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Derivative Instruments and Hedging Activities (Derivatives in Statements of Operations) (Details) - USD ($)
$ in Millions
3 Months Ended
Jan. 31, 2016
Jan. 25, 2015
Derivative Instruments, Gain (Loss) [Line Items]    
Effective Portion - Gain or (Loss) Recognized in AOCI $ (6) $ 5
Effective Portion - Gain or (Loss) Reclassified from AOCI into Income (1) 4
Ineffective Portion and Amount Excluded from Effectiveness Testing - Gain or (Loss) Recognized in Income (1) (1)
Foreign exchange contracts [Member] | Cost of products sold [Member]    
Derivative Instruments, Gain (Loss) [Line Items]    
Effective Portion - Gain or (Loss) Recognized in AOCI (6) 5
Effective Portion - Gain or (Loss) Reclassified from AOCI into Income 1 8
Ineffective Portion and Amount Excluded from Effectiveness Testing - Gain or (Loss) Recognized in Income 0 (1)
Foreign exchange contracts [Member] | General and administrative [Member]    
Derivative Instruments, Gain (Loss) [Line Items]    
Effective Portion - Gain or (Loss) Recognized in AOCI 0 0
Effective Portion - Gain or (Loss) Reclassified from AOCI into Income (1) (4)
Ineffective Portion and Amount Excluded from Effectiveness Testing - Gain or (Loss) Recognized in Income (1) 0
Interest rate swap [Member] | Interest expense [Member]    
Derivative Instruments, Gain (Loss) [Line Items]    
Effective Portion - Gain or (Loss) Recognized in AOCI 0 0
Effective Portion - Gain or (Loss) Reclassified from AOCI into Income (1) 0
Ineffective Portion and Amount Excluded from Effectiveness Testing - Gain or (Loss) Recognized in Income $ 0 $ 0