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Stockholders' Equity, Comprehensive Income and Share-Based Compensation (Effect of Share-based Compensation) (Details) - USD ($)
$ in Millions
12 Months Ended
Oct. 30, 2022
Oct. 31, 2021
Oct. 25, 2020
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Total share-based compensation $ 413 $ 346 $ 307
Income tax benefits recognized 51 43 39
Cost of products sold      
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Total share-based compensation 147 118 103
Research, development, and engineering      
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Total share-based compensation 151 129 116
Marketing and selling      
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Total share-based compensation 49 43 36
General and administrative      
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]      
Total share-based compensation $ 66 $ 56 $ 52