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Stockholders' Equity, Comprehensive Income and Share-Based Compensation (Share-based Compensation) (Details) - USD ($)
$ in Millions
12 Months Ended
Oct. 27, 2019
Oct. 28, 2018
Oct. 29, 2017
Total share-based compensation and related tax benefits      
Total share-based compensation $ 263 $ 258 $ 220
Income tax benefits recognized $ 37 $ 45 $ 60