Stockholders' Equity, Comprehensive Income and Share-Based Compensation - Share-Based Compensation (Details) - USD ($) $ in Millions	3 Months Ended		6 Months Ended
	Apr. 26, 2026	Apr. 27, 2025	Apr. 26, 2026	Apr. 27, 2025
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Total share-based compensation	$ 169	$ 159	$ 376	$ 354
Cost of products sold
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Total share-based compensation	45	40	88	78
Research, development and engineering
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Total share-based compensation	70	64	143	131
Marketing and selling
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Total share-based compensation	20	22	41	42
General and administrative
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Total share-based compensation	$ 34	$ 33	$ 104	$ 103