Stockholders' Equity, Comprehensive Income and Share-Based Compensation (Details 4) (USD $) In Millions, unless otherwise specified	3 Months Ended		9 Months Ended
	Jul. 27, 2014	Jul. 28, 2013	Jul. 27, 2014	Jul. 28, 2013
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Total share-based compensation	$ 44	$ 40	$ 132	$ 121
Cost of products sold [Member]
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Total share-based compensation	13	13	40	37
Research, development, and engineering [Member]
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Total share-based compensation	16	14	49	39
Marketing and selling [Member]
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Total share-based compensation	6	5	17	15
General and administrative [Member]
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Total share-based compensation	9	8	26	25
Restructuring charge [Member]
Employee Service Share-based Compensation, Allocation of Recognized Period Costs [Line Items]
Total share-based compensation	$ 0	$ 0	$ 0	$ 5