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Derivative Instruments and Hedging Activities (Derivatives in Cash Flow Hedging Relationships) (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Oct. 25, 2020
Jul. 26, 2020
Apr. 26, 2020
Jan. 26, 2020
Oct. 27, 2019
Jul. 28, 2019
Apr. 28, 2019
Jan. 27, 2019
Oct. 25, 2020
Oct. 27, 2019
Oct. 28, 2018
Derivative Instruments, Gain (Loss) [Line Items]                      
Net sales $ 4,688 $ 4,395 $ 3,957 $ 4,162 $ 3,754 $ 3,562 $ 3,539 $ 3,753 $ 17,202 $ 14,608 $ 16,705
Cost of products sold                 9,510 8,222 9,188
Research, development and engineering                 2,234 2,054 2,022
General and administrative                 567 461 483
Interest expense                 240 237 234
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                 1    
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                   9 12
Foreign exchange contracts                      
Derivative Instruments, Gain (Loss) [Line Items]                      
Amount of Gain or (Loss) Reclassified from AOCI into Consolidated Statement of Operations                   (3) (3)
Amounts of Gain (Loss) Excluded from Effectiveness Testing Recognized in Consolidated Statement of Operations                   (6) (7)
Foreign exchange contracts | Net Sales                      
Derivative Instruments, Gain (Loss) [Line Items]                      
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                 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                 6    
Amounts of Gain (Loss) Excluded from Effectiveness Testing Recognized in Consolidated Statement of Operations                 (3)    
Amount of Gain or (Loss) Reclassified from AOCI into Consolidated Statement of Operations                   2 4
Amounts of Gain (Loss) Excluded from Effectiveness Testing Recognized in Consolidated Statement of Operations                   15 19
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                 4    
Amounts of Gain (Loss) Excluded from Effectiveness Testing Recognized in Consolidated Statement of Operations                 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    
Amounts of Gain (Loss) Excluded from Effectiveness Testing Recognized in Consolidated Statement of Operations                 0    
Interest rate contracts | Interest expense                      
Derivative Instruments, Gain (Loss) [Line Items]                      
Amount of Gain or (Loss) Reclassified from AOCI into Consolidated Statement of Operations                 (7)    
Amounts of Gain (Loss) Excluded from Effectiveness Testing Recognized in Consolidated Statement of Operations                 $ 0    
Amount of Gain or (Loss) Reclassified from AOCI into Consolidated Statement of Operations                   (3) (3)
Amounts of Gain (Loss) Excluded from Effectiveness Testing Recognized in Consolidated Statement of Operations                   $ 0 $ 0