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Stockholders' Equity, Comprehensive Income and Share-Based Compensation (Share-based Compensation) (Details) - USD ($)
$ in Millions
12 Months Ended
Oct. 28, 2018
Oct. 29, 2017
Oct. 30, 2016
Total share-based compensation and related tax benefits      
Share-based compensation $ 258 $ 220 $ 201
Tax benefit recognized $ 45 $ 60 $ 63