | Research, development, and engineering
Derivative Instruments, Gain (Loss) [Line Items]
Amount of Gain or (Loss) Reclassified from AOCI into Consolidated Statement of Operations	3	4
Amounts of Gain (Loss) Excluded from Effectiveness Testing Recognized in Consolidated Statement of Operations	0	0
Foreign exchange contracts | General and administrative
Derivative Instruments, Gain (Loss) [Line Items]
Amount of Gain or (Loss) Reclassified from AOCI into Consolidated Statement of Operations	1	1
Amounts of Gain (Loss) Excluded from Effectiveness Testing Recognized in Consolidated Statement of Operations	0	0
Amount of Gain or (Loss) Reclassified from AOCI into Consolidated Statement of Operations			(3)
Amounts of Gain (Loss) Excluded from Effectiveness Testing Recognized in Consolidated Statement of Operations			(6)
Interest rate contracts | Interest expense
Derivative Instruments, Gain (Loss) [Line Items]
Amount of Gain or (Loss) Reclassified from AOCI into Consolidated Statement of Operations	(13)	(7)
Amounts of Gain (Loss) Excluded from Effectiveness Testing Recognized in Consolidated Statement of Operations	$ 0	$ 0
Amount of Gain or (Loss) Reclassified from AOCI into Consolidated Statement of Operations			(3)
Amounts of Gain (Loss) Excluded from Effectiveness Testing Recognized in Consolidated Statement of Operations			$ 0